What is the interquartile range of this data set? 10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
![What is the interquartile range of this data set 10 11 12 15 17 19 22 24 29 33 38 class=](https://us-static.z-dn.net/files/d3d/869359c1abdb0d80efbda98c6918430b.png)
Answer:
17
Step-by-step explanation:
The interquartile range is the difference between the upper quartile and the lower quartile.
The first step is to find the median which is the middle value of the data set arranged in ascending order.
10, 11, 12, 15, 17, 19, 22, 24, 29, 33, 38
↑ ↑median ↑
The lower quartile is the middle value to the left of the median.
The upper quartile is the middle value to the right of the median.
The lower quartile = 12 and the upper quartile = 29
Interquartile range = 29 - 12 = 17