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Question

If 9i=1(xi5)=9 and 9i=1(xi5)2=45, then the standard deviation of the 9 items x1,x2,,x9 is

A
3
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B
9
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C
4
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D
2
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Solution

The correct option is D 2
if you add or subtract the same amount from every term in the set, then the standard deviation doesn't change.

Let xi5=yi
Then, σ= y2i9(yi9)2
σ=459(99)2
σ=2

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