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QUESTION:

The National Collegiate Athletic Association (NCAA) is divided into three divisions (Division I, II, and III), based roughly on school size. Each division is made up of several conferences for regional league play.

The side-by-side boxplots below compare the distributions of football game wins of teams in two Division I conferences: the Big 10 and SEC (Southeastern Conference) during the 2014 season. (For example, note that the median of the SEC distribution is 8. This means that 50% of the teams in the SEC division had more than eight wins and 50% of the teams had less than eight wins).

Two horizontal boxplots for football wins 2014 data.

X axis is labeled "Football Wins 2014." Big 10 Boxplot: box spans 5 to 9.5; lower line extends from 3 to 5; upper line extends from 9.5 to 14. SEC boxplot: box spans 7 to 10; lower line extends from 3 to 7; upper line extends from 10 to 12.

Which conference has a greater percentage of teams with fewer than six wins?

ANSWER:

The Big 10


Good Job! Indeed, 6 is larger than Q1 (but smaller than the median) in the Big 10 distribution, which tells us that between 25% and 50% of the teams in the Big 10 conference had less than six wins. On the other hand, 6 is less than Q1 of the SEC distribution, which tells us that less than 25% of the SEC teams had less than six wins.

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