Tamil Nadu Board of Secondary EducationSSLC (English Medium) Class 10th
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The mean of 100 observations is 40 and their standard deviation is 3. The sum of squares of all deviations is - Mathematics

MCQ

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

Options

  • 40000

  • 160900

  • 160000

  • 30000

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Solution

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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APPEARS IN

Samacheer Kalvi Mathematics Class 10 SSLC Tamil Nadu State Board
Chapter 8 Statistics and Probability
Exercise 8.5 | Q 4 | Page 331
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