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If the standard deviation of the numbers 2, 4, 5 & 6 is a constant a, then find the standard deviation of the numbers 4, 6, 7 & 8.

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If the standard deviation of the numbers 2, 4, 5 & 6 is a constant a, then find the standard deviation of the numbers 4, 6, 7 & 8.

(a) a + 2

(b) 2a

(c) 4a

(d) a

I have been asked this question in my homework.

This intriguing question originated from Statistics topic in division Statistics of Mathematics – Class 11

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Right option is (d) a

The explanation is: The standard deviation is independent of the change of origin. So, the standard deviation for the new set will remain the same.

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