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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 had eight or more wins and 50% of the teams in the SEC had eight or fewer wins:
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 more variability in the number of wins?
ANSWER:
The Big 10
Good Job. Indeed, the Big 10 conference has a larger spread both in terms of the a larger IQR (roughly 4.5 vs. 3) and in terms of the full range (roughly 11 vs 9).