Find the interquartile range of the given dataset.

11, 13, 22, 17, 14, 21, 27, 15

(1 point)
Responses

13.5
13.5

8
8

6.5
6.5

21.5

1 answer

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

In this dataset, the numbers are: 11, 13, 22, 17, 14, 21, 27, 15

First, we need to find the median of the dataset: 14, 15, 17, 22. The median is 16.

Next, we find the median of the lower quartile (Q1): 14, 15. The median is 14.5.

Then, we find the median of the upper quartile (Q3): 17, 22. The median is 19.5.

Now we can find the interquartile range by subtracting Q1 from Q3:
Q3 - Q1 = 19.5 - 14.5 = 5

Therefore, the interquartile range is 5.

So, the correct answer is: 6.5.