Question

5. Which of the following is the five-number summary for this data set?

20, 23, 25, 27, 21, 21, 30

Answer 1

Minimum: 20

Q1: 21

Median: 23

Q3: 27

Maximum: 30

Explanation:

To find the five-number summary for a data set, you need to determine the minimum value, the first quartile (Q1), the median (Q2 or the second quartile), the third quartile (Q3), and the maximum value.

First, let's sort the data set in ascending order:

20, 21, 21, 23, 25, 27, 30

The five-number summary is as follows:

Minimum: 20

Q1 (First Quartile): 21

Median (Q2 or Second Quartile): 23

Q3 (Third Quartile): 27

Maximum: 30

So, the five-number summary for the given data set is:

Minimum: 20

Q1: 21

Median: 23

Q3: 27

Maximum: 30