For an exam with a mean of M = 74 and a standard deviation of s = 8, Mary has a score of X = 80, Bob’s score corresponds to z = +1.50, and Sue’s score is located above the mean by 10 points. If the students are placed in order from smallest score to largest score, what is the correct order?

Given Information:

Mean = μ = 74

Standard deviation = σ = 8

Mary's score = x = 80

Bob’s score = z = +1.50

Sue’s score = above the mean by 10 points

Required Information:

If the students are placed in order from smallest score to largest score, what is the correct order?

Mary = 80, Sue = 84, Bob = 86

Explanation:

Bob's score:

z = (x - μ)/σ

x - μ = zσ

x = zσ + μ

x = 1.50*8 + 74

x = 12 + 74

x = 86

Sue's score:

x = u + 10

x = 74 + 10

x = 84

Mary's score:

x = 80

From the smallest score to largest score

Mary = 80, Sue = 84, Bob = 86

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