An exam has a mean of 75 and a standard deviation of 8. What exam score is 1.5 standard deviations above the mean?
A) 83.5
B) 76.5
C) 87
D) 91

Question

Quizplus · Accepted Answer

To find a score that is 1.5 standard deviations above the mean, we use the formula:

X = μ + (z * σ)

where:
X = the score we want to find
μ = the mean = 75
z = the number of standard deviations from the mean = 1.5
σ = the standard deviation = 8

Plug in the values and solve for X:

X = 75 + (1.5 * 8)
X = 75 + 12
X = 87

Therefore, the answer is choice C.

An Exam Has a Mean of 75 and a Standard