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1 |
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ุจุงุณู
ุงููู ุงูุฑุญู
ู ุงูุฑุญูู
ุงูุญู
ุฏ ููู ุฑุจ ุงูุนุงูู
ูู |
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2 |
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00:00:22,910 --> 00:00:26,410 |
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ูุงูุตูุงุฉ ูุงูุณูุงู
ุนูู ุณูุฏูุง ู
ุญู
ุฏ ูุนูู ุฃููู ูุตุญุจู |
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3 |
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00:00:26,410 --> 00:00:29,810 |
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ูุณูู
ุฃุฌู
ุนูู ูู ุงูุจุฏุงูุฉ ุจูุฑุญุจ ุฌู
ูุน ุงูุฅุฎูุฉ ุงูุฃุฎูุงุช |
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4 |
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00:00:29,810 --> 00:00:33,670 |
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ูุงูุทุงูุจุงุช ูู ู
ุตุงู business statistics ูู ุงููุตู |
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5 |
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00:00:33,670 --> 00:00:37,110 |
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ุงูุฏุฑุงุณู ุงูุชุงูู ุงููู ุงู ุดุงุก ุงููู ุงุชุนูุญ ููู ููุณุชุฎุฏู
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6 |
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00:00:37,110 --> 00:00:40,790 |
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.. ูุงู ุงููุชุงุจ business statistics ู
ูุฌูุฏ ูู ุงูู
ูุชุจุฉ |
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7 |
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00:00:40,790 --> 00:00:44,930 |
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ุงูุขู ูู ู
ูุชุจุฉ ุงูุฑุฃ ุงู .. ุฒู ู
ุง ุญููุชู ุงูู
ุฑุฉ ูุงุชุฑุฉ |
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8 |
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00:00:44,930 --> 00:00:48,640 |
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ุงููุชุงุจ ููู ุงู bar point ุจุงููุงู
ููู seven chapters |
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9 |
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00:00:48,640 --> 00:00:55,200 |
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ูู
ุชูุงุชุฉ ู ุณุชุฉ ู ุณุจุนุฉ ู ุชุณุนุฉ ู ุนุดุฑ ุงู ูุงุญุฏ ุนุงุด ู |
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10 |
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00:00:55,200 --> 00:00:58,880 |
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ุงุชูุงุด ูุฏูู ุงู seven chapters ููุงุฎุฏูู
ุฒุงุฆุฏ ุญุทูุช ุงู |
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11 |
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00:00:58,880 --> 00:01:03,460 |
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practice ููู chapter ู
ูุฌูุฏ ุฒุงุฆุฏ ุงู previous exams |
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12 |
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00:01:03,460 --> 00:01:09,200 |
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ุญุทูุช ุงุฑุจุน ุงู
ุชุญุงูุงุช ูููุณ ุงู course ูููุณ ุงููุชุงุจ ุทุจุนุง |
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13 |
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00:01:09,200 --> 00:01:12,820 |
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ูู ุงู
ุชุญุงูุงุช ุชุงููุฉ ูุญุทูุง ุนูู ุงูุตูุญุฉ ุงู ุดุงุก ุงูููุจุฑุถู |
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14 |
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00:01:12,820 --> 00:01:16,420 |
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ูุญุทูู PDF ู ุงู PowerPoint ูุงู
ูุฉ ูุญุทูู ูููุง |
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15 |
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00:01:16,420 --> 00:01:20,700 |
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PowerPoint file ุฒู ุงู PDF ูู ุญุจูุช ุชูุฑุฃ ู
ููุง ุนูู |
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16 |
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00:01:20,700 --> 00:01:24,200 |
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ุงูุฌูุงู ุนูู ุงู laptop ูู ุฃู ู
ูุงู ูููู ุนูุฏู ุดุบูุชูู |
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17 |
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00:01:24,200 --> 00:01:28,240 |
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hard copy ุฒู ููู ูููุณ ู ุงู soft copy ุชููู ู
ูุฌูุฏุฉ |
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18 |
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00:01:28,240 --> 00:01:32,060 |
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ู
ุนุงู ุทุจุนุง ุงู soft copy ุฃูุง ุนุงูุฒูุง ูู ุงูู
ุญุงุถุฑุฉ ููุง |
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19 |
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00:01:32,060 --> 00:01:36,400 |
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ุจุญูุซ ุฃูู ู ุฃูุง ุจุดุฑุญ ุญูู ุชูุชุจ ุดููุฉ ู
ูุงุญุธุงุช ูุนูู |
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20 |
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00:01:36,400 --> 00:01:39,960 |
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ุจุชุนู
ู notes ุฅููู ุฒูุงุฏุฉ ูุฃูู ุบุงูุจุง ุงู notes ุงููู ูู |
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21 |
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00:01:39,960 --> 00:01:45,200 |
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ุงู PowerPoint ู
ุด ูุงู
ูุฉุจุชุญุท ุดููุฉ ุดุบูุงุช ุนูููุง ุงูููู
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22 |
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00:01:45,200 --> 00:01:49,720 |
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ุฅู ุดุงุก ุงููู ูุจุฏุฃ ู
ุจุงุดุฑุฉ ูู chapter ูุงุญุฏ ุงู chapter |
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23 |
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00:01:49,720 --> 00:01:54,100 |
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ุงูุฃูู ุนูููู ูู chapter ุฑูู
ุชูุงุชู ุฅุฐุง ุงู course |
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24 |
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00:01:54,100 --> 00:02:00,840 |
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ุชุจุนูุง ุงุณู
ู basic statistics ุฃูู chapter ุจูุณู
ูู |
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25 |
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00:02:00,840 --> 00:02:05,820 |
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numerical descriptive measures ุงููู ูู ู
ูููุณ |
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26 |
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00:02:05,820 --> 00:02:12,160 |
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ุงููุตููุฉ ุงูุฑูู
ูุฉุจุชุนุฑู ุงุญูุง ุงู data in general has |
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27 |
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00:02:12,160 --> 00:02:19,940 |
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two types ุงู
ุง numerical ูุณู
ููุง numerical data ุงู |
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28 |
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00:02:19,940 --> 00:02:27,200 |
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ูุณู
ููุง ุงูุชุงููุฉ categorical data ุงุฐุง ูุณู
ููุง |
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29 |
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00:02:27,200 --> 00:02:35,260 |
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numerical data ุงู ุงุญูุง ูุณู
ููุง quantitative ุงู |
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30 |
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00:02:35,260 --> 00:02:36,080 |
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ูุณู
ููุง qualitative |
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31 |
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00:02:40,210 --> 00:02:44,670 |
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ุงูุจูุงูุงุช ูุฏููุง ุฃุดุฎุงุต ู
ุฎุชููุฉ ุจุดูู ุนุงู
ูุงุญุฏุฉ ุจูุณู
ููุง |
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32 |
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00:02:44,670 --> 00:02:48,250 |
