Question

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

Answer 1

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

Answer 2

C. Final Exams

Explanation:

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

Midterm = 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

Finals = 7

__________________________________________________________

12 > 7

Midterm > Finals