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?
Answer:
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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