Answered

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?

\begin{tabular}{|c|c|c|}
\hline \multicolumn{3}{|c|}{Basketball Scoring Statistics} \\
\hline Player & Mean Score & Interquartile Range \\
\hline Adam & 10.9 & 1.4 \\
\hline Ben & 16.7 & 1.8 \\
\hline Ethan & 14.2 & 2.2 \\
\hline Joaquin & 12.9 & 0.9 \\
\hline
\end{tabular}

A. Adam, because his mean score is the lowest.
B. Ben, because his mean score is the highest.
C. Ethan, because his interquartile range is the highest.
D. Joaquin, because his interquartile range is the lowest.



Answer :

GinnyAnswer
Let's determine which player is the most consistent by analyzing the given statistics. To assess consistency in scoring, we should focus on the interquartile range (IQR) for each player. The interquartile range measures the spread of the middle 50% of the scores, and a smaller interquartile range indicates greater consistency.

Here are the statistics for each player:

- Adam:
- Mean Score: 10.9
- Interquartile Range: 1.4

- Ben:
- Mean Score: 16.7
- Interquartile Range: 1.8

- Ethan:
- Mean Score: 14.2
- Interquartile Range: 2.2

- Joaquin:
- Mean Score: 12.9
- Interquartile Range: 0.9

To identify the most consistent player, we need to find the player with the lowest interquartile range. Let's compare the interquartile ranges:

- Adam's IQR: 1.4
- Ben's IQR: 1.8
- Ethan's IQR: 2.2
- Joaquin's IQR: 0.9

Among these values, the lowest interquartile range is 0.9, which belongs to Joaquin. Therefore, Joaquin is the most consistent player because his interquartile range is the lowest.

Thus, the correct answer is:
Joaquin, because his interquartile range is the lowest.

Other Questions