Question

4 here are two box plots: (box plot a and box plot b are shown with number lines from 95 to 115) a. which box plot has a greater median? b. which box plot has a greater measure of variability?

Explanation:

Step1: Identify median position

Median is the line inside the box. Box plot A's median line is at ~107; Box plot B's is at ~105.

Step2: Compare medians

107 > 105, so Box plot A has greater median.

Step3: Check variability (range)

Range = max - min. Box plot A: 115 - 95 = 20; Box plot B: 115 - 95 = 20. But interquartile range (IQR = Q3 - Q1): Box plot A's box is narrower than Box plot B's. So Box plot B has greater IQR (variability).

Answer:

a. Box plot A
b. Box plot B