If the random error in the average of 100 observations is x . Then, the random error in the average of 400 observations will be

Question

If the random error in the average of 100 observations is x . Then, the random error in the average of 400 observations will be (A) 4x (B) (1/4)x (C) 2x (D) (x/2)

Tardigrade Admin · Accepted Answer

When the number of observations is made n times, the random error reduces to (1/n) times.

Q. If the random error in the average of $100$ observations is $x$ . Then, the random error in the average of $400$ observations will be

$4 x$

$\frac{1}{4} x$

$2 x$

$\frac{x}{2}$

When the number of observations is
made $n$ times, the random error
reduces to $\frac{1}{n}$ times.

Q. If the random error in the average of 100 observations is x . Then, the random error in the average of 400 observations will be

4x

41​x

2x

2x​