Question

Variance of the random variable x is 1/16 ; its standard deviation is
(a) 1/256
(b) 1/32
(c) 1/64
(d) 1/4

Answer 1

we know the relation between variance and standard deviation.
$\bold{\text{standard deviation}=\sqrt{variance}}$

Here given,
Variance = 1/16
so, standard deviation = $\bold{\sqrt{\frac{1}{16}}}$
Standard deviation = 1/4

Hence, option (d) is correct.