Question

Determine the IQR of this data set. Then indicate whether the data set contains any outliers. Explain how you determined this.

10 13 15 12 12 4 12 17
12 13 15 18 10 11 20 19

Answer 1

Answer: 4 is an outlier.

Explanation:

Answer 2

The IQR of the data set is 4.5

Explanation:

Given:

10 13 15 12 12 4 12 17

12 13 15 18 10 11 20 19

Now, to determine the IQR (interquartile range) of this data set.

So, we need to set the data in numerical orders:

4 10 10 11 12 12 12 12

13 13 15 15 17 18 19 20

Now, we split this in half and get the medians of both half:

4 10 10 11 12 12 12 12 Median 1 = 11.5

13 13 15 15 17 18 19 20 Median 2 = 16

Getting the medians of both half now we subtract the median 1 from median 2:

IQR = 16 - 11.5

IQR = 4.5.

Therefore, the IQR of the data set is 4.5