A distribution has a standard deviation of 8 Find the zscor

A distribution has a standard deviation of = 8. Find the z-score for each of the following locations in the distribution.

(a) Above the mean by 4 points.

(b) Above the mean by 16 points.

(c) Below the mean by 8 points.

(d) Below the mean by 12 points.

Solution

a)

As

z = d/sigma

then

z = 4/8 = 0.5 [ANSWER]
*************

b)

As

z = d/sigma

then

z = 16/8 = 2 [ANSWER]

*************

c)

As

z = d/sigma

then

z = -8/8 = -1 [ANSWER]

**************

d)

As

z = d/sigma

then

z = -12/8 = 1.5 [ANSWER]