Historically, scores on the semester exam for a particular college professor are normally distributed with a mean of 74 and a standard deviation of 8.5. A student scores 92 on the exam. How many standard deviations from the mean is this score?
A) 18
B) 8.5
C) 1.13
D) 2.12
Answers
Given : Historically, scores on the semester exam for a particular college professor are normally distributed
Mean = 74
standard deviation of 8.5
A student scores 92 on the exam.
To Find : How many standard deviations from the mean is this score?
A) 18
B) 8.5
C) 1.13
D) 2.12
Solution:
Mean = 74
standard deviation = 8.5
Score = 92
Let say n standard deviations away from the mean is score
n ( SD) = | Value - Mean |
=> n ( 8.5) = | 92 - 74 |
=> n(8.5) = 18
=> n = 18/8.5
=> n = 2.1176
=> n = 2.12
2.12 standard deviations from the mean is score
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