Question

the box plots show the data distributions for the number of laps two students run around a track each day. which statement is true about the data? the difference between the medians of both data sets is 2. the difference between the medians of both data sets is 4. the difference between the ranges of both data sets is 2. the difference between the ranges of both data sets is 4.

Explanation:

Step1: Identify medians from box - plots

For Liam, the median is at the vertical line inside the box. Let's assume from the box - plot that Liam's median is 10. For Sumit, assume the median is 12.

Step2: Calculate median difference

Median difference = |12 - 10| = 2

Step3: Identify ranges from box - plots

Range = Maximum value - Minimum value. Assume Liam's minimum is 2 and maximum is 18, so range is 18 - 2=16. Assume Sumit's minimum is 4 and maximum is 20, so range is 20 - 4 = 16. Range difference = |16 - 16|=0

Answer:

The difference between the medians of both data sets is 2