Find the interquartile range of the given dataset. 11, 13, 22, 17, 14, 21, 27, 15 (1 point) Responses 13.5 13.5 6.5 6.5 21.5 21.5 8

Answer 1

To find the interquartile range, we first need to find the first quartile (Q1) and the third quartile (Q3) of the dataset.

First, let's arrange the dataset in ascending order: 11, 13, 14, 15, 17, 21, 22, 27

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

Q3 is the median of the upper half of the dataset: (17 + 21) / 2 = 19

Now, we can find the interquartile range (IQR) by subtracting Q1 from Q3: 19 - 13.5 = 5.5

Therefore, the interquartile range of the given dataset is 5.5.