If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Lesson 7: Box plots

# Worked example: Creating a box plot (even number of data points)

Learn how to create a box plot. The data set used in this example has 14 data points.

## Want to join the conversation?

• can i get some help what does IQR mean
• The interquartile range. Where you subtract Quartile 3 and Quartile 1.
• How do I get a profile photo?
• Hang on. This is an off-topic question, so if it doesn't have anything to do with the subject (box + whisker plots), then you can just search for it in the search box at the top of the page. You get a profile photo by tapping the picture on the left of your bio on the "edit profile" section.
• Shouldn't the upper quartile be 7.5, the average of 7 and 8? Considering the upper quartile consists of six numbers?
• sleep ideas or can you give me some
• I'm confused. In the last worked example when we had an odd number of data, we were taught to eliminate the mean when calculating the upper and lower means. Does that rule not apply with even numbers of data? That was not clear.
• We want the median to divide the data set into two equal halves.
However, with an odd number of data points the two halves can't be equal in size which is why we remove the median before we calculate the upper and lower quartiles.
With an even number of data points we don't have this problem and don't have to remove the median.
• Bro dis hard
• Good luck
P.S Just trying to help
• The question says to exclude the median when calculating the quartiles. In this video they have included median.
Can you explain what does exclude means here ?
what I think is, Q3 will be 7.5 and Q1 will be 2.
• Could you sort the numbers from greatest to least? Or would that not work in this case?
(1 vote)
• Yes you could perform calculations that way but it is not conventional.