Question

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.

Explanation:

Step1: Analyze the box - plots for maximum values

The maximum value for Mike is greater than the maximum value for Jeff, so Mike threw more touchdowns in one season.

Step2: Check for outliers in Jeff's data

There is no indication that 8 is an outlier for Jeff's data set from the box - plot.

Step3: Identify Mike's median

The median for Mike's data set is at the line inside the box, which is 20, not 22.

Step4: Analyze the inter - quartile range (IQR) for variation

The length of Mike's box and whiskers is greater, so Mike had a greater variation of the total number of touchdowns each season.

Step5: Compare medians

Jeff's median is greater than Mike's median, so the differences in the medians and positions of the boxes show that Jeff generally threw more touchdowns than Mike.

Answer:

Mike threw more touchdowns in one season.
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.