Question

In a normal distribution, a data value located 1.5 standard deviations below the mean has Standard Score: z =

In a normal distribution, a data value located 1.7 standard deviations above the mean has Standard Score: z =

In a normal distribution, the mean has Standard Score: z =

Answer 1

Explanation:

let m = mean

s= standard deviation

to find zscore = (value-m)/s

1.)

((m-1.5s)-m)/s = -1.5

in fact, if it's n standard deviations ABOVE the mean, your zscore is n

if it's n standard deviations BELOW the mean, your zscore is -n

2.)

((m+1.7s)-m)/s= 1.7

3.)

(m-m)/s= 0