What is the interquartile range of the following data set? 13, 17, 18, 15, 12, 21, 10

6

Step-by-step explanation:

The interquartile range is a measure of the difference between the upper quartile and the lower quartile.

The first step is to organise the data in ascending order, that is

10, 12, 13, 15, 17, 18, 21

Next find the median which is the middle value of the data.

10, 12, 13, 15, 17, 18, 21

↑ ← the median = 15

Now find the upper and lower quartiles which are the middle values of the data to the right and left of the median.

10, 12, 13, 15, 17, 18, 21

↑ ↑

upper quartile = 18 and lower quartile = 12

interquartile range = 18 - 12 = 6