Question

comparing the medians of two data sets
robins scores: 99, 108, 102, 107, 119
evelyns scores: 125, 137, 138, 145, 145
find and compare the medians of the data sets. do the medians support your conclusion that robin is winning the game?

Explanation:

Step1: Arrange Robin's scores in ascending order

99, 102, 107, 108, 119
Since there are 5 (an odd - number) data points, the median is the middle value. So, Robin's median is 107.

Step2: Arrange Evelyn's scores in ascending order

125, 137, 138, 145, 145
Since there are 5 (an odd - number) data points, the median is the middle value. So, Evelyn's median is 138.

Step3: Compare the medians

107 < 138, so Evelyn's median score is higher than Robin's.

Answer:

Robin's median is 107 and Evelyn's median is 138. The medians do not support the conclusion that Robin is winning the game as Evelyn's median score is higher.