Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 4/5

Maria scored 87 on the math test and 91 on the verbal test. The class statistics for each test are shown.

Two Tests Summary Test Mean SD Math 75 8 Verbal 82 5 Maria: Math = 87, Verbal = 91

On which test did Maria score relatively higher compared to her classmates?

  • A

    Verbal, because z = 1.8 vs Math z = 1.5

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  • B

    Same — both 1 SD above mean

  • C

    Math, because raw difference is larger

  • D

    Math, because she earned a higher z-score

Explanation

Math z = (87−75)/8 = 1.5. Verbal z = (91−82)/5 = 1.8. The verbal score is relatively higher.

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