Question

if the random error in the Arithmetic mean of 15 observations is alpha then the random error an error in the Arithmetic mean of 1:50 observations would be ​

Answer 1

Answer:

$e_{2}$= $\frac{\alpha }{30}$

Explanation :

$n_{1} e_{1} = n_{2} e_{2} \\\\n = no.\ of \ observation \\\\e = error$

putting the values ,

15 $\alpha$ = 150 $e_{2}$

so

$e_{2}$= $\frac{\alpha }{30}$

Answer 2

Explanation:

if observation is increased by 'n' times then random error decreases 1/n times

So, the ans is a/30