Find the interquartile range of the given dataset.
11, 13, 22, 17, 14, 21, 27, 15
(1 point)
Responses
8
8
13.5
13.5
21.5
21.5
6.5
The first step in finding the interquartile range is to find the median (Q2) of the dataset. In this case, the median is 16.
Next, we need to find the median (Q1) of the lower half of the dataset. The lower half of the dataset is: 11, 13, 14, 15. The median of this lower half is 13.5.
Similarly, we need to find the median (Q3) of the upper half of the dataset. The upper half of the dataset is: 17, 21, 22, 27. The median of this upper half is 21.5.
Now that we have Q1, Q2, and Q3, we can find the interquartile range by subtracting Q1 from Q3:
IQR = Q3 - Q1
IQR = 21.5 - 13.5
IQR = 8
Therefore, the interquartile range of the given dataset is 8. Answer: 8.