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The random error in the arithmetic mean ...

The random error in the arithmetic mean of 100 observations is x, then random error in the arithmetic mean of 400 observations would be

A

4x

B

`(1)/(4)x`

C

2x

D

`(1)/(2)x`

Text Solution

Verified by Experts

The correct Answer is:
B

Since error is measured for 400 observations instead of 100 observations. So error will reduce by `1//4` factor.
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