Question

Data Set: 5, 8, 10, 10, 15, 18, 23. What is the upper quartile limit (Q3) of this data set? *

Answer 1

Q₃ = 18

Explanation:

The first step is to find the median

The median is the middle value of the data in ascending order.

5, 8, 10, 10, 15, 18, 23

↑ middle value

median = 10

The upper quartile Q₃ is the middle value of the data to the right of the median, that is

15, 18, 23

↑ middle value

Thus Q₃ = 18

Answer 2

15, 18, and 23