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10 February, 15:00

The table below shows data for a class's mid-term and final exams:

Mid-Term Final

100 98

100 95

100 93

95 91

95 88

92 82

92 78

88 78

85 65

75 60

Which data set has the largest IQR?

A. Mid-term exams

B. Final exams

C. They have the same IQR

D. There is not enough information

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Answers (1)
  1. 10 February, 15:21
    0
    Mid term:

    Q1 = (88 + 85) / 2 = 86.5

    Q2 = (92 + 95) / 2 = 93.5

    Q3 = 100

    IQR = Q3 - Q1 = 100 - 86.5 = 13.5

    final exams:

    Q1 = (65 + 78) / 2 = 71.5

    Q2 = (88 + 82) / 2 = 85

    Q3 = (95 + 93) / 2 = 94

    IQR = Q3 - Q1 = 94 - 71.5 = 22.5

    so the final exams has the largest IQR
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