Summary Statistics for a Quantitative Variable

AP Statistics· difficulty 3/5

Joe took two different tests with the class statistics shown.

Joe's Test Performance Test Mean SD Joe Test 1 80 5 88 Test 2 90 4 96

On which test did Joe perform relatively better?

  • A

    Test 1 (z = 1.6 vs 1.5)

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  • B

    Test 2 because higher raw score

  • C

    Test 2 (z = 1.6 vs 1.5)

  • D

    Same performance — both above mean

Explanation

Test 1 z = (88−80)/5 = 1.6. Test 2 z = (96−90)/4 = 1.5. Joe did relatively better on Test 1.

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