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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 division had more than eight wins and 50% of the teams had less than eight 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 a greater percentage of teams with eight or more wins?
The SECGood Job. Indeed, the SEC has a median of eight wins, which means 50% of the teams had eight or more wins. The Big 10 conference has a median of 7 wins, which means that 50% of the teams had seven or more wins, and so less than 50% of the teams had eight or more wins....
Read MoreThe 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?
The Big 10Good 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)....
Read MoreWhat percentage of the graduates will have a debt greater than $25,000?25%- Good job! Since $25,000 is the third quartile (Q3), one-quarter of the graduates will have a debt greater than this amount.50% of the debts owed are smaller than what amount?$20,600- Good job! 50% of the debts are ...
Read MoreThe boxplot below displays the student debts (in $) of a large number of students graduating from four-year colleges:
Note: The numbers on the x-axis correspond to the minimum, Q1, M, Q3, and the Maximum.
Within which interval would you expect to find the greatest number of student debts?
$17,000-$21,000Good job!. Note that 17,000 is below Q1, and 21,000 is the median M, so we expect more than 25% of the student debts to fall in this interval. None of the other intervals have more than 25% of the students' debts; one interval has exactly 25%, and the other two less than 25%....
Read MoreThe boxplot below displays the student debts (in $) of a large number of students graduating from four-year colleges:
Note: The numbers on the x-axis correspond to the minimum, Q1, M, Q3, and the Maximum.
Within which interval would you expect to find the greatest number of student debts?
All are equal.Good job! Indeed, 25% of the observations fall between the minimum and Q1 (first answer), 25% of the observations fall between Q1 and M (second answer), 25% of the observations fall between M and Q3 (third answer), and 25% of the observations between Q3 and the maximum (fourth answer)....
Read MoreA)14B) 75%c) 10-15...
Read MoreChoose the correct label for the element (in red) on the boxplot represented by the question mark:
IQR...
Read MoreRange...
Read MoreChoose the correct label for the point on the boxplot represented by the question mark:
Q1...
Read MoreChoose the correct label for the point on the boxplot represented by the question mark:
min...
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