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A set of n values x(1),x(2),……,x(n) has ...

A set of n values `x_(1),x_(2),……,x_(n)` has standard deviation `sigma`. What is the standard deviation of n values `x_(1)+k, x_(2)+k….,x_(n)+k?`

A

`sigma`

B

`sigma+k`

C

`sigma-k`

D

`k sigma`

Text Solution

Verified by Experts

The correct Answer is:
A
We know that, if a number is added is values, then the standard deviation remains unaltered.
`therefore" Standard deviation of new values "=sigma`
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