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numerical data ุงู quantitative data ูุงูุซุงููุฉ |
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33 |
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00:02:48,250 --> 00:02:53,370 |
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ุจุณู
ููุง qualitative data ุงู categorical data ุนูู |
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34 |
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00:02:53,370 --> 00:02:59,750 |
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ุณุจูู ุงูู
ุซุงู ุนูุฏู
ุง ูุชุญุฏุซ ุนู ุนู
ุฑ ุนู
ุฑ ูู ุงููู
ุฑู ุงุฐุง |
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35 |
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00:02:59,750 --> 00:03:08,310 |
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ุนู
ุฑู 18 ุณูุฉ 18 ูู ููู
ุฉ ูู
ุฑู ุงุฐุง ููุง ูุชุญุฏุซ ุนู ุงูุถุบุท |
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36 |
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00:03:11,990 --> 00:03:17,590 |
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ุนูู ุณุจูู ุงูู
ุซุงูุ ูู
ูุฉ ุนุงู
ุฉ ูุฐู ุงูุฏุฑุงุณุฉ ูู 70 ูููู |
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37 |
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00:03:17,590 --> 00:03:23,510 |
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ุฌุฑุงู
ุ ูุฐุง ูู ุงูููู
ุฉ ุงููู
ูุฐุฌูุฉ ุนูุฏู
ุง ูุชููู
ุนู |
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38 |
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00:03:23,510 --> 00:03:27,970 |
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ุงูุจูุงูุงุช ุงููุชูุฑูููุฉ ุฃู ุงูุจูุงูุงุช ุงูุชูููุฏูุฉ ุนูู ุณุจูู |
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39 |
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00:03:27,970 --> 00:03:33,610 |
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ุงูู
ุซุงู ุงูุฌูุณ ุฅู
ุง ุงูู
ูุงููู ุฃู ุงูู
ูุงููู ุฃู ุงูู
ูุงููู |
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40 |
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00:03:33,610 --> 00:03:36,670 |
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ูุฐุง |
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41 |
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00:03:36,670 --> 00:03:40,710 |
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ูุณู
ู ุชูููุฏูุฉ ุชูููุฏูุฉ ู
ุนูุงู ููุนู |
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42 |
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00:03:43,490 --> 00:03:49,390 |
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Quantitative ูุนูู ุฑูู
ู This chapter focus on |
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43 |
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00:03:49,390 --> 00:03:54,150 |
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numerical descriptive measures ุจูุฑูุฒ ุนูู ุงูู
ูููุณ |
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44 |
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00:03:54,150 --> 00:03:59,430 |
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ุงููุตููุฉ ุงูุฑูู
ูุฉ So we are talking about something |
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45 |
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00:03:59,430 --> 00:04:09,370 |
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like scores Now suppose your score is 90 90 is |
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46 |
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00:04:09,370 --> 00:04:14,540 |
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numerical valueุงูุงู ููู ููุฑุฑ ุงูู
ุนููู
ุงุช ุฅุฐุง ูุงู |
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47 |
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00:04:14,540 --> 00:04:19,240 |
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ูุฏููุง ููู
ุฉ ูู
ูุฐูุฉุ ูู |
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48 |
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00:04:19,240 --> 00:04:25,180 |
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ูุฐู ุงููุตุฉ ูุฏููุง ุฃุฑุจุน ุฃูุฏุงู ุงูุฃููุฉ |
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49 |
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00:04:25,180 --> 00:04:30,760 |
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ุชุณู
ุญ ุจูProperties of Central Tendency ูุญุธุฉ ูุงู ูู |
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50 |
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00:04:30,760 --> 00:04:38,740 |
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ุนูุฏู ุฃูู ุชุนุฑูู Central Tendency ุฅูุด |
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51 |
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00:04:38,740 --> 00:04:46,420 |
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ู
ุนูู Centralุู
ุฑูุฒ tendency ูุฒุนุฉ ุจุงูุธุจุท ููู ุจูุณู
ููุง |
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52 |
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00:04:46,420 --> 00:04:51,220 |
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ูุฒุนุฉ ุงูู
ุฑูุฒูุฉ ุดูู ุงูุง ูุญุงูู ุงูู
ุตุทูุญุงุช ุชุญูู ุนุฑุจู |
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53 |
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00:04:51,220 --> 00:04:56,880 |
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ุงูุฌููุฒู ููู ุนูุฏู describe the probabilities of |
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54 |
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00:04:56,880 --> 00:05:01,180 |
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central tendency ู
ุนูุงูุง |
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55 |
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00:05:01,180 --> 00:05:09,040 |
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ุจุฏุฃ ุงุดุฑุญ ุงู ุงูุตู ุฎุตุงุฆุต ูุฒุนุฉ ุงูู
ุฑูุฒูุฉ variation ุงูุด |
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56 |
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00:05:09,040 --> 00:05:09,680 |
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ูุนูู variation |
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57 |
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00:05:12,930 --> 00:05:18,950 |
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variation ู
ุนูุงู ุงุฎุชูุงู ุงู |
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58 |
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00:05:18,950 --> 00:05:27,070 |
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ุชุดุชุช ุงู ุชุจูู and shape in numerical data ุดูู |
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59 |
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00:05:33,740 --> 00:05:37,360 |
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ูู ูุฐู ุงูู
ูุงูุฉ ุณูุชุญุฏุซ ุนู ุซูุงุซ ุฃุณุฆูุฉ ุงูุฑุฆูุณูุฉ |
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60 |
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00:05:37,360 --> 00:05:49,800 |
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ููู
ูุงูุงุช ุงูุฑุณู
ูุฉ ุงูุฃููู ูู ุชูุฏูุณูุฉ ู
ุฑูุฒูุฉ ุงูุงุฎุชูุงู |
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61 |
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00:05:49,800 --> 00:05:51,260 |
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ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู |
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62 |
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00:05:51,260 --> 00:05:51,760 |
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ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู |
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63 |
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00:05:51,760 --> 00:05:52,700 |
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ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู |
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64 |
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00:05:52,700 --> 00:05:52,720 |
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ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู |
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65 |
