Question

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

13.5
6.5
21.5
5.8

Answer 1

[AI-generated answer — Bot GPT 3.5]

The interquartile range (IQR) is found by subtracting the first quartile (Q1) from the third quartile (Q3).

First, we need to arrange the dataset in ascending order:
11, 13, 14, 15, 17, 21, 22, 27

Next, we need to find the median of the lower half of the dataset (Q1) and the median of the upper half of the dataset (Q3):
Q1 = (14 + 15) / 2 = 14.5
Q3 = (21 + 22) / 2 = 21.5

Finally, we find the IQR by subtracting Q1 from Q3:
IQR = 21.5 - 14.5 = 7

Therefore, the interquartile range of the dataset is 7.