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तामिळनाडू बोर्ड ऑफ सेकेंडरी एज्युकेशनएस.एस.एल.सी. (इंग्रजी माध्यम) इयत्ता १०

The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is - Mathematics

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प्रश्न

The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is

पर्याय

  • 40000

  • 160900

  • 160000

  • 30000

MCQ

उत्तर

160900

Explanation;

Hint:

σ = 3

`(sumx^2)/"n" - ((sumx)/"n")^2` = 9

`(sumx^2)/100 - 40^2` = 9

`(sumx^2)/100` = 9 + 1600

`(sumx^2)/100` = 1609

`sumx^2` = 160900

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पाठ 8: Statistics and Probability - Exercise 8.5 [पृष्ठ ३३१]

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सामाचीर कलवी Mathematics [English] Class 10 SSLC TN Board
पाठ 8 Statistics and Probability
Exercise 8.5 | Q 4 | पृष्ठ ३३१

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