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00:05:52,720 --> 00:05:55,880 |
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ุงูุงุฎุชูุงู ุงู |
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66 |
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00:05:55,880 --> 00:05:59,020 |
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ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู ุงู ุชุดุชุทู ุงูุงุฎุชูุงู |
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67 |
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00:05:59,020 --> 00:05:59,100 |
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ุงู ุชุดุชุท |
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68 |
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00:06:02,390 --> 00:06:07,790 |
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construct ู
ุนูุงูุง ุจูุงุก |
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69 |
|
00:06:07,790 --> 00:06:17,270 |
|
ุฃู ุฅูุดุงุก ุฃู ุฅูุดุงุก ุฃู ุฑุณู
ุณู
ููุง interpret ุชูุณูุฑ |
|
|
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70 |
|
00:06:17,270 --> 00:06:22,190 |
|
ุจุชูุณูุฑ ุจูุณ ุจูุงุช ุญุฏ ูุณู
ููุง ุจูุณ ุจูุงุช ููุงุฎุฏูุง |
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71 |
|
00:06:22,190 --> 00:06:26,610 |
|
ุจุงูุชูุณูุฑ ุจุนุฏูู ุฅุฐุง ุจูุนู
ู ุจูุงุก ูุงูุชุนููู ุฃู ุงูุชูุณูุฑ |
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72 |
|
00:06:26,610 --> 00:06:30,630 |
|
ุจูุณ ุจูุงุช number three compute descriptive summary |
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73 |
|
00:06:30,630 --> 00:06:34,760 |
|
measures for a populationIn general, we have |
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74 |
|
00:06:34,760 --> 00:06:38,860 |
|
population suppose we are talking about IUG |
|
|
|
75 |
|
00:06:38,860 --> 00:06:45,580 |
|
students ุจุชููู
ุนูู all IUG studentsุ ูู ุทูุจุฉ |
|
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76 |
|
00:06:45,580 --> 00:06:55,660 |
|
ุงูุฌุงู
ุนุฉ ุงูุฅุณูุงู
ูุฉ ุจุญูู ููุ ุจุชููู
ุนู population ุฅูุด |
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77 |
|
00:06:55,660 --> 00:07:03,910 |
|
ู
ุนูู populationุ ู
ุฌุชู
ุนุ ู
ุฌุชู
ุน ููููู ุฃุฎุฏุช ู
ูู ุณุงู
ุจู |
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78 |
|
00:07:03,910 --> 00:07:10,670 |
|
ุตุบูุฑู ููุฐุง ููุชุฑุถ ุณุงู
ุจู ููุฐุง ุทุจุนุง ุงู size ุชุจุน |
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79 |
|
00:07:10,670 --> 00:07:15,030 |
|
population ู
ู
ูู ูููู ู
ุซูุง ุณุชุฉ ุนุดุฑ ุฃููุ sixty |
|
|
|
80 |
|
00:07:15,030 --> 00:07:20,910 |
|
thousand ุงูุณุงู
ุจู ุฅูุด ูุชูููุ ุฌุฒุกุ ู
ู
ูู ูุงุฎุฏ ู
ูุฉ |
|
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81 |
|
00:07:20,910 --> 00:07:26,410 |
|
ู
ููู
ุ ุนููุฉ number that he talks aboutHow can we |
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82 |
|
00:07:26,410 --> 00:07:30,810 |
|
compute descriptive measures for a population for |
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83 |
|
00:07:30,810 --> 00:07:34,670 |
|
the entire data for the entire data we have plus |
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84 |
|
00:07:34,670 --> 00:07:39,270 |
|
objective calculate the covariance and the |
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85 |
|
00:07:39,270 --> 00:07:44,150 |
|
coefficient of correlation variance ู
ุนูุงู ุงูุดุ |
|
|
|
86 |
|
00:07:44,150 --> 00:07:53,010 |
|
ุชุจุงูู
ู co .. ุงู ุญุงุฌุฉ co ู
ุนูุงูุง ู
ุดุชุฑูุฅุฐุง ุจุฏูุง ูุญุณุจ |
|
|
|
87 |
|
00:07:53,010 --> 00:07:57,750 |
|
ุงูุชุจุงูู ุงูู
ุดุชุฑู ุฃู ุณู
ูุญุงูุง ุงูุชุบูุฑ ูุฐุง ูู ุขุฎุฑ |
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88 |
|
00:07:57,750 --> 00:08:00,990 |
|
ุงูุญููู ุฅู ุดุงุก ุงููู ุฅุฐุง ูุชููู
ุนู ุงูู covariance |
|
|
|
89 |
|
00:08:00,990 --> 00:08:07,630 |
|
ุชุบูุฑ and |
|
|
|
90 |
|
00:08:07,630 --> 00:08:11,650 |
|
the coefficient of correlation ุงููู ูู ุฃูุดุ ู
ุนุงู
ู |
|
|
|
91 |
|
00:08:11,650 --> 00:08:15,910 |
|
ุงูุฅุฑุชุจุงุท ูุฐูู four objectives ูุญุธุฉ ูู ุนูุฏู ุดููุฉ |
|
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|
92 |
|
00:08:15,910 --> 00:08:20,630 |
|
ู
ุตุทูุญุงุช ุฌุฏูุฏุฉ ุฃูุง ุจุงูุตุญู ุฎููู ุนูุฏู ุฏูุชุฑ ูุญุงู ู ููู |
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|
|
93 |
|
00:08:20,630 --> 00:08:28,170 |
|
ูู ..ููู
ุตุทูุญุงุช ูุฏูู ุฒู Center Tendency Variation |
|
|
|
94 |
|
00:08:28,170 --> 00:08:33,750 |
|
Shape Interpret Covariance Correlation ูุฏูู |
|
|
|
95 |
|
00:08:33,750 --> 00:08:37,010 |
|
ู
ุตุทูุญุงุช ุฃูุง ุณุงุฎุฏูููุง ุจูุซุฑุฉ ูุจุงูุชุงูู ูููุณ ูููู ุนูุฏู |
|
|
|
96 |
|
00:08:37,010 --> 00:08:46,010 |
|
ุชูุฎูุต ููู
ุงููู |
|
|
|
97 |
|
00:08:46,010 --> 00:08:50,980 |
|
ุฃูุง ูุชููู
ุนูู summary definitions ุจุนุถ ุงูุชุนุฑููุงุชู |
|
|
|
98 |
|
00:08:50,980 --> 00:09:15,060 |
|
ููุจุฏุฃ ุจุฃูู ูุงุญุฏ ุงูู central tendency ู
ุฑุฉ |
|
|
|
99 |
|
00:09:15,060 --> 00:09:19,700 |
|
ุชุงููุฉ ุงู central tendency ู
ุนูุงูุง ูุฒุนุฉ ู
ุฑูุฒูุฉ |
|
|
|
100 |
|
00:09:27,100 --> 00:09:31,140 |
|
ุงููู ูู ุณุฃูุช ูู ูุงุญุฏุฉ ููููุง ุนู
ุฑูุงุ ู
ู
ูู ูุงุญุฏุฉ |
|
|
|
101 |
|
00:09:31,140 --> 00:09:35,080 |
|
ุงูุณุจุนุชุงุดุ ูุงุญุฏุฉ ุชู
ุงูุชุงุดุ ูุงุญุฏุฉ ุนุดุฑูู ููุงูุฐุงุ ูู |
|
|
|
102 |
|
00:09:35,080 --> 00:09:38,900 |
|
ุนุงูุฒ ุฃุฎุฏ ุงู center ุชุจุนูู
ุ ูุฐุง ุงู center ู
ุนูุงู |
|
|
|
103 |
|
00:09:38,900 --> 00:09:43,860 |
|
ุงูููู
ุชูุฌู ุญูุงููู ุจุนุถูู
ุ ู
ุชูุณุทุงุชูู
ุ ู ุงู center |
|
|
|
104 |
|
00:09:43,860 --> 00:09:50,040 |
|
tendency is the extent to which the valuesุงูุนูู
ุง |
|
|
|
105 |
|
00:09:50,040 --> 00:09:53,360 |
|
ุฏู ุฃูู ูู ุนูุฏู ููู
of numerical variable group |
|
|
|
106 |
|
00:09:53,360 --> 00:09:57,540 |
|
around a typical or central value ูุนูู ุงูููู
|
|
|
|
107 |
|
00:09:57,540 --> 00:10:02,060 |
|
ุชุชู
ุฑูุฒ ูููุ ุงููู ูู ุงูู
ุชูุณุทุ ูุงุญุฏุฉ ู
ููุง ุงูู
ุชูุณุทุ |
|
|
|
108 |
|
00:10:02,060 --> 00:10:05,460 |
|
ููุงุฎุฏูุง ุจุนุฏ ุดููุฉ ูุฐุง ุงู central ู
ุนูุงูุง ุงูููู
ุชุชุฌู
ุน |
|
|
|
109 |
|
00:10:05,460 --> 00:10:09,000 |
|
ุฃู ุชุชู
ุฑูุฒ ุญูุงููู ููู
ุฉ ูู ุงููุตูุ ุจูุณู
ููุง ุงู central |
|
|
|
110 |
|
00:10:09,000 --> 00:10:14,200 |
|
value ุงู variation is the amount of dispersion |
|
|
|
111 |
|
00:10:14,200 --> 00:10:21,510 |
|
ุงูุชุดุงุฑ ุฃู ุชุดุชุชุ ู
ูุฏุงุฑ ุงูุชุดุชุชor scattering away ู
ุด |
|
|
|
112 |
|
00:10:21,510 --> 00:10:26,570 |
|
scattering away ุชูุชุดุฑ ุจุดูู ุจุนูุฏ ุนู ุงูู central |
|
|
|
113 |
|
00:10:26,570 --> 00:10:31,130 |
|
value ูุนูู ุงู variation ุจููุณ ูู
ูุฉ ุงูุชุดุชุช ูุนูู ุงุฐุง |
|
|
|
114 |
|
00:10:31,130 --> 00:10:36,450 |
|
ุงูุชุดุชุช ุตุบูุฑ ูุจูุฑ ุงู ู
ุชูุณุท that |
|
|
|
115 |
|
00:10:36,450 --> 00:10:40,730 |
|
the values of a numerical variable shown ุงุฐุง ุงู |
|
|
|
116 |
|
00:10:40,730 --> 00:10:44,570 |
|
variation ุจููุณ ู
ูุฏุงุฑ ุงูุชุดุชุช ููููู
ุนู ุงูู
ุชูุณุท |
|
|
|
117 |
|
00:10:44,570 --> 00:10:51,270 |
|
ุงูุญุณุงุจูุทุจ ุงู shape ุงูุดูู is the pattern of the |
|
|
|
118 |
|
00:10:51,270 --> 00:10:56,210 |
|
distribution pattern ู
ุนูุงู ูู
ุท ุงูุชูุฒูุน of values |
|
|
|
119 |
|
00:10:56,210 --> 00:10:59,550 |
|
from the lowest value to the largest ูุนูู ุดูู |
|
|
|
120 |
|
00:10:59,550 --> 00:11:03,730 |
|
ุงูุชูุฒูุน ู
ู ุฃุตุบุฑ ููู
ุฉ ูุฃูุจุฑ ููู
ุฉ ุจูุณู
ูู the shape |
|
|
|
121 |
|
00:11:03,730 --> 00:11:11,940 |
|
ุฅุฐุง ูู ุนูุฏ ุงู centralุงูููู
ู
ุฑูุฒูุฉ ุนู ููู
ุนุงู
ุฉ ุฃู |
|
|
|
122 |
|
00:11:11,940 --> 00:11:15,760 |
|
ุจุนุถ ุงูุฃุญูุงู ุงุณู
ูุง ููู
ุฉ ู
ุฑูุฒูุฉ ูุฐุง ุงุณู
ูุง ุชูุฏูุณูุฉ |
|
|
|
123 |
|
00:11:15,760 --> 00:11:23,180 |
|
ู
ุฑูุฒูุฉ ู
ุฎุชููุฉ ู
ูุฏุงุฑ ุงูุชุดุชุช ู
ู ุงูู
ุฑูุฒ ูู
ุชุดุชุช ุนูู |
|
|
|
124 |
|
00:11:23,180 --> 00:11:28,760 |
|
ุงูู
ุชูุณุท ุงูุญุณุงุจู ุงูุชุงูุช ุงูุดูู ูู ุทุฑููุฉ ุงูู
ุดุงุฑูุฉ ู
ู |
|
|
|
125 |
|
00:11:28,760 --> 00:11:35,180 |
|
ุฃุตุบุฑ ุฅูู ุฃูุจุฑ ู
ุง ูู ุฃุตุบุฑุุฃุตุบุฑ ุฃูุจุฑ ููู
ุฉ ูุฐูู ุงูู |
|
|
|
126 |
|
00:11:35,180 --> 00:11:39,260 |
|
three definitions ููุงุฎุฏ ูู ูุงุญุฏ ุจุงูุชูุตูู The first |
|
|
|
127 |
|
00:11:39,260 --> 00:11:44,880 |
|
one talks about measures of central tendency ูุงุฎุฏ |
