Find the zscore corresponding to a score of X 60 for each o

Find the z-score corresponding to a score of X = 60 for each of the following distributions.

(a) = 50 and = 10

(b) = 50 and = 5

(c) = 70 and = 20

(d) = 70 and = 5

Solution

a)

As

z = (x-u)/sigma

then

z = (60-50)/10 = 1 [ANSWER]

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b)

As

z = (x-u)/sigma

then

z = (60-50)/5 = 2 [ANSWER]

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c)

As

z = (x-u)/sigma

then

z = (60-70)/20 = -0.5 [ANSWER]

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d)

As

z = (x-u)/sigma

then

z = (60-70)/5 = -2 [ANSWER]