Question

Ethan and three friends kept track of their average points scored in each basketball game over the season. The results are shown below. Which player is the most consistent?

Basketball Scoring Statistics
Player
Mean Score
Interquartile Range
Adam
10.9
1.4
Ben
16.7
1.8
Ethan
14.2
2.2
Joaquin
12.9
0.9

Adam, because his mean score is the lowest
Ben, because his mean score is the highest
Ethan, because his interquartile range is the highest
Joaquin, because his interquartile range is the lowest

Answer 1

To determine which player is the most consistent, we should look at the interquartile range (IQR). The IQR measures the variability of the scores, with a lower IQR indicating less variability (more consistency) in the player's scores.

Here are the interquartile ranges for each player:
- Adam: 1.4
- Ben: 1.8
- Ethan: 2.2
- Joaquin: 0.9

Joaquin has the lowest interquartile range at 0.9, which indicates he is the most consistent player.

So, the correct choice is:
**Joaquin, because his interquartile range is the lowest.**