|
|
|
128 |
|
00:11:44,880 --> 00:11:53,620 |
|
ู
ููุงุณ ููู
ุฃูู ู
ููุงุณ is called the mean ูููุง ุจูุนุฑู |
|
|
|
129 |
|
00:11:53,620 --> 00:11:53,960 |
|
ุงู mean |
|
|
|
130 |
|
00:11:56,810 --> 00:12:01,090 |
|
ุงูู mean ุนุจุงุฑุฉ ุนู ุฅูุดุ ู
ุชูุณุท ุญุณุงุจู it's called the |
|
|
|
131 |
|
00:12:01,090 --> 00:12:06,030 |
|
arithmetic mean ุฃู ูุณู ููุง ุจูุญูู often just called |
|
|
|
132 |
|
00:12:06,030 --> 00:12:10,690 |
|
the mean ุจุณ ุจุญูู ุนูู the mean it's |
|
|
|
133 |
|
00:12:10,690 --> 00:12:15,890 |
|
the most common measure of central tendency ุฅูุด |
|
|
|
134 |
|
00:12:15,890 --> 00:12:20,090 |
|
ูุนูู most common central of central tendencyุุฃุดูุฑ |
|
|
|
135 |
|
00:12:20,090 --> 00:12:24,810 |
|
ู
ููุงุณ ุฃู ุงูู
ููุงุณ ุงูุฃูุชุฑ ุดููุนุง ุฃู ุงูู
ููุงุณ ุงูุฃูุชุฑ |
|
|
|
136 |
|
00:12:24,810 --> 00:12:29,770 |
|
ุงุณุชุฎุฏุงู
ุง ุฅุฐุง ุฃูุชุฑ ู
ููุงุณ ุณูุณุชุฎุฏู
ู ุงููmean ุงููmean |
|
|
|
137 |
|
00:12:29,770 --> 00:12:34,310 |
|
ูู ุฃูุชุฑ ู
ููุงุณ ุนุงู
ููุชูุฏูุณูุฉ ุงูู
ุฑูุฒูุฉ ุงูุขู ุงูุณุคุงู |
|
|
|
138 |
|
00:12:34,310 --> 00:12:37,450 |
|
ูู ููู ูุณุชุฎุฏู
ุงูู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ |
|
|
|
139 |
|
00:12:37,450 --> 00:12:40,150 |
|
ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ |
|
|
|
140 |
|
00:12:40,150 --> 00:12:40,730 |
|
ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ |
|
|
|
141 |
|
00:12:40,730 --> 00:12:42,880 |
|
ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ููุงุณ ููู
ูุฃุญูุง ูุฃุฎุฐ |
|
|
|
142 |
|
00:12:42,880 --> 00:12:46,840 |
|
ู
ุฌู
ูุนุฉ ู
ุฎุชููุฉ ุฃู ู
ุฌู
ูุนุฉ ุตูุฑ ู ูุนูู ุฃููุง ูุฏููุง ู |
|
|
|
143 |
|
00:12:46,840 --> 00:12:52,640 |
|
ุทูุงุจ ู ู
ุซูุง ุฃู ู
ูุงุญุธุงุช ู ุฃู ู
ุฌู
ูุนุฉ ู ุงูู
ุฌู
ูุนุฉ |
|
|
|
144 |
|
00:12:52,640 --> 00:12:55,800 |
|
ู
ุฎุชููุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ |
|
|
|
145 |
|
00:12:55,800 --> 00:12:56,040 |
|
ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ |
|
|
|
146 |
|
00:12:56,040 --> 00:12:59,480 |
|
ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ |
|
|
|
147 |
|
00:12:59,480 --> 00:12:59,540 |
|
ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ |
|
|
|
148 |
|
00:12:59,540 --> 00:13:03,040 |
|
ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ ู
ูุตุฏุฉ |
|
|
|
149 |
|
00:13:03,040 --> 00:13:07,300 |
|
ู
ูุตุฏุฉ ู
|
|
|
|
150 |
|
00:13:10,740 --> 00:13:15,720 |
|
ู
ู
ูู ุฃุณู
ูู Y bar ููู ุบุงูุจุง ูุณุชุฎุฏู
X bar ุฅุฐุง X bar |
|
|
|
151 |
|
00:13:15,720 --> 00:13:20,640 |
|
it stands for the mean or the arithmetic mean X |
|
|
|
152 |
|
00:13:20,640 --> 00:13:26,700 |
|
bar equals .. we have a new symbol here this |
|
|
|
153 |
|
00:13:26,700 --> 00:13:32,700 |
|
called summation summation |
|
|
|
154 |
|
00:13:32,700 --> 00:13:38,200 |
|
ูุนูู ู
ุฌู
ูุนุฉ summation |
|
|
|
155 |
|
00:13:38,200 --> 00:13:40,140 |
|
of X I |
|
|
|
156 |
|
00:13:48,720 --> 00:13:53,940 |
|
ุงูููู
ุฉ ุฑูู
I ูุนูู ุงูุด ุงูููู
ุฉ ุฑูู
Iุ ุนูู ุณุจูู |
|
|
|
157 |
|
00:13:53,940 --> 00:14:03,180 |
|
ุงูู
ุซุงูุ ุฅุฐุง ูุงู ูุฏููุง ูุฐู ุงูููู
ุฉ 16 20 26 30 40 50 |
|
|
|
158 |
|
00:14:03,180 --> 00:14:11,020 |
|
ูู
ุง ุฅูู ุฐูู ุงูุขู ููู
ุฉ ุงูุฃููู 16ูุณุชุฎุฏู
X1 ูู 16 ูX1 |
|
|
|
159 |
|
00:14:11,020 --> 00:14:17,200 |
|
ูู ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ |
|
|
|
160 |
|
00:14:17,200 --> 00:14:18,300 |
|
ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู |
|
|
|
161 |
|
00:14:18,300 --> 00:14:18,760 |
|
ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ |
|
|
|
162 |
|
00:14:18,760 --> 00:14:19,440 |
|
ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู |
|
|
|
163 |
|
00:14:19,440 --> 00:14:20,200 |
|
ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ |
|
|
|
164 |
|
00:14:20,200 --> 00:14:21,880 |
|
ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู |
|
|
|
165 |
|
00:14:21,880 --> 00:14:22,720 |
|
ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ |
|
|
|
166 |
|
00:14:22,720 --> 00:14:34,500 |
|
ุฃูู ููู
ุฉ ุฃูู ููู
ุฉ ุฃูู |
|
|
|
167 |
|
00:14:34,500 --> 00:14:41,090 |
|
ููู
ุฉ ุฃูู ููู
ุฉ ุฃ6ุ 1,2,3 ุฅูู 6ุ ูุฐูู ูุญู ูุฏููุง 6 |
|
|
|
168 |
|
00:14:41,090 --> 00:14:46,590 |
|
ู
ูุงุญุธุงุชุ ูุฐูู ุตู
ู
ุงูู
ุฌู
ูุนุฉ ููู 6ุ ูุฐูู ุตู
ู
XIุ I |
|
|
|
169 |
|
00:14:46,590 --> 00:14:55,730 |
|
ูุชุฌู ู
ู 1 ุฅูู 6ุ ูุนูู X1 plus X2 ุฅูู XNุ ุชูู ู
ู Nุ |
|
|
|
170 |
|
00:14:55,730 --> 00:15:06,290 |
|
ู
ุงูู Nุ N ูู ุตู
ู
ุงูู
ุฌู
ูุนุฉSo the mean equals |
|
|
|
171 |
|
00:15:06,290 --> 00:15:13,290 |
|
summation of XI divided by N Now once again X bar |
|
|
|
172 |
|
00:15:13,290 --> 00:15:19,650 |
|
pronounced as X bar This symbol is called |
|
|
|
173 |
|
00:15:19,650 --> 00:15:25,930 |
|
summation ูุฐุง ู
ุณู
ู ุงูู
ุฌู
ูุน ุงู Xุงุช ูุฏูู ุนุจุงุฑุฉ ุนู ุงู |
|
|
|
174 |
|
00:15:25,930 --> 00:15:29,070 |
|
observed values ุงูููู
ุงูู
ุดุงูุฏุฉ ุงูุด ุงู observed |
|
|
|
175 |
|
00:15:29,070 --> 00:15:34,670 |
|
ุงููู ูู ู
ุฏุฑุณุฉ 16 ูููู observedobserved ูุนูู |
|
|
|
176 |
|
00:15:34,670 --> 00:15:40,230 |
|
ุงูู
ูุงุญุธุฉุ ุงูููู
ุงูู
ุดุงูุฏุฉ ุฃู ุงูู
ูุงุญุธุฉ ุฅู ูู
ุง ุนุดุฑููุ |
|
|
|
177 |
|
00:15:40,230 --> 00:15:42,150 |
|
ุณุชุฉ ูุนุดุฑููุ ุชูุงุชูู ูู
ุง ูุงูุ similar observed |
|
|
|
178 |
|
00:15:42,150 --> 00:15:45,670 |
|
values ุฅุฐุง |
|
|
|
179 |
|
00:15:45,670 --> 00:15:48,710 |
|
ู
ุนูุงู ูุฏู ุงูู the mean is the sum of the data ุฏู |
|
|
|
180 |
|
00:15:48,710 --> 00:15:52,290 |
|
ุจูู ูุชุจูู ู
ุด ูููุ ู
ุชูุณุท ุนุจุงุฑุฉ ุนู ุฅูุดุ ู
ุฌู
ูุน ุงูููู
|
|
|
|
181 |
|
00:15:52,290 --> 00:15:56,310 |
|
ุนูู ุฃุฏุชูุงุ ููู ุงู summation ุชุจุนูู
ุนูู ุฃุฏุชูู
|
|
|
|
182 |
|
00:16:01,670 --> 00:16:05,130 |
|
once again the most common measure of center |
|
|
|
183 |
|
00:16:05,130 --> 00:16:09,670 |
|
tendency is the mean definition of the mean some |
|
|
|
184 |
|
00:16:09,670 --> 00:16:16,170 |
|
values divided by the number of values ู
ุฌู
ูุญูู
ุนูู |
|
|
|
185 |
|
00:16:16,170 --> 00:16:20,350 |
|
ุนุฏุฏูู
number |
|
|
|
186 |
|
00:16:20,350 --> 00:16:23,470 |
|
three the mean is affected by extreme values or |
|
|
|
187 |
|
00:16:23,470 --> 00:16:27,890 |
|
outliersู
ุด ู
ุนูุงู affected by extreme values ุจุชุฃุซุฑ |
|
|
|
188 |
|
00:16:27,890 --> 00:16:33,850 |
|
extreme ู
ุนูุงูุงููู
ุดุงุฏุฉ ุงู ู
ุชุทุฑูุฉ ููู
ุดุงุฏุฉ ุงู |
|
|
|
189 |
|
00:16:33,850 --> 00:16:38,950 |
|
ู
ุชุทุฑูุฉ ู
ุนูุงูุง ุงู
ุง large ุงู small ุงุฐุง ุงู mean is |
|
|
|
190 |
|
00:16:38,950 --> 00:16:46,410 |
|
affected by extreme values now |
|
|
|
191 |
|
00:16:46,410 --> 00:16:51,110 |
|
let's see how can we compute the mean now suppose |
|
|
|
192 |
|
00:16:51,110 --> 00:17:00,350 |
|
we have this data set we have 11 12 13 14 and 15 |
|
|
|
193 |
|
00:17:06,180 --> 00:17:10,100 |
|
ุงูุงู ููู ูุญุตู ุนูู ู
ุฌู
ูุญ ุงูู X bar ูุถูู ููุท ูุฐู |
|
|
|
194 |
|
00:17:10,100 --> 00:17:14,580 |
|
ุงูููู
ุซู
|
|
|
|
195 |
|
00:17:14,580 --> 00:17:20,500 |
|
ููู ุจุงู N ู
ุฌู
ูุญูู
ูู
ุฌุณู
ุนูู ุนุฏุฏูู
11 13 ูุบุงูุฉ ู
ุง |
|
|
|
196 |
|
00:17:20,500 --> 00:17:26,640 |
|
ุฎูุต ูู ุฌู
ุนุชูู
ุจุทูุน 65 over 5 so 13 ูู
ุฌู
ูุนูู
ุนูู |
|
|
|
197 |
|
00:17:26,640 --> 00:17:34,160 |
|
ุนุฏุฏูู
13 ูู
ุฌู
ูุญูู
|
|
|
|
198 |
|
00:17:34,160 --> 00:17:43,610 |
|
ุนูู ุนุฏุฏูู
ุงูุฃู ููุชุฑุถ ุงูุทุงูุจ ุงููู ุฌุงุจ 15 ุดูููุงู ู |
|
|
|
199 |
|
00:17:43,610 --> 00:17:53,770 |
|
ูููู
ุจุฅุนุงุฏุฉ 15 value ู ูููู
ุจุฅุนุงุฏุฉ 20 now let's |
|
|
|
200 |
|
00:17:53,770 --> 00:17:58,410 |
|
calculate the new mean the new mean is just 11 12 |
|
|
|
201 |
|
00:17:58,410 --> 00:18:03,690 |
|
13 plus 20 over 5 this gives 14 |
|
|
|
202 |
|
00:18:07,100 --> 00:18:14,140 |
|
ุงูููู
ุฉ ูุงูุช 13 ูุนูุฏ ุชุบููุฑูุง ุฅูู 20 ุชุบูุฑ ุงูููู
ุฉ ุฅูู |
|
|
|
203 |
|
00:18:14,140 --> 00:18:19,280 |
|
14 ููุฐุง ูุนูู ุฃู ุงูููู
ุฉ ุชุชุฃุซุฑ ู
ู ูุฐุง ุงูููู
ุฉ ุงูู 20 |
|
|
|
204 |
|
00:18:19,280 --> 00:18:26,460 |
|
ุจุนูุฏุฉ ูููู ู
ู 15 ุชุนุชุจุฑ ููู
ุฉ ุฃูุชุฑูู
ุชูุงุญุธ ุฃู ุงูููู
ุฉ |
|
|
|
205 |
|
00:18:26,460 --> 00:18:31,960 |
|
ุชุชุบูุฑ ุตุญ ุชุชุบูุฑ ุจู
ูุฏุงุฑ ุจุณูุท ูููู ุชุชุบูุฑุฅุฐุง ุงูุณุจุจ |
|
|
|
206 |
|
00:18:31,960 --> 00:18:35,060 |
|
ุจุชุบูุฑ ูุฃู ุงููmean ุชุนูุด ุชุนุฑููู sum of values |
