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26 January, 22:18

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

Mid-Term Final

96 100

95 85

92 85

90 83

87 83

86 82

82 81

81 78

80 78

78 78

73 75

Which data set has the smallest IQR?

A. They have the same IQR

B. Mid-term exams

C. Final exams

D. There is not enough information

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Answers (1)
  1. 27 January, 00:02
    0
    Mid-term : 73,78,80,81,82,86,87,90,92,95,96

    Q1 = 80

    Q2 (median) = 86

    Q3 = 92

    IQR = Q3 - Q1 = 92 - 80 = 12

    finals : 75,78,78,78,81,82,83,83,85,85,100

    Q1 = 78

    Q2 = 82

    Q3 = 85

    IQR = Q3 - Q1 = 85 - 78 = 7

    so the smallest IQR is the final exams
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