Question

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

Answer 1

Answer: final exam has highest IQR

Explanation:

Comment if you need explanation

Answer 2

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