Question

Based on the box-and-whisker plots shown below, which of the following statements is true?

77
75
+
76
+
78
79
80
81
82
83
Group A -
Group B
The median of Group A is less than that of Group B.
The range of Group A is less than that of Group B.
The lower quartile of youp A is less than that of Group B.

Answer 1

The median of Group A is less than that of Group B.

Explanation:

Assume that your box-and-whisker plots look like those below.

1. Compare medians

Group A = 79

Group B = 79.5

The median of Group A is less than that of B

Correct.

2. Compare ranges

Group A: 82 - 76 = 6

Group B: 81 - 76 = 5

The range of Group A is greater than that of Group B.

Option B is wrong.

3. Compare Q1s

Group A: 78

Group B: 77

Q1 for Group A is less than that for Group B.

Option C is wrong.