Question

What is the five-number summary of the data set?

Options:
1) 36, 15, 9, 22, 36
2) 14, 42, 45, 51, 29
3) 18, 20, 36, 14, 42
4) 9, 22, 36, 14, 42
5) 15, 9, 22, 36, 14

Answer 1

The five-number summary of the data set 9, 14, 22, 36, 36 is 9, 11.5, 22, 36, 36.

Step-by-step explanation:

The five-number summary of a data set includes the minimum value, the first quartile, the median, the third quartile, and the maximum value. To find the five-number summary, we need to arrange the data set in ascending order:

1. Arrange the data set in ascending order: 9, 14, 22, 36, 36
2. The minimum value is 9
3. The first quartile (Q1) is the median of the lower half of the data set, which is 9 + (14 - 9)/2 = 11.5
4. The median is the middle value of the data set, which is 22
5. The third quartile (Q3) is the median of the upper half of the data set, which is 36 + (36 - 36)/2 = 36
6. The maximum value is 36

Therefore, the five-number summary of the data set is 9, 11.5, 22, 36, 36.