Question

What is the first quartile, Qı, of the data set?

{23, 28, 28, 36, 56, 60, 61, 65, 70}
Enter your answer in the box.
Q1
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Answer 1

28

Explanation:

First step is to find the median of the data set.

The median is the middle value of the data arranged in ascending order. If there is not an exact value then it the average of the values either side of the middle.

23 28 28 36 56 60 61 65 70

↑ median

The first quartile
`Q_(1)` is the middle value on the left side of the median.

23 28 28 36

↑

`Q_(1)` =
`(28+28)/(2)` =
`(56)/(2)` = 28

Answer 2

28

Explanation:

take the median of the data set which is 56 and then take the median of the numbers before 56

28 is the median Q1 is 28