IXL | Compare populations using box plots

At the Brookside Basketball Tournament, Kylie asked a sample of 10 Division A players and 10 Division B players how many points they average per game. She recorded her results in these box plots.

Average points

Division A

Division B

Complete the table.

	Median	Interquartile range
Division A		8
Division B	6

ref_doc_title.

Learn with an example

question

Deion surveyed a sample of 20 classmates about their TV viewing habits, asking them to track the number of hours they spent watching movies and sports for a week. The results are recorded in the box plots.

Time (hours)

Movies

Sports

Complete the table.

	Median	Interquartile range
Movies
Sports	6	8

key idea

A box plot shows the minimum, lower quartile, median, upper quartile, and maximum of a data set.

The median is the middle value when a data set is ordered from least to greatest. It describes the center of the data set.

The interquartile range (IQR) is the range of the middle 50% of the data set, which is the difference between the upper quartile and the lower quartile. It describes the variability of the data set.

solution

First, find the median number of hours spent watching movies for the sample of classmates.

Time (hours)

Movies

Sports

The median number of hours spent watching movies for the sample is 6

hours.

Next, find the interquartile range of the number of hours spent watching movies for the sample of classmates. Subtract the lower quartile from the upper quartile.

Time (hours)

Movies

Sports

The interquartile range for the number of hours spent watching movies for the sample is

–

Finally, use these values to complete the table.

	Median	Interquartile range
Movies	6	4
Sports	6	8

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? This can help:

GG.13Box plots

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!