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

Question

The random error in the arithmetic mean of 100 observations is x ; then the random error in the arithmetic mean of 400 observations would be, 4 x, x 4, 2 x, x 2

MARKS App · Accepted Answer

Random error is inversely proportional to the number of observations ∴ Error ⁡ ∝ 1 o b s e r v a t i o n E 1 E 2 = O 2 O 1 E 2 = x 400 100 E 2 = x 4

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