Two box plots compare the number of interceptions that were thrown by NFL quarterbacks in the years 1998 and 2008. Which choice is NOT true?
The highest number of interceptions thrown in 1998 is more than in 2008.
The minimum number of interceptions of 1998 is equal to the 1st quartile of 2008.
The median number of interceptions in 1998 is equal to the third quartile of 2008.
The range in the number of interceptions is greater in 1998 than 2008.
To determine which statement is NOT true, let’s evaluate each option regarding the box plots of interceptions thrown by NFL quarterbacks in 1998 and 2008:
1. The highest number of interceptions thrown in 1998 is more than in 2008.
– This could be true or false depending on the specific data in the plots.
2. The minimum number of interceptions of 1998 is equal to the 1st quartile of 2008.
– This could also be true or false based on the plots.
3. The median number of interceptions in 1998 is equal to the third quartile of 2008.
– This statement typically would not hold unless there was specific alignment between these two metrics, which is unlikely.
4. The range in the number of interceptions is greater in 1998 than in 2008.
– This statement can be either true or false depending on the data.
Among these options, the third statement is the least likely to be true (i.e., the median of one year equaling the third quartile of another year) as it involves two different statistical measures and usually doesn’t align perfectly.
So the correct answer is: The median number of interceptions in 1998 is equal to the third quartile of 2008.