The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.

Exercises · Q12

Q. The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.

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Mean = 10, S.D. = 3, so C.V. = 30%.

Given: $n = 10$ , $\sum X = 100$ , $\sum X^2 = 1090$ .

Step 1 — Mean.

\bar{X} = \dfrac{\sum X}{n} = \dfrac{100}{10} = 10

Step 2 — Standard deviation (direct method). …

Q.The sum of 10 values is 100 and the sum of their squares is 1090. Find out the coefficient of variation.