In the data set below, what is the interquartile range?
11 13 23 26 46
The interquartile range is the difference between the first quartile (Q1) and the third quartile (Q3).
To find the interquartile range:
Arrange the data in ascending order: 11, 13, 23, 26, 46
Q1 = 13 (note that there is an even number of data points, so the first quartile is the average of the middle two values)
Q3 = 26
Therefore, the interquartile range is:
Q3 - Q1 = 26 - 13 = 13
So, the interquartile range is 13.