Question

Robin’s scores: 99, 108, 102, 107, 119
Evelyn’s 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?

Answer 1

To find the medians of Robin's and Evelyn's scores, we first need to arrange both sets of scores in ascending order.

**Robin's scores:**
99, 102, 107, 108, 119

The median is the middle number in a sorted list. Since Robin has 5 scores (an odd number), the median is the third score.

- Sorted scores: 99, 102, **107**, 108, 119
- Median of Robin's scores: **107**

**Evelyn's scores:**
125, 137, 138, 145, 145

Similarly, Evelyn has 5 scores (also an odd number), so the median is also the third score.

- Sorted scores: 125, 137, **138**, 145, 145
- Median of Evelyn's scores: **138**

Now we compare the medians:

- Median of Robin's scores: **107**
- Median of Evelyn's scores: **138**

Based on the medians, Evelyn's score median (138) is significantly higher than Robin's median (107). This suggests that Evelyn is performing better overall in this game.

Thus, the medians do not support the conclusion that Robin is winning the game; instead, they indicate that Evelyn is winning.