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If variance of 1, 3, 5, 7, …….. 215 is A...

If variance of `1, 3, 5, 7, …….. 215` is `A^(2)` then standard deviation of `1, 5, 9, 13, …..429` in terms of `A` is :

A

`2A`

B

`2A^(2)`

C

`|A|`

D

`2|A|`

Text Solution

Verified by Experts

The correct Answer is:
D
If variance of……….
If we use change to origin and scale `u_(1) = 2x_(1)-1` then we
get `1, 5, 9, 13`, ……… from `1, 3, 5, 7` ………..
Hence required `S.D. = 2|A|`
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