For a population with mean of 100 and a standard deviation

For a population with mean of = 100 and a standard deviation of ? = 20, find the following z-scores corresponding to each of the following x-values:

Raw Score (X)

z-score

110

(a)

140

(b)

80

(c)

60

(d)

(a) =

(b) =

(c) =

(d) =

Raw Score (X)		z-score
110		(a)
140		(b)
80		(c)
60		(d)

For a population with mean of = 100 and a standard deviation of ? = 20, find the following z-scores corresponding to each of the following x-values: Raw Score (X) z-score 110 (a) 140 (b) 80 (c) 60 (d) (a) = (d) = (c) = (b) =

Solution

(a) z-score= (X-mean)/s =(110-100)/20 =0.5

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(b)(140-100)/20 = 2

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(c) (80-100)/20= -1

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(d)(60-100)/20 =-2