|
|
|
207 |
|
00:18:35,060 --> 00:18:39,440 |
|
divided by n ููู
ุง ุบูุฑูุง 15 ุจ20 ุฃููุฏ ุงููmean ููุชุบูุฑ |
|
|
|
208 |
|
00:18:39,440 --> 00:18:49,320 |
|
ุฅุฐุง ุงููmean is affected by extreme values one |
|
|
|
209 |
|
00:18:49,320 --> 00:18:55,900 |
|
more example suppose we have this data one up to |
|
|
|
210 |
|
00:18:55,900 --> 00:18:56,880 |
|
nine |
|
|
|
211 |
|
00:19:00,190 --> 00:19:07,470 |
|
ุงูุงู ู
ุงุฐุง ูุนูู ูุฐุง ุงูุจูุงูุงุชุ ุณู
ูุฉ ุชูุฑูุจุง ู
ู N ุฅุฐุง |
|
|
|
212 |
|
00:19:07,470 --> 00:19:11,650 |
|
ูู
ูุง ููู ูุฐู ุงูููู
ู
ู |
|
|
|
213 |
|
00:19:11,650 --> 00:19:16,850 |
|
ูุงุญุฏุฉ ุฅูู ุชุณุนุฉ ู
ุฌู
ูุญูู
ุฎู
ุณุฉ ูุงุฑุจุนููุ forty five |
|
|
|
214 |
|
00:19:16,850 --> 00:19:26,770 |
|
ุนุฏุฏูู
ุชุณุนุฉ ูููู
ูุง ุฎู
ุณุฉ ุงุฐุง ูู
ูุง ูุถูู ู
ุงุฆุฉ ุฅูู ูุฐู |
|
|
|
215 |
|
00:19:26,770 --> 00:19:27,050 |
|
ุงูููู
|
|
|
|
216 |
|
00:19:30,040 --> 00:19:34,200 |
|
100 ูู ููู
ุฉ ุฃูุชุฑุ ููู
ุฉ ูุจูุฑุฉุ outlierุ ููู
ุฉ ุดุงุฏุฉ |
|
|
|
217 |
|
00:19:34,200 --> 00:19:40,540 |
|
ูู ุถูุช ุงูู
ูุฉ ุนูููู
ุ ุงูู new mean ู
ุด ููุณุงููุ ุตุงุฑ |
|
|
|
218 |
|
00:19:40,540 --> 00:19:45,700 |
|
145ุ ุงูู sample size ูู 10 ูุฃููุง ูู
ูุง ุจุฅุถุงูุฉ ููู
ุฉ |
|
|
|
219 |
|
00:19:45,700 --> 00:19:51,180 |
|
ูุงุญุฏุฉุ 14.5 ูุญุธุฉุ |
|
|
|
220 |
|
00:19:51,180 --> 00:19:55,080 |
|
ุงูููู
ุฉ ุงููุฏูู
ุฉ ูุงูุช 5ุ ู ุงูุขู ุชุตุจุญ 14.5 ูุฐุง ูุนูู |
|
|
|
221 |
|
00:19:55,080 --> 00:20:00,300 |
|
ุฃู ุงูููู
ุฉ ุชุชุฃุซุฑ ู
ู ูุฐุง ุงูููู
ุฉ ุงูุฃูุชุฑูุงุถุญ ุฃูู ูุชุฃุซุฑ |
|
|
|
222 |
|
00:20:00,300 --> 00:20:04,820 |
|
ุงูููู
ุงููุจูุฑุฉ ุชูุงุญุธ ุงูููู
ุฉ ูุงูุช ุฎู
ุณุฉ ุตุงุฑุช ุฃุฑุจุนุชุงุดุฑ |
|
|
|
223 |
|
00:20:04,820 --> 00:20:08,480 |
|
ู ูุต ุชูุฑูุจุง ุชูุงุชุฉ ุถุนู ุนุดุงู ูุฏู ุจูุญูู the mean is |
|
|
|
224 |
|
00:20:08,480 --> 00:20:13,040 |
|
affected by extreme value ุฅุฐุง ุจุชุฃุซุฑ ุงูููู
ุงูุดุฏูุฉ |
|
|
|
225 |
|
00:20:13,040 --> 00:20:16,500 |
|
ูู |
|
|
|
226 |
|
00:20:16,500 --> 00:20:20,580 |
|
ูุนูู ูุฅู ุจูุฏุฑุด ุฃุฌูุจ ุนูููุง ุงูุณุคุงู ููุฎููู ูุจุนุฏู ูู
ุง |
|
|
|
227 |
|
00:20:20,580 --> 00:20:25,500 |
|
ูุงุฎุฏ ุญุงุฌุฉ ุงุณู
ูุง ุงู box plot ููู ู
ุจุฏุฃูุง ุงู twenty |
|
|
|
228 |
|
00:20:25,500 --> 00:20:31,620 |
|
ูุนูู ุงููู ุชูุงุญุธูุงูู 13 ู 14 ุงููุฑู ู
ุด ูุจูุฑ ุนุดุงู ูุฏู |
|
|
|
229 |
|
00:20:31,620 --> 00:20:37,040 |
|
ุงู 20 ู
ู
ูู ู
ุด extreme value ููู ูู
ุง ุญุงุทูุช ุงูู
ูุฉ ู
ู |
|
|
|
230 |
|
00:20:37,040 --> 00:20:42,360 |
|
5 ู 14 ู ูุต ูุงุถุญ ุงูู
ุณุงูุฉ ูุจูุฑุฉ ุจูููู
ููู ู
ูุฏุฑุด |
|
|
|
231 |
|
00:20:42,360 --> 00:20:46,840 |
|
ุงุญุฏุฏ ุงูุขู ููู ูุงุถุญ ุงูู ูู ุงู data ุงูุฃููู ุงู 20 is |
|
|
|
232 |
|
00:20:46,840 --> 00:20:50,160 |
|
not that extreme value ู
ุด ูุชูุฑุฉ ุจุนูุฏุฉ ุนุดุงู ูุฏู ุงู |
|
|
|
233 |
|
00:20:50,160 --> 00:20:56,740 |
|
mean ูุงู 13 ุตุงุฑ 14 ุงููุฑู ู
ุด ูุจูุฑุณุคุงูู ูููุณ ุจุณ ุฃุฌุงุจ |
|
|
|
234 |
|
00:20:56,740 --> 00:21:01,940 |
|
ุนููู ุฅู ุดุงุก ุงููู ุฎูุงู ุงูููุงุกุงุช ุงููู ุฌุงูุฉ the |
|
|
|
235 |
|
00:21:01,940 --> 00:21:07,740 |
|
next measure is called the median ุงูุด medianุ ูุณูุท |
|
|
|
236 |
|
00:21:07,740 --> 00:21:13,140 |
|
ุงู median ู
ุนูุงู ุงููุณูุท ุชุนุฑู |
|
|
|
237 |
|
00:21:13,140 --> 00:21:17,480 |
|
ุงููุณูุท the value in the middle ุงูููู
ุฉ ุงูู ู ุงููุตุจุณ |
|
|
|
238 |
|
00:21:17,480 --> 00:21:20,520 |
|
after we arrange the data from smallest to largest |
|
|
|
239 |
|
00:21:20,520 --> 00:21:23,500 |
|
ูู
ุง ุฃุฑุชุจ ุงูููุงู
ูุนูู ุฅุฐุง ูุงู ุนูุฏู ุดููุฉ ููู
|
|
|
|
240 |
|
00:21:23,500 --> 00:21:27,280 |
|
ุจุชุฑุชุจููู
ู
ู ุงูุตุบูุฑ ูููุจูุฑ ุฃู ุงูุนูุณ ุงูููู
ุงููู ูู |
|
|
|
241 |
|
00:21:27,280 --> 00:21:30,360 |
|
ุงููุณุท ูู ุนุจุงุฑุฉ ุนู ุงู media ู
ุนูุงู ููู
ุฉ ูู ุงููุณุท |
|
|
|
242 |
|
00:21:30,360 --> 00:21:33,140 |
|
ูุนูู ุงููู ุนูู ุงููู
ูู ุจุชุณุงูู ุงููู ุนูู ุงูุดู
ุงู ูุนูู |
|
|
|
243 |
|
00:21:33,140 --> 00:21:36,280 |
|
ุนุฏุฏ ุงูููุงู
ุงููู ุนูู ุงููุณุงุฑ ุจุชุณุงูู ุนุฏุฏ ุงูููุงู
ุงููู |
|
|
|
244 |
|
00:21:36,280 --> 00:21:40,460 |
|
ุนูู ุงููู
ูู ูุฐุง ู
ุนูุงู in an ordered array ูู ู
ุตูููุฉ |
|
|
|
245 |
|
00:21:40,460 --> 00:21:47,550 |
|
ู
ุฑุชุจุฉ the median is the middle numbermiddle number |
|
|
|
246 |
|
00:21:47,550 --> 00:21:52,490 |
|
ุงูููู
ุฉ ุฅูุดุ ูู ุงูู
ูุชุตู ู
ุนูู ุงูููู
ุฉ ูู ุงูู
ูุชุตู ูุนูู |
|
|
|
247 |
|
00:21:52,490 --> 00:21:59,010 |
|
ุฎู
ุณูู ูู ุงูู
ูุฉ above ู ุฎู
ุณูู ูู ุงูู
ูุฉ below ูุฃู |
|
|
|
248 |
|
00:21:59,010 --> 00:22:02,970 |
|
ููู ุงููุณุทุฉ ูู ุฃุตุงุจุนูุ ูู ุงููุต ู
ุธุจูุท ุฅูุด ู
ุนูู ูู |
|
|
|
249 |
|
00:22:02,970 --> 00:22:05,850 |
|
ุงููุตุ ูุนูู ุงุชููู ุนูู ุงูุดู
ุงู ู ุงุชููู ุนูู ุงููู
ูู ูู |
|
|
|
250 |
|
00:22:05,850 --> 00:22:07,490 |
|
ุงู middle and the value in the middle when we |
|
|
|
251 |
|
00:22:07,490 --> 00:22:10,350 |
|
arrange the data from smallest to largest ุฃู ู
ู |
|
|
|
252 |
|
00:22:10,350 --> 00:22:15,190 |
|
largest to smallestุฃุฑุจุนุฉ ูู ููุณ ุงูููุจ ุงูุตุบูุฑ ุฃููุง |
|
|
|
253 |
|
00:22:15,190 --> 00:22:21,090 |
|
ุจุชุญูู .. ูู ูุงู ุฃุนุฏุงุฏูู
ุฃุฑุจุนุฉ ูุฌูุจู ุฃุณูุฃ ุจุนุฏ ุงู |
|
|
|
254 |
|
00:22:21,090 --> 00:22:25,710 |
|
slide ูุฐู ุงููู ูู
ูุญูู ุนูู ุงูุดุบู ุงูุทุจูุนู ูู ูุงู |
|
|
|
255 |
|
00:22:25,710 --> 00:22:27,990 |
|
ูุฐุง ุดููุฉ ููู
ุงู medium ุงูููู
ุฉ ุงููู ูู ุงููุต ุจุนุฏ |
|
|
|
256 |
|
00:22:27,990 --> 00:22:32,810 |
|
ู
ุฑุชุจูู
ูุนูู ูู
ูููู
ุจุณูุก ุนูู ุดู
ุงููู
ุฎูููุง ูุดูููุง |
|
|
|
257 |
|
00:22:32,810 --> 00:22:35,730 |
|
ุจุนุฏ ุดููุฉ ู
ุง ูุณุชุนุฌูุด ูุนูู ุฌุงูุจ ุน ุณุคุงูู ุจุนุฏ ุดููุฉ |
|
|
|
258 |
|
00:22:35,730 --> 00:22:39,710 |
|
ุชุทูุน ุนูู ุงูููู
ูุฐูู ููุณ ุงูููู
ุงููู ูุงุชุช11 .. 12 .. |
|
|
|
259 |
|
00:22:39,710 --> 00:22:42,570 |
|
13 .. 14 .. 15 .. The median and the value in the |
|
|
|
260 |
|
00:22:42,570 --> 00:22:45,810 |
|
middle ู ูุฏูู ูุงุถุญ ุฃูู we arrange the data ู
ุฑุชุจูู |
|
|
|
261 |
|
00:22:45,810 --> 00:22:51,950 |
|
ุงู value in the middle ูู |
|
|
|
262 |
|
00:22:51,950 --> 00:22:56,610 |
|
ุงู median ูุญุธุฉ |
|
|
|
263 |
|
00:22:56,610 --> 00:23:01,880 |
|
13 ูุฐูุงูููู
ุฉ 13 ูู ุงูููู
ุฉ ุงูู
ุชูุณุทุฉ ูุฃู ููุงู |
|
|
|
264 |
|
00:23:01,880 --> 00:23:06,060 |
|
ุงุชุตุงููู ุชุญุช 13 ู ุงุชุตุงููู ููููุง ุงุชุตุงููู ุงูู ู |
|
|
|
265 |
|
00:23:06,060 --> 00:23:11,960 |
|
ุงุชุตุงููู ุงุนูู ูุฐูู 13 ูู ุงูููู
ุฉ ุงูู
ุชูุณุทุฉ ูุญุธุฉ |
|
|
|
266 |
|
00:23:11,960 --> 00:23:14,440 |
|
ุงูููู
ุฉ ุงูู
ุชูุณุทุฉ ูุงูุช ุชูุงุชูู ุจุฑุถู ุงูููู
ุฉ ุงูู
ุชูุณุทุฉ |
|
|
|
267 |
|
00:23:14,440 --> 00:23:15,400 |
|
ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ |
|
|
|
268 |
|
00:23:15,400 --> 00:23:18,240 |
|
ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ |
|
|
|
269 |
|
00:23:18,240 --> 00:23:18,700 |
|
ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ |
|
|
|
270 |
|
00:23:18,700 --> 00:23:23,340 |
|
ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ ุชูุงุชุฉ |
|
|
|
271 |
|
00:23:26,230 --> 00:23:28,710 |
|
ุงูููู
ุฉ ุงูู Famous ู
ุง ุงุชุฃุซุฑุด ุจุงูู Extreme Value |
|
|
|
272 |
|
00:23:28,710 --> 00:23:35,250 |
|
ู
ุธุจูุทุ ููุงู ูุงูุช 14 ุชุฃุซุฑ ุงูู Medianุ ุงูู Main ููู |
|
|
|
273 |
|
00:23:35,250 --> 00:23:37,970 |
|
ูุงุถุญ ุฅู ุงูู Median is not affected by largest |
|
|
|
274 |
|
00:23:37,970 --> 00:23:41,630 |
|
value ูุนูู ุงูุฎู
ุณุฉ ุนุดุฑ ูุนูู ูู ุฃูุง ุบู
ุถุช ุนูููุง ู |
|
|
|
275 |
|
00:23:41,630 --> 00:23:48,210 |
|
ุญุงุทูุช ุจุฏููุง 200 ุจุงูุชุงู
ุงู Median ูุฏูุ 13 ู
ุน ูุฏู ุงู |
|
|
|
276 |
|
00:23:48,210 --> 00:23:52,470 |
|
outliers ู
ุงูุงุด ููู
ุฉ ููุง ูุนูู ุงู Median is not |
|
|
|
277 |
|
00:23:52,470 --> 00:23:58,790 |
|
affectedby extreme outliers or outliers as the |
|
|
|
278 |
|
00:23:58,790 --> 00:24:04,910 |
|
mean ุฅุฐุง ุงูู median is less sensitive ุฃูู ุญุณุงุณูุฉ |
|
|
|
279 |
|
00:24:04,910 --> 00:24:09,710 |
|
than the median to extreme values ู
ุน ูุฏู outlier |
|
|
|
280 |
|
00:24:09,710 --> 00:24:15,810 |
|
affect the mean much more than the median ุงู |
|
|
|
281 |
|
00:24:15,810 --> 00:24:19,790 |
|
outlier ุจุชุฃุซุฑ ุนูู ุงู mean ุฃูุชุฑ ู
ููุง ุนูู ุงู median |
|
|
|
282 |
|
00:24:19,790 --> 00:24:24,770 |
|
