Question

Consider the following dataset: 22, 29, 31, 30, 22, 24, 18, 20, 25. What is the third quartiles value? Round to the nearest tenth if necessary.

Answer 1

To find the third quartile value, we need to first arrange the data in ascending order:

18, 20, 22, 22, 24, 25, 29, 30, 31

To find the third quartile, we need to determine the position of the value in the dataset. Since there are 9 values in the dataset, the third quartile position can be calculated as:

Q3 = (3/4)(n+1) = (3/4)(9+1) = 7.5

Since 7.5 is not a whole number, we take the average of the values in the 7th and 8th positions:

(25 + 29) / 2 = 27

Therefore, the third quartile value is 27.