the two box plots represent the total number of touchdowns two quarterbacks threw in 10 seasons of play…

the two box plots represent the total number of touchdowns two quarterbacks threw in 10 seasons of play. compare the box plots. which statements are true? check all that apply. mike threw more touchdowns in one season. the value 8 is an outlier for jeffs data set. the median for mikes data set is 22 touchdowns. mike had a greater variation of the total number of touchdowns each season. the differences in the medians and positions of the boxes show that jeff generally threw more touchdowns than mike.

the two box plots represent the total number of touchdowns two quarterbacks threw in 10 seasons of play. compare the box plots. which statements are true? check all that apply. mike threw more touchdowns in one season. the value 8 is an outlier for jeffs data set. the median for mikes data set is 22 touchdowns. mike had a greater variation of the total number of touchdowns each season. the differences in the medians and positions of the boxes show that jeff generally threw more touchdowns than mike.

Answer

Answer:

  • Mike threw more touchdowns in one season.
  • The value 8 is an outlier for Jeff's data set.

Explanation:

Step1: Analyze individual - season performance

By looking at the box - plots, the maximum value for Mike is higher than Jeff's, so Mike threw more touchdowns in one season.

Step2: Identify outlier

For Jeff's data set, 8 is far from the main body of the data (the box and whiskers), so it is an outlier.

Step3: Check median claim

The median for Mike's data set is not 22 (it is around 18), so this statement is false.

Step4: Analyze variation

Jeff has a larger inter - quartile range (IQR) and overall range, so Jeff had a greater variation, not Mike.

Step5: Compare medians

The median of Jeff's data set is higher than Mike's, so Jeff generally threw more touchdowns than Mike. But the statement "The differences in the medians and positions of the boxes show that Jeff generally threw more touchdowns than Mike" is false as it mis - states the player who generally threw more touchdowns.