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JEE MATHEMATICS MCQ: STATISTICS

1 Hard

1 of 1

Application +4 | -1

If

\sum\limits_{{i=1}}^5\left(x_i-10\right)=5

and

\sum\limits_{{i=1}}^5\left(x_i-10\right)^2=25

then standard deviation of observations

2 x_1+7

,

2 x_2+7,2 x_3+7,2 x_4+7

and

2 x_5+7

is equal to:

View answer and explanation

Correct option: C

4

Option C (4) is correct because the standard deviation of

2x_i + 7

is twice the standard deviation of

x_i

, and the standard deviation is not affected by the change of origin.

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