Question

The mean and standard deviation of x is 40 and 4 respectively the mean and standard deviation of [(x - 40)/4]    is _______

(a) 1, 0

(b) 1, 1 

(c) 0, 1

(d) 0, – 1

Answer 1

The correct option (c) 0, 1   

Explanation:

 x = 40

Sx = 4

Let y = [(x – 40)/4] = (x/4) – 10

∴ Sy = (Sx/4)

Sy = (4/4) = 1 

∴ Standard deviation of [(x – 40)/4] = 1 and mean = 0.