Quizzol

QUESTION:

In the previous activity, we compared the distributions of the number of wins of teams in two Division I conferences. When comparing distributions using side-by-side boxplots, you can also compare more than two groups. The following image compares the distributions of the number of football game wins of teams in five Division I conferences in the 2014 season.

Five horizontal boxplots for football wins 2014 data.

X axis is labeled "Football Wins 2014." ACC Boxplot: box spans ~6 to ~9; lower line extends from 3 to ~6; uppline extends from ~9 to ~13. Big 10 Boxplot: box spans 5 to 9.5; lower line extends from 3 to 5; upper line extends from 9.5 to 14. Pac 12 Boxplot: box spans ~5 to 10; lower line extends from 2 to ~5; uppline extends from 10 to ~13. SEC boxplot: box spans 7 to 10; lower line extends from 3 to 7; upper line extends from 10 to 12. Con USA Boxplot: box spans 4 to 8; lower line extends from 3 to 4; upper line extends from 8 to ~13.

Which of the five conferences had the larger percentage of teams with less than six wins?

All five conference had the same percentage.

ACC

Big 10

Pac 12

SEC

Con USA

ANSWER:

Con USA

Good job! Indeed 6 is the median of the Con USA distribution, which tells is that exactly 50% of the teams in this conference had less than six wins. On the other hand, in the ACC, Big 10, and Pac 12 conferences between 25% and 50% of the teams had less than six wins and in the SEC, less than 25% of the teams had less than six wins.

Posted by Cleveland on September 18, 2024