Question

Two groups went bowling. Here are the scores from each group.

Group A: 80, 100, 190, 110, 70, 90, 130

Group B: 50, 110, 100, 120, 107, 140, 150

70

80

190

50 60

90 100 110 120 130 140 150 160 170 180

score in points

1. Construct two box plots, one for the data in each group.

2. Which group shows greater variability? Explain how you know.

Answer 1

Group A has greater variability

Explanation:

Group A: 80, 100, 190, 110, 70, 90, 130

The variability of group A data :

Taking the range :

Maximum = 190 ; Minimum = 70

Range = Maximum - Minimum ; 190 - 70 = 120

Group B : 50, 110, 100, 120, 107, 140, 150

The variability of group B data :

Taking the range :

Maximum = 150 ; Minimum = 50

Range = Maximum - Minimum ; 150 - 50 = 100

Hence, Group A has greater variability