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?

AMid-term exams
BFinal exams
CThey have the same IQR
DThere is not enough information

Verified Answer :

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

Answer: final exam has highest IQR

Step-by-step explanation:

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