Question

Consider the following dataset: 22, 29, 31, 30, 22, 24, 18, 20, 25. What is the third quartile’s value? Round to the nearest tenth if necessary.(1 point)

Skip to navigation

Answer 1

wrong

Answer 2

To find the third quartile (Q3) of the dataset, first arrange the numbers in ascending order: 18, 20, 22, 22, 24, 25, 29, 30, 31.

Since there are 9 numbers in the dataset, the position of Q3 is calculated as follows:
Position of Q3 = 3/4 * (n+1) = 3/4 * (9+1) = 3/4 * 10 = 7.5

The third quartile is the average of the 7th and 8th numbers in the ordered set (25 and 29):
Q3 = (25 + 29) / 2
Q3 = 54 / 2
Q3 = 27

Therefore, the third quartile's value is 27.

Answer 3

I apologize for the error in my previous response. Let me calculate the third quartile (Q3) again for the dataset provided: 22, 29, 31, 30, 22, 24, 18, 20, 25.

First, arrange the numbers in ascending order: 18, 20, 22, 22, 24, 25, 29, 30, 31.

Since there are 9 numbers in the dataset, the position of Q3 is calculated as follows:
Position of Q3 = 3/4 * (n + 1) = 3/4 * (9 + 1) = 3/4 * 10 = 7.5

Q3 falls between the 7th and 8th values.

The third quartile (Q3) is the average of the 7th and 8th values:

Q3 = (25 + 29) / 2
Q3 = 54 / 2
Q3 = 27

Therefore, the third quartile's value for the provided dataset is 27.