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Question

The Standard Deviation of a sample of size 10 is 11. If the value of each sampled item is reduced by 2, the new Standard deviation will be

A
9
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B
11
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C
13
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D
22
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Solution

The correct option is B 11
Given standard deviation =11
Sample size, n=10
Standard deviation (S.D)=(xi¯x)2n=11
Mean =¯x
New mean =¯x2 (as every item decreases by)
New standard deviation =(xi2)(¯x2)2n
=(xi2¯x+2)2n
=(xi¯x)2n
=11

1161189_789400_ans_9373057c1ff44d7eafb18a6b1e6c4f23.jpg

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