Question

The box plots compare the weekly earnings of two groups of salespeople from different clothing stores. Find and compare the IQRs of the box plots. Group A IQR = $ . Group B IQR = $ . Group A's IQR is Group B's IQR, so the salaries in the middle 50% for Group A are spread out as those for Group B.

Answer 1

Group A, IQR = 700

GROUP B, IQR =.450

Group A's IQR is greater

The values in the middle 50%.of Group A are more spread out Than those of Group B.

Explanation:

Data for.each group :

The IQR = Q3 - Q1

From the boxplot :

Group A:

Q1 = 1100 ; Q3 = 1800

IQR = 1800 - 1100 = 700

Group B:

Q1 = 1400; Q3 = 1850

IQR = 1850 - 1400 = 450

Greater IQR = Group A

The values in the middle 50%.of Group A are more spread out Than those of Group B.