4
practice testMultiple Choice

Practice Test

Question 4 • Mathematics III

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z -score of negative 2 point 5 Which statement must be true?

Answer
A
Thanh’s grade is 2 point 5 points below the mean of the test grades.
B
Thanh’s grade is 2 point 5 standard deviations above the mean of the test grades.
C
Thanh’s grade is 2 point 5 standard deviations below the mean of the test grades.
D
Thanh’s grade is 2 point 5 points above the mean of the test grades.

Explanation

A z-score tells how many standard deviations a value is from the mean. Since Thanh’s z-score is −2.5, his grade is 2.5 standard deviations below the mean. It does not mean his grade is exactly 2.5 points below the mean, because a standard deviation is not necessarily one point.

AI-written and checked against the verified answer.

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