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 choice is NOT true regarding the box plots comparing NFL quarterbacks’ interceptions in 1998 and 2008, let’s examine each statement one by one based on typical box plot information:
1. The highest number of interceptions thrown in 1998 is more than in 2008.
This could be true if the maximum value in the 1998 data is indeed higher.
2. The minimum number of interceptions of 1998 is equal to the 1st quartile of 2008.
This is a precise statement and would depend on the actual values in the box plots.
3. The median number of interceptions in 1998 is equal to the third quartile of 2008.
This is less likely because the median represents the middle value of the dataset, while the third quartile represents a higher percentile.
4. The range in the number of interceptions is greater in 1998 than 2008.
This can also be true depending on the values in the data.
Given the typical structure of datasets and box plots, the most likely choice that is NOT true is:
The median number of interceptions in 1998 is equal to the third quartile of 2008.
Short Explanation:
Typically, the median will not match the third quartile in well-distributed datasets as the third quartile represents a higher threshold (75th percentile). Therefore,