ุฅุฐุง ุงู outliers ุจุชุฃุซุฑ ุนูู ุงู mean ุฃูุชุฑุนุงูู mean |
|
|
|
283 |
|
00:24:24,770 --> 00:24:31,790 |
|
ุงูู mean ุงููู ูุงุช ูุญุธุฉ ูุงู 13 ุตุงุฑ 14 ููุง |
|
|
|
284 |
|
00:24:31,790 --> 00:24:36,250 |
|
ุงู median ู
ุง ุฒุงู the same value ูุนูู ุจุนุฏ ูุฏู if we |
|
|
|
285 |
|
00:24:36,250 --> 00:24:39,830 |
|
replace the largest value by any other value |
|
|
|
286 |
|
00:24:39,830 --> 00:24:43,150 |
|
larger than that one then the median stay the same |
|
|
|
287 |
|
00:24:43,150 --> 00:24:47,870 |
|
ุจุชุฃุซุฑุด ููู ุงุชุฃุซุฑ ุชุฃุซุฑู ู
ุด ูุจูุฑ ุชุทูุน ุงู example |
|
|
|
288 |
|
00:24:47,870 --> 00:24:51,570 |
|
ุงููู ูุงุช ู
ู 1 ุฅูู 9 ุญูููุง ุงู mean was 5 |
|
|
|
289 |
|
00:24:53,820 --> 00:25:01,200 |
|
ููู
ูุง ุถููุง ุงูู
ูุฉ ุตุงุฑ ุงู mean 14.5 ุทุจ ุทูุน ุงู median |
|
|
|
290 |
|
00:25:01,200 --> 00:25:08,100 |
|
ูู ุงูุญููุฉ ุงูุฃููู ุงู ุงู median ู
ุงุชุฃุซุฑุด ูู ูู ุงููุต |
|
|
|
291 |
|
00:25:08,100 --> 00:25:14,560 |
|
ู
ุธุจูุท ููุงุถุญ ุงู mean ู ุงู median ู
ุง ููู
ุฒู ุจุนุถ ุฅูู |
|
|
|
292 |
|
00:25:14,560 --> 00:25:20,000 |
|
ูู
ุง ุถูุช ุงูู
ูุฉ ูุญุธุฉ ูู
ุง ุถูุช ุงูู
ูุฉ ุนูููู
|
|
|
|
293 |
|
00:25:23,150 --> 00:25:27,930 |
|
ุจุทูุช ุงูุฎู
ุณุฉ ุงู median ูุฃู |
|
|
|
294 |
|
00:25:27,930 --> 00:25:35,130 |
|
ุงูุฎู
ุณุฉ ุนูู ูุณุงุฑูุง four values ูุนูู ู
ูููุง ุฎู
ุณุฉ ูุฐุง |
|
|
|
295 |
|
00:25:35,130 --> 00:25:39,350 |
|
ูุงู ุชุณุงูู ุฒู
ููู ูููุด ู
ูุงูุ ุทุจ ูุงูุณุชุฉุ ุจุฑุถู ุงูุณุชุฉ |
|
|
|
296 |
|
00:25:39,350 --> 00:25:42,590 |
|
ู
ุด the median ูุฃูู ุนูู ูุณุงุฑูุง ุฎู
ุณุฉ ูุนูู ู
ูููุง |
|
|
|
297 |
|
00:25:42,590 --> 00:25:49,550 |
|
ุฃุฑุจุนุฉ ุฅุฐุง ุงู median ุนุจุงุฑุฉ ุนู ุฃูุดุ ุงู average ูู |
|
|
|
298 |
|
00:25:49,550 --> 00:25:54,890 |
|
middle pointsุงูู average ู ูุฏูู ุงุชููู ูุงู average |
|
|
|
299 |
|
00:25:54,890 --> 00:26:02,510 |
|
ุชู
ุญูู
ุฎู
ุณุฉ ุฒู ุณุชุฉ ุนูู ุงุชููู ุฎู
ุณุฉ ู ูุตู ุงุฐุง ูู
ุง |
|
|
|
300 |
|
00:26:02,510 --> 00:26:08,910 |
|
ุงููู ุนูุฏู ูุฏููุฉ ูู
ูุงุญุฏุฉ ุงุนุฏุฏูู
ุนุดุฑุฉ ู
ุด ููู ูู
ุง |
|
|
|
301 |
|
00:26:08,910 --> 00:26:15,510 |
|
ูููู even ูุนูู ุนุฏุฏ ุฒูุฌู ุจุชุงุฎุฏ ุงู average ูู two |
|
|
|
302 |
|
00:26:15,510 --> 00:26:19,470 |
|
middle points five plus six ุนูู ุงุชููู ูุญุธุฉ ุงู |
|
|
|
303 |
|
00:26:19,470 --> 00:26:20,690 |
|
median ูุงู ุฎู
ุณุฉ |
|
|
|
304 |
|
00:26:23,680 --> 00:26:28,400 |
|
ูู
ุง ุถูุช ุนููู ุงูู
ูุฉ ุตุงุฑ ุฌุฏููุด ุฎู
ุณุฉ ู ูุต ุงุชุบูุฑุช |
|
|
|
305 |
|
00:26:28,400 --> 00:26:34,460 |
|
ููู
ุชู ู
ู ุฎู
ุณุฉ ูุฎู
ุณุฉ ู ูุต ุงุฐุง ุงู mean ูุงู ุฎู
ุณุฉ ุตุงุฑุช |
|
|
|
306 |
|
00:26:34,460 --> 00:26:42,140 |
|
ุงุฑุจุนุฉ ุนุดุฑ ู ูุต ููู ุงู median ูุงูุช ุฎู
ุณุฉ ุตุงุฑุช ุฎู
ุณุฉ ู |
|
|
|
307 |
|
00:26:42,140 --> 00:26:46,340 |
|
ูุต ุงูู
ุนูู ูุฏู ู
ูู ุงู less sensitive ุงู mean ููุง ุงู |
|
|
|
308 |
|
00:26:46,340 --> 00:26:51,050 |
|
medianุงูู median ุฃูู ุญุณุงุณูุฉ ูู ุงุชุบูุฑ ู
ู ุฎู
ุณุฉ ุตุญูุญ |
|
|
|
309 |
|
00:26:51,050 --> 00:26:55,210 |
|
ูุฎู
ุณุฉ ู ูุต ุจุณ ุงูุชุบูุฑ ุชุจูู ุฃูู ู
ู ุชุบูุฑ ุงู mean ุงู |
|
|
|
310 |
|
00:26:55,210 --> 00:26:59,150 |
|
mean ู
ู ุฎู
ุณุฉ ูุงุฑุจุนุชุงุด ู ูุต ูุงุถุญ ุงู ุงู mean ุชุนุชุจุฑ |
|
|
|
311 |
|
00:26:59,150 --> 00:27:07,450 |
|
extreme value ุฅุฐุง in general the median is less |
|
|
|
312 |
|
00:27:07,450 --> 00:27:10,130 |
|
sensitive than the mean to extreme value ุฃูู |
|
|
|
313 |
|
00:27:10,130 --> 00:27:10,750 |
|
ุญุณุงุณูุฉ |
|
|
|
314 |
|
00:27:19,270 --> 00:27:24,230 |
|
ุงูุณlide ุงูุชุงูู ูุชููู
ุนู ู
ููุน ุงู medium ููู ูู
ูููุง |
|
|
|
315 |
|
00:27:24,230 --> 00:27:28,990 |
|
ุชุญุตูู ู
ููุน ุงู mediumุ ูุนูู ููู ู
ู
ูู ูุนู
ู ุงูู
ูุงู |
|
|
|
316 |
|
00:27:28,990 --> 00:27:36,890 |
|
ุชุจุน ุงู mediumุ ููุงู ุงุซููู ุญุงูุงุช ุฅุฐุง N ุบุฑูุจ N |
|
|
|
317 |
|
00:27:36,890 --> 00:27:43,450 |
|
ุฅูุด ุบุฑูุจุ ุบุฑูุจ ู
ุนูุงู ุนุฏุฏ ูุฑุฏู ูุฑุฏู ูุนูู ุชูุงุชุฉุ |
|
|
|
318 |
|
00:27:43,450 --> 00:27:48,040 |
|
ุฎู
ุณุฉุ ุณุจุนุฉุ ุชุณุนุฉ ู ููุฐุงูู ุงูุญุงูุฉ ุงูู location of |
|
|
|
319 |
|
00:27:48,040 --> 00:27:51,260 |
|
the median when the values are in numerical order |
|
|
|
320 |
|
00:27:51,260 --> 00:27:55,380 |
|
it means from smallest to largest the median |
|
|
|
321 |
|
00:27:55,380 --> 00:28:02,720 |
|
position is n plus one over two ูู ุงู position so |
|
|
|
322 |
|
00:28:02,720 --> 00:28:11,880 |
|
n plus one over two for this example n was five so |
|
|
|
323 |
|
00:28:11,880 --> 00:28:13,180 |
|
the position of the median |
|
|
|
324 |
|
00:28:16,120 --> 00:28:22,520 |
|
equal five plus one over two three ุฅุฐุง ุงูู
ูุงู ุชุจุน |
|
|
|
325 |
|
00:28:22,520 --> 00:28:27,440 |
|
ุฑูู
ุชูุงุชุฉ ุจุนุฏ ู
ุฑุชุจ ูุญุธุฉ ูุฐุง ุงู first position |
|
|
|
326 |
|
00:28:27,440 --> 00:28:33,720 |
|
ุงูุดูุฎ ูุฐุง ุฃูู ู
ูุงู ููุฐุง ุงูุชุงูู ููุฐุง ุงูุชุงูุช ููุฐุง |
|
|
|
327 |
|
00:28:33,720 --> 00:28:38,320 |
|
ุงูุฑุงุจุน ูุงูุฎุงู
ุณ ุงู medium is in the third position |
|
|
|
328 |
|
00:28:38,320 --> 00:28:41,200 |
|
ุงู third position ู
ููุน ุงูุชุงูุช ุงููู ูู ุงูุชูุงุชุฉ ุนุดุฑ |
|
|
|
329 |
|
00:28:41,200 --> 00:28:43,820 |
|
ูุญุธุฉ ุงูุชูุงุชุฉ is not the medium |
|
|
|
330 |
|
00:28:47,860 --> 00:28:52,540 |
|
is not the median ูุฐุง ุนุจุงุฑุฉ ุนู ุงูู
ูุถูุน ุชุจุนู |
|
|
|
331 |
|
00:28:52,540 --> 00:28:55,720 |
|
position of the median ุงูุด ุจูุทูุน ุฏุงูู
ุง ูุฑุฏ ุงู ูู |
|
|
|
332 |
|
00:28:55,720 --> 00:29:01,040 |
|
ูุงู ูุฐุง ุงูุณุช ุน ุงุชููู ูุฑุฏู ูู ุชุณุนุฉ ุชุณุนุฉ ุฒู ูุงุญุฏ |
|
|
|
333 |
|
00:29:01,040 --> 00:29:07,940 |
|
ุงุชููู ูุฑุฏู ููุฐุง ุทุจ ุงูู
ุซูุฉ ุนุฏุฏูู
ุฌุฏูุด ุชุณุนุฉ ุชุณุนุฉ ุฒู |
|
|
|
334 |
|
00:29:07,940 --> 00:29:12,630 |
|
ูุงุญุฏ ุงุชููู ุฎู
ุณุฉ ุงูู
ูุงู ุฑูู
ุฎู
ุณุฉููุง ุทูุน ุฎู
ุณุฉ |
|
|
|
335 |
|
00:29:12,630 --> 00:29:16,930 |
|
ุจุงูุตุฏูุฉ ู
ุด ุจุงูุถุฑูุฑุฉ ูุทูุน ุฎู
ุณุฉ ูู ุฎู
ุณุฉ ูุญุธุฉ ููุง ุทูุน |
|
|
|
336 |
|
00:29:16,930 --> 00:29:22,630 |
|
ุงูุชุงูุช ุชูุชุงุดุฑ ู
ุด ุจุงูุถุฑูุฑุฉ ุฅุฐุง ุงู medium position n |
|
|
|
337 |
|
00:29:22,630 --> 00:29:27,710 |
|
plus one over two if the number of values is odd |
|
|
|
338 |
|
00:29:27,710 --> 00:29:31,650 |
|
ุฅุฐุง ุนุฏุฏูู
ูุฑุฏู the median is the middle number |
|
|
|
339 |
|
00:29:31,650 --> 00:29:38,770 |
|
ุงููุจู ูู ุงููุต if the number is even ุฅุฐุง ูุงู ุฒูุฌู |
|
|
|
340 |
|
00:29:38,770 --> 00:29:42,950 |
|
ุฒู ููู ูู
ุง ุถููุง ุงูู
ูุฉ ุชูุฅุฐุง ูุงูุช ุงูู
ูุงูุฉ ู
ุฑุชุจุทุฉุ |
|
|
|
341 |
|
00:29:42,950 --> 00:29:45,970 |
|
ูุฅู ู
ูุงูุฉ ุงูู Median ูู ุนุงู
ูุฉ ุงูุงุซููู ุงูู
ูุงููู ุฃู |
|
|
|
342 |
|
00:29:45,970 --> 00:29:49,430 |
|
ุงูุงุซููู ุงูู
ูุงูููู ูุญุธุฉุ ููุง ุฃุฎุฐูุง ุนุงู
ูุฉ ุงูุงุซููู |
|
|
|
343 |
|
00:29:49,430 --> 00:29:55,850 |
|
ุงูู
ูุงูููู ูู 5 6 2 ูุงุจูู ูู ุฐูุฑ ุงู N ุจูุณ 1 2 ููุณ |
|
|
|
344 |
|
00:29:55,850 --> 00:30:01,450 |
|
ู
ูุงูุฉ ุงูู
ูุงูุฉ ููุท |
|
|
|
345 |
|
00:30:01,450 --> 00:30:06,570 |
|
ู
ูุงูุฉ ุงูู
ูุงูุฉ ูู ุญุงูุฉ ุนุงู
ูุฉ ุฅุฐุง ุงูู
ูุงู ุชุจุนู N ุจูุณ |
|
|
|
346 |
|
00:30:06,570 --> 00:30:09,450 |
|
1 2 ูุนูู ูู ูุงู ู
ุฎุชุงุฑ ู
ุฑุชุจุท ุญูููุง ุฅูุด ุงู position |
|
|
|
347 |
|
00:30:11,720 --> 00:30:16,720 |
|
ุชุจุนู ุงูู equation ุนุจุงุฑุฉ ุนู n plus one over two ูุฐุง |
|
|
|
348 |
|
00:30:16,720 --> 00:30:21,460 |
|
ูู ูุงูุช n is odd ุฅุฐุง ูุงู even ุจูุงุฎุฏ ุงูู middle ุงู |
|
|
|
349 |
|
00:30:21,460 --> 00:30:25,000 |
|
average ู two middle points ุทุจุนุง ุงู two middle |
|
|
|
350 |
|
00:30:25,000 --> 00:30:37,620 |
|
points ุงููู ุทูุน ุนูููู
ููุง suppose |
|
|
|
351 |
|
00:30:37,620 --> 00:30:42,820 |
|
we have this dataุงูุงู even ุงู ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
352 |
|
00:30:42,820 --> 00:30:44,880 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
353 |
|
00:30:44,880 --> 00:30:45,380 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
354 |
|
00:30:45,380 --> 00:30:51,420 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
355 |
|
00:30:51,420 --> 00:30:53,600 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
356 |
|
00:30:53,600 --> 00:30:53,700 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
357 |
|
00:30:53,700 --> 00:30:53,740 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
358 |
|
