A set of final examination grades in an introductory statistics

Katherine Walls

Katherine Walls

Answered question

2022-01-16

An initial statistics course's final exam grades have a mean of 73 and a standard deviation of 8, and they are normally distributed. A score of 84 represents how many standard deviations from the mean?

Answer & Explanation

Bob Huerta

Bob Huerta

Beginner2022-01-16Added 41 answers

A score of 84 is 1.375 standard deviations above the mean.
Explanation:
Just use the formula z=xμσ to get z=84738=118=1.375. That's how many standard deviations 84 is above the mean of 73.

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