Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 2/5

A test has μ = 75, σ = 10. A student scored 60.

Test Score Distribution x = 60 μ = 75 σ = 10

What is this student's z-score?

  • A

    −15

  • B

    −0.15

  • C

    −1.5

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  • D

    1.5

Explanation

z = (60 − 75)/10 = −15/10 = −1.5. The score is 1.5 SDs below the mean.

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