00:30:53,740 --> 00:30:54,860 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
359 |
|
00:30:54,860 --> 00:30:56,060 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
360 |
|
00:30:56,060 --> 00:30:59,120 |
|
ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
361 |
|
00:30:59,120 --> 00:31:05,200 |
|
ุบูุฑ ุบูุฑ ุบูุฑ |
|
|
|
362 |
|
00:31:05,200 --> 00:31:08,360 |
|
ุบูุฑ ุบ |
|
|
|
363 |
|
00:31:11,670 --> 00:31:20,710 |
|
ููู
ุฉ ุงูู x3 ุนุจุงุฑุฉ ุนู 9 ูุงูุชุงููุฉ ุนุจุงุฑุฉ ุนู 2 9 plus |
|
|
|
364 |
|
00:31:20,710 --> 00:31:28,530 |
|
12 ุนุจุงุฑุฉ ุนู 2 21 ูุนูู 10.5 ุฒู ุงู medium 10.5 ุทูุจ x |
|
|
|
365 |
|
00:31:28,530 --> 00:31:33,170 |
|
ุชูุงุชุฉ ูุฐู ุนุจุงุฑุฉ ุนู ู
ูุฌุฉ ุงูุชุงูุช x4 ู
ูุฌุฉ ุงูุฑุงุจุน ููู |
|
|
|
366 |
|
00:31:33,170 --> 00:31:41,950 |
|
ุทูุนูุง ุงูุชูุงุชุฉ ุงูุงู 6 ู
ุธุจูุท ูุงู ุน 2ุจุชูุนุฏ ุงูุณ ุณุชุฉ ุน |
|
|
|
367 |
|
00:31:41,950 --> 00:31:45,410 |
|
ุงุชููู ุงูุชูุงุชุฉ ู ุงููู ุจุนุฏู ุงููู ุจุนุฏู ุงููู ูู ุงูุณ |
|
|
|
368 |
|
00:31:45,410 --> 00:31:49,290 |
|
ุงุฑุจุนุฉ ุงููู ูู ุนุจุงุฑุฉ ุนู ู
ูู ุงูุณ ุงู ุน ุงุชููู ู ุฒุงุฆุฏ |
|
|
|
369 |
|
00:31:49,290 --> 00:31:54,150 |
|
ูุงุญุฏ ููู
ุง ุจููู ุนูุฏู even number ุงู position ุจููู |
|
|
|
370 |
|
00:31:54,150 --> 00:31:58,690 |
|
ุงู ุน ุงุชููู ู ุงููู ุจุนุฏู ุงู ุน ุงุชููู in the next |
|
|
|
371 |
|
00:31:58,690 --> 00:32:06,110 |
|
number ูุนูู ูู ู
ุซูุฉ ุฒู ููู ู
ู ูุงุญุฏ ูุบุงูุฉ ู
ูุฉ ูุนูู |
|
|
|
372 |
|
00:32:06,110 --> 00:32:09,610 |
|
ุงู ุจุงูุณุจุน ุนุดุฑ ู
ุด ูููุงูู median ุนุจุงุฑุฉ ุนู ุฅูุด ุงู |
|
|
|
373 |
|
00:32:09,610 --> 00:32:16,510 |
|
position ุชุจุนูู
N ุน 2 ู ุงููู ุจุนุฏู ู
ูู N ุน 2ุ ูุงู N |
|
|
|
374 |
|
00:32:16,510 --> 00:32:23,350 |
|
ุน 2 ุนุดุฑุฉ ุน ุงุชููู ุฎู
ุณุฉ ู ุงููู ุจุนุฏู ุงูุณุงุฏุณุฉ ุฎู
ุณุฉ ู |
|
|
|
375 |
|
00:32:23,350 --> 00:32:32,080 |
|
ุงูุณุงุฏุณุฉ ุฎูุงุตุ ุฅุฐุง the mean is the averageุงูู
ุนูู ูู |
|
|
|
376 |
|
00:32:32,080 --> 00:32:36,220 |
|
ุนุฏุฏ ุงูู
ูุงูู
ุงุช ุงูู
ูุงูู
ุฉ ุจุงูู N ุงูู
ูุงูู
ุฉ ูู ุงูููู
ุฉ |
|
|
|
377 |
|
00:32:36,220 --> 00:32:38,980 |
|
ูู ุงูู
ูุงูู
ุฉ ุจุนุฏ ุฃููุง ูู
ูุง ุจุชุฌููุฒ ุงูุจูุงูุงุช ู
ู ุฃูุชุฑ |
|
|
|
378 |
|
00:32:38,980 --> 00:32:44,920 |
|
ุฅูู ุฃูุชุฑ ุฃู ุฃูุชุฑ ุฅูู ุฃูุชุฑ ุฅุฐุง ูุงูุช N ุบูุฑ ู
ุญุฏูุฏุฉุ |
|
|
|
379 |
|
00:32:44,920 --> 00:32:48,980 |
|
ูู
ูุงูู
ุฉ ุงูู
ูุงูู
ุฉ ูู N plus one over two ุฅูุง ุฅุฐุง |
|
|
|
380 |
|
00:32:48,980 --> 00:32:52,080 |
|
ูุงูุช N ู
ุฑุชุจุทุฉุ ูู
ูุงูู
ุฉ ุงูู N ูู ุนุฏุฏ ุงูู
ูุงูู
ุฉ ุจูู |
|
|
|
381 |
|
00:32:52,080 --> 00:32:54,420 |
|
ุงูุงุซููู ู
ูุงูู
ุฉ ุงูู
ูุงูู
ุฉ ุจูู ุงูุงุซููู ู
ูุงูู
ุฉ |
|
|
|
382 |
|
00:32:54,420 --> 00:33:03,830 |
|
ุงูู
ูุงูู
ุฉ ูู ุงูู
ููุนxn2 ูุงูุชุงูู xn2 plus 1 ู
ุซููุง ู
ุฑุฉ |
|
|
|
383 |
|
00:33:03,830 --> 00:33:10,390 |
|
ุฃุฎุฑูุ ูุฅู ุงูู n ูู 20ุ ูู
ุงุฐุง |
|
|
|
384 |
|
00:33:10,390 --> 00:33:15,070 |
|
ูู ุงูู
ูุงูู
ุฉ ุงูู
ุชูุณุทุฉุ |
|
|
|
385 |
|
00:33:15,070 --> 00:33:22,730 |
|
ุงูู n 20 ูุนูู ุฃู ููุงู ู
ูุงูู
ุฉ ู
ุฎุชููุฉ ุงููู ูู ู
ููุ n |
|
|
|
386 |
|
00:33:22,730 --> 00:33:27,650 |
|
ุนูู 2 ู ุงููู ุจุนุฏูN ุน 2 ูุนูู ุนุดุฑุฉ ู ุงููู ุจุนุฏู 11 |
|
|
|
387 |
|
00:33:27,650 --> 00:33:31,990 |
|
ุฅุฐุง ุงู positions ูู median ุนุดุฑุฉ ู 11 ุจูุงุฎุฏ ุงู |
|
|
|
388 |
|
00:33:31,990 --> 00:33:35,650 |
|
average ุชุจุน ุงู values ู ุจุฌุณู
ุน 2 ู ููุช ุฌุณู
ุน 10 ู |
|
|
|
389 |
|
00:33:35,650 --> 00:33:42,010 |
|
11 ุน 2 ูุฏูู ุงูู
ูุงู ุงู location ุฎูุงุต ุทุจ ูู ูุงู N |
|
|
|
390 |
|
00:33:42,010 --> 00:33:52,650 |
|
ุจุชุณุงูู 21 N odd ุงูู
ูุงู ุงููู N ุฒู 1 ุน 2 ุงูู
ูุงู ุฑูู
|
|
|
|
391 |
|
00:33:52,650 --> 00:33:59,680 |
|
11 ูุฐุง ุฎูู ุจุงููis the position of the media ุงูู ุฏู |
|
|
|
392 |
|
00:33:59,680 --> 00:34:08,760 |
|
position ุงูู ุฏู ููู position ุงูู
ูุงู ุงูุตุจุงุต |
|
|
|
393 |
|
00:34:08,760 --> 00:34:12,020 |
|
ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู |
|
|
|
394 |
|
00:34:12,020 --> 00:34:14,060 |
|
ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู |
|
|
|
395 |
|
00:34:14,060 --> 00:34:20,940 |
|
ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู ุจูุจูู |
|
|
|
396 |
|
00:34:20,940 --> 00:34:23,860 |
|
ุจูุจ |
|
|
|
397 |
|
00:34:26,580 --> 00:34:32,760 |
|
ุฎู
ุณ ุฒู ูุงุญุฏ ุงุชููู ุชูุงุชุฉ ุชุฑุชูู ุงูููุงู
ุฏู ู
ุด ุตุญ ููุด |
|
|
|
398 |
|
00:34:32,760 --> 00:34:38,560 |
|
ูุงุฒู
ูุฑุชุจูู
ุงูุฃูู ุงุญูุง ุญูููุง ูุงู ุงูุชุนุฑูู ุฏู |
|
|
|
399 |
|
00:34:38,560 --> 00:34:44,260 |
|
ุงูุชุนุฑูู ุงู median in |
|
|
|
400 |
|
00:34:44,260 --> 00:34:49,080 |
|
an ordered array ูู ุงูู
ุตููุฉ ุงูู
ุฑุชุจุฉ the median is |
|
|
|
401 |
|
00:34:49,080 --> 00:34:52,360 |
|
the middle number ุฅุฐุง ุจูู ุฃูุง ูุฏู ูุงุฒู
ุด ุฃุนู
ู ูู |
|
|
|
402 |
|
00:34:52,360 --> 00:34:55,680 |
|
ุงูุฃูู ุฃุฑุชุจูู
ูู ุงูุฃูู ูู thirteen ุงูุฃูู |
|
|
|
403 |
|
00:35:03,200 --> 00:35:07,920 |
|
ุงูู
ูุงู ุงูุชุงูุช 16 ู
ุด 13 ููุงุฒู
ูู ุงูุฃูู we have to |
|
|
|
404 |
|
00:35:07,920 --> 00:35:11,100 |
|
arrange the data from smallest to largest ุงู |
|
|
|
405 |
|
00:35:11,100 --> 00:35:15,680 |
|
largest to smallest ูุญุธุฉ ูู ุฑุชุจุชู
ุจุงูุนูุณ ุนุดุฑูู |
|
|
|
406 |
|
00:35:15,680 --> 00:35:20,260 |
|
ุชุณุนุฉ ุนุดุฑ ุณุชุฉ ุนุดุฑ ุจุฑุถู the median and the value in |
|
|
|
407 |
|
00:35:20,260 --> 00:35:25,480 |
|
the middle we have the same value any question |
|
|
|
408 |
|
00:35:28,460 --> 00:35:34,720 |
|
ุงูููุงุฑ ูุชููู
ุนู ุซุงูุซ ู
ูุฌุงุฑ ููุชูุฏูุณูุฉ ุงูู
ุฑูุฒูุฉ ุญุชู |
|
|
|
409 |
|
00:35:34,720 --> 00:35:39,000 |
|
ุงูุขู ุชููู
ูุง ุนู ุงุชููู ู
ูุฌุงุฑูู ู
ูู ูู
ูุฏูุงู ุซุงูุซ |
|
|
|
410 |
|
00:35:39,000 --> 00:35:44,880 |
|
ู
ูุฌุงุฑ ูุณู
ู ุงู mood ุงู mood ูุนูู ู
ู ุฃููุ ูู ูู ูู
ุท |
|
|
|
411 |
|
00:35:44,880 --> 00:35:50,480 |
|
ููู ูู ูุญุธุฉ ู
ุนูุงู ู
ู ุฃููุ |
|
|
|
412 |
|
00:35:50,480 --> 00:35:54,940 |
|
ุฅุฐุง |
|
|
|
413 |
|
00:35:54,940 --> 00:35:55,960 |
|
ุญูููุง ุนูู ุงู mean |
|
|
|
414 |
|
00:35:59,170 --> 00:36:05,950 |
|
ุญูููุง ุนูู ุงูู median number three mode ุงูู
ููุงู |
|
|
|
415 |
|
00:36:05,950 --> 00:36:16,090 |
|
ุงูู
ููุงู ุชุนุฑููู value that you care most often ูุนูู |
|
|
|
416 |
|
00:36:16,090 --> 00:36:19,730 |
|
ุงูููู
ุฉ ุงููู ุจุชุชูุฑุฑ ุฃูุชุฑ ุดูุก ุงูููู
ุฉ ุงูุฃูุชุฑ ุชูุฑุงุฑ |
|
|
|
417 |
|
00:36:19,730 --> 00:36:27,210 |
|
not affected by extreme valuesุจุชุฃุซุฑุด ุฒู ุงู mean ู |
|
|
|
418 |
|
00:36:27,210 --> 00:36:30,470 |
|
ุงู median ุงู mean ุจุชุฃุซุฑ ุงู median ุจุชุฃุซุฑ ุจุณ ุฃูู |
|
|
|
419 |
|
00:36:30,470 --> 00:36:34,130 |
|
ุงูุชุฃุซูุฑ ู
ู ุงู median ุจุณ ูุฐุง not affected by |
|
|
|
420 |
|
00:36:34,130 --> 00:36:39,370 |
|
extreme values ุจุชุฃุซุฑุด ุงู mean ู ุงู median are used |
|
|
|
421 |
|
00:36:39,370 --> 00:36:43,190 |
|
only for numerical data ููุจูุงูุงุช ุงูุฑูู
ูุฉ ุฒู ุงู age |
|
|
|
422 |
|
00:36:43,190 --> 00:36:50,410 |
|
ุงู weight ุงู score ู ููุฐุง ุงู mode is used for |
|
|
|
423 |
|
00:36:50,410 --> 00:36:54,140 |
|
either numerical or categorical dataูุง ุจููุน |
|
|
|
424 |
|
00:36:54,140 --> 00:36:57,660 |
|
ุงุณุชุฎุฏู
ู ููุฑูู
ูุงููุตู ุฒู ุงูู gender ุงููู ุญูููุง ุนููู |
|
|
|
425 |
|
00:36:57,660 --> 00:37:02,520 |
|
ูู ุงูุฃูู ุฅุฐุง ุงูู
ูุฒุฉ ุงูุฌูุฏุฉ ููู
ูุฏ ุงูู ูุณุชุฎุฏู
.. not |
|
|
|
426 |
|
00:37:02,520 --> 00:37:06,160 |
|
affected by outliers or extreme values and can be |
|
|
|
427 |
|
00:37:06,160 --> 00:37:12,120 |
|
used for both numerical and categorical data there |
|
|
|
428 |
|
00:37:12,120 --> 00:37:16,440 |
|
are maybe sometimes there may be no .. no mood |
|
|
|
429 |
|
00:37:16,440 --> 00:37:20,260 |
|
ู
ู
ูู ู
ุงููุด mood ู
ุด ุฏู ู
ุด ุถุฑูุฑู ูููู ููู mood ุงู |
|
|
|
430 |
|
00:37:20,260 --> 00:37:25,290 |
|
ููู ูุฌุฏ it could be uniqueูุนูู ูุงุญุฏ ุฃู ูู ุจุนุถ |
|
|
|
431 |
|
00:37:25,290 --> 00:37:31,050 |
|
ุงูุฃุญูุงู ู
ู
ูู ูููู ุนูุฏู ุฃูุชุฑ ู
ู ู
ูุถูุน ุงุฐุง ุงูู
ูุถูุน |
|
|
|
432 |
|
00:37:31,050 --> 00:37:39,110 |
|
ุฃูุชุฑ ู
ุณุชู
ุฑ ุฃู ุฃูุชุฑ ุญุฏูุซ ููู
ุฉ ุงูุฃูุชุฑ ุธููุฑุง ุฃู ุฃูุชุฑ |
|
|
|
433 |
|
00:37:39,110 --> 00:37:43,310 |
|
ุชูุฑุงุฑุง ุฃู ุฃูุชุฑ ุญุฏูุซุง ูู ุทูุนุช ุน ุงู data ุงููู ููุง |
|
|
|
434 |
|
00:37:43,310 --> 00:37:47,450 |
|
ูุญู |
|
|
|
435 |
|
00:37:47,450 --> 00:37:53,140 |
