Question

Find the interquartile range of the given dataset.

11, 13, 22, 17, 14, 21, 27, 15

(1 point)
Responses

21.5
21.5

8
8

6.5
6.5

13.5

Answer 1

To find the interquartile range, we first need to find the median (Q2) of the dataset.

Arranging the data in ascending order: 11, 13, 14, 15, 17, 21, 22, 27

Q2 is the median, which is the middle value of the dataset, so Q2 = 17.

Next, we need to find the median of the lower half (Q1) and the median of the upper half (Q3).

Q1 = median of the lower half = (13 + 14) / 2 = 13.5

Q3 = median of the upper half = (21 + 22) / 2 = 21.5

Finally, we can calculate the interquartile range:

Interquartile Range = Q3 - Q1 = 21.5 - 13.5 = 8

Therefore, the interquartile range of the given dataset is 8.