|
ูุง ูุฏููุง ููุทุฉ ูุงุญุฏุฉ ุฃูุชุฑ ู
ุฑุฉ3 ู
ุฑุฉุ 5 ู
ุฑุฉ ู
ุฑุชููุ 8 |
|
|
|
436 |
|
00:37:53,140 --> 00:37:57,440 |
|
ู
ุฑุฉ ู
ุฑุชููุ 10 ู
ุฑุฉ ู
ุฑุชููุ 12 ู
ุฑุฉ ู
ุฑุชููุ 13 ู
ุฑุฉ |
|
|
|
437 |
|
00:37:57,440 --> 00:38:02,280 |
|
ู
ุฑุชูู ู14 ู
ุฑุฉ ู
ุฑุชูู ุงูุฃู ู
ุงูู ุฃูุชุฑ ููู
ุฉ ู
ุนููู
ุฉ |
|
|
|
438 |
|
00:38:02,280 --> 00:38:04,320 |
|
ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ |
|
|
|
439 |
|
00:38:04,320 --> 00:38:07,320 |
|
ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ |
|
|
|
440 |
|
00:38:07,320 --> 00:38:07,460 |
|
ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ |
|
|
|
441 |
|
00:38:07,460 --> 00:38:08,520 |
|
ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ |
|
|
|
442 |
|
00:38:08,520 --> 00:38:18,560 |
|
ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
ุฉ ู
ุนููู
|
|
|
|
443 |
|
00:38:20,330 --> 00:38:30,930 |
|
ู
ุซู ูุฐุง ุงูู
ุซุงู ููุง ูุญู ูุฏููุง 1 3 4 2 5 3 9 10 12 |
|
|
|
444 |
|
00:38:30,930 --> 00:38:39,470 |
|
12 13 ู 14 9 ู
ู
ูู 3 ู
ุฑุงุช ูุงูุญุจ 9 ููู ูุฐู ุงูุญุงูุฉ |
|
|
|
445 |
|
00:38:39,470 --> 00:38:48,350 |
|
ูููุงู ููุท ุญุจ ูุงุญุฏ ูุงูุญุจ 9 ููู
ุซุงู |
|
|
|
446 |
|
00:38:48,350 --> 00:38:57,790 |
|
ุงูุขุฎุฑูุญู ูุฏููุง 0ุ 1ุ 2ุ 3ุ 5 ู6 ูู ูุฐู ุงูุญุงูุฉ ูู |
|
|
|
447 |
|
00:38:57,790 --> 00:39:03,330 |
|
ููู
ุฉ ุชุญุฏุซ ู
ุฑุฉ ูุงุญุฏุฉ ูุฐุง ูุนูู ูู ูุฐู ุงูุญุงูุฉ ููุณ |
|
|
|
448 |
|
00:39:03,330 --> 00:39:12,370 |
|
ููุงู ู
ูุถูุน ุทุจ ูู ุฒูุฏุช ูุงุญุฏุฉ ููุง |
|
|
|
449 |
|
00:39:12,370 --> 00:39:15,550 |
|
ู
ุน |
|
|
|
450 |
|
00:39:15,550 --> 00:39:21,620 |
|
ูุฏู two modes ุงููู ูู ุงูุฎู
ุณุฉ ูุงูุชุณุนุฉfive ู nine ุทุจ |
|
|
|
451 |
|
00:39:21,620 --> 00:39:27,060 |
|
ูู ุฌูุช ููุง ุฒูุฏุช ูุงุญุฏุฉ ููุณุชุฉ ุจุตูุฑ ุงูุณุชุฉ ูู ุงู mode |
|
|
|
452 |
|
00:39:27,060 --> 00:39:33,740 |
|
ู
ุตุจูุฑุ ูุฃู ุงูุณุชุฉ ูู ุงูุฃูุชุฑ ุชูุฑุงุฑ ู
ุฑุชูู ุทุจ ูู ูุฑุฑุช |
|
|
|
453 |
|
00:39:33,740 --> 00:39:40,800 |
|
ููู ุตุงุฑ ุงูุฃุชููู ูุงูุชูุงุชุฉ ูุงูุณุชุฉ ูู
ุง ุงู modes ุฅุฐุง |
|
|
|
454 |
|
00:39:40,800 --> 00:39:45,280 |
|
ู
ู
ูู ูููู there is only one mode or sometimes the |
|
|
|
455 |
|
00:39:45,280 --> 00:39:48,340 |
|
mode does not exist ุฃู there are |
|
|
|
456 |
|
00:39:51,720 --> 00:39:57,480 |
|
ู
ู
ูู ูููู ู
ูุฌูุฏ ุงู ุบูุฑ ู
ูุฌูุฏ ู
ู
ูู |
|
|
|
457 |
|
00:39:57,480 --> 00:40:02,000 |
|
ูููู ู
ูุฌูุฏ ุงู ุบูุฑ ู
ูุฌูุฏ ู
ู
ูู ูููู ู
ูุฌูุฏ ุงู ุบูุฑ |
|
|
|
458 |
|
00:40:02,000 --> 00:40:06,440 |
|
ู
ูุฌูุฏ ุฏุนููุง |
|
|
|
459 |
|
00:40:06,440 --> 00:40:08,860 |
|
ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซุงู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง |
|
|
|
460 |
|
00:40:08,860 --> 00:40:09,360 |
|
ุงูู
ุซุงู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู |
|
|
|
461 |
|
00:40:09,360 --> 00:40:09,640 |
|
ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู |
|
|
|
462 |
|
00:40:09,640 --> 00:40:12,700 |
|
ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู |
|
|
|
463 |
|
00:40:12,700 --> 00:40:12,760 |
|
ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู |
|
|
|
464 |
|
00:40:12,760 --> 00:40:13,400 |
|
ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู |
|
|
|
465 |
|
00:40:13,400 --> 00:40:15,800 |
|
ุฏุนููุง ูููู ูุธุฑุฉ ุนูู ูุฐุง ุงูู
ุซู ุฏุนููุง ูููู ูุธุฑุฉ ุนูู |
|
|
|
466 |
|
00:40:15,800 --> 00:40:19,640 |
|
ูุฐุง ุงูู
ุซู ุฏุน |
|
|
|
467 |
|
00:40:19,720 --> 00:40:25,640 |
|
100 ู100 ูุฏุนููุง ูุฑู ููู ูุณุชุฎุฏู
ุงูุงูุชุฌุงุฑ ุงูุงูุชุฌุงุฑ |
|
|
|
468 |
|
00:40:25,640 --> 00:40:29,020 |
|
ุงูุงูุชุฌุงุฑ |
|
|
|
469 |
|
00:40:29,020 --> 00:40:35,600 |
|
ูู ุงุถุงูุฉ ูุฐู ุงูููู
ุซู
ููู ู
ู ุนุฏุฏ ุงูู
ูุฒู ุงูุงูุชุฌุงุฑ |
|
|
|
470 |
|
00:40:35,600 --> 00:40:44,320 |
|
ุชุจุนูู
ุนูู ุฃุฏุฏูู
ูุงุถุญ ู
ุฌู
ูุญูู
3 ู
ูููู ููู ู
ู 5 ูุนูู |
|
|
|
471 |
|
00:40:44,320 --> 00:40:51,320 |
|
600000 ุฅุฐุง ุงูุงูุชุฌุงุฑ ุชุจุนูู
600000ุงูู
ูุฏูุงู ูุฌุจ ุฃู |
|
|
|
472 |
|
00:40:51,320 --> 00:40:53,820 |
|
ูุฎููู ู
ู ุฃูุจุฑ ุฅูู ุฃูุจุฑ ุฃู ุฃูุจุฑ ุฅูู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
|
|
|
473 |
|
00:40:53,820 --> 00:40:56,540 |
|
ุฅูู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ |
|
|
|
474 |
|
00:40:56,540 --> 00:40:57,880 |
|
ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู |
|
|
|
475 |
|
00:40:57,880 --> 00:40:59,820 |
|
ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู |
|
|
|
476 |
|
00:40:59,820 --> 00:41:03,880 |
|
ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู |
|
|
|
477 |
|
00:41:03,880 --> 00:41:06,180 |
|
ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู |
|
|
|
478 |
|
00:41:06,180 --> 00:41:06,500 |
|
ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู |
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479 |
|
00:41:06,500 --> 00:41:16,000 |
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ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃูุจุฑ ู
ู ุฃู |
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|
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480 |
|
00:41:17,180 --> 00:41:20,660 |
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ุงูู mean ูุฃูู ุฃุฎุฐ ูู ุงูู values ูุชุฃุซุฑ ุจุงูู mean |
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|
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481 |
|
00:41:20,660 --> 00:41:24,700 |
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ุจุงูู extreme ุจุงูู 200 ุฃูู ู ุจุงูู 2 ู
ูููู ู ุชุฃุซุฑ |
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|
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482 |
|
00:41:24,700 --> 00:41:27,980 |
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ุจุงูู 100 ุฃูู ุงููู ุชุญุช ูุฃูู ุชุนุชุจุฑ 100 ุจุนูุฏุฉ ุนู ุงูู |
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483 |
|
00:41:27,980 --> 00:41:30,400 |
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2 ู
ูููู ู ุงูู 2 ู
ูููู ุจุนูุฏุฉ ุนู ุงููู ุจุงูุชุงูู ูู |
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|
484 |
|
00:41:30,400 --> 00:41:35,620 |
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ุชุฃุซุฑ ุจุงูู 2 ู
ูููู ุฃูุชุฑ ูุงูู median ุทูุน 300 ุฃูู ุทุจ |
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485 |
|
00:41:35,620 --> 00:41:39,160 |
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ุงูู
ูุถ is the most frequent value ุงูููู
ุฉ ุงูุฃูุซุฑ |
|
|
|
486 |
|
00:41:39,160 --> 00:41:43,880 |
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ุชูุฑุงุฑ ุฃูุชุฑ ูุงุญุฏุฉ ูุฑุฑุฉ 100 ุฃูู ูุญุธุฉ ุฃู ุงูุขู three |
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|
487 |
|
00:41:43,880 --> 00:41:47,760 |
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different measures for center tendencymain, |
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|
488 |
|
00:41:48,060 --> 00:41:54,300 |
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median, mode ุงูุงู ุงูุณุคุงู ูู ุงูู ุงูู
ููุงุณ ุงููู ูุงุฒู
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489 |
|
00:41:54,300 --> 00:41:59,320 |
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ุงุณุชุฎุฏู
ู ูู ูู ุงู main ู ูุง ุงู median ู ูุง ุงู mode |
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490 |
|
00:41:59,320 --> 00:42:03,800 |
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ุงู ุดุงุก ุงููู for next time ุงุฐุง ุงูู
ุฑุฉ ุงูุฌุงูุฉ ูุชููู
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491 |
|
00:42:03,800 --> 00:42:10,660 |
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ุนูู ู
ูู ุงูุถู ู
ููุงุณ ูู ูุฏูู ู ุจุนุฏูู ุจููู
ู ุฎูุงุต |
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492 |
|
00:42:10,660 --> 00:42:15,920 |
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ุนูุฏูุง two slides ุจุณ ู
ูุฌูุฏุงุช ู ุจุนุฏูู ูุจุฏุฃ ูู ุงู |
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|
493 |
|
00:42:15,920 --> 00:42:16,900 |
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measures of variation |
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|
494 |
|
00:42:20,030 --> 00:42:22,550 |
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Any questionุ ุงููู ุฃูุจุฑ |
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