Question

A customer service center keeps track of the number of complaints received each day about one of their new products. The numbers of complaints received over the last 11 day period are 19, 18, 22, 21, 17, 18, 22, 19, 16, 23, and 25. The IQR for this sample of data is

Answer 1

We can calculate the IQR first finding the first quartile using the following data:

16 17 18 18 19

`Q_1 = 18`

And similarly we can find the third quartile using the following data:

21 22 22 23 25

`Q_3 = 22`

And then the IQR would be given by:

`IQR = Q_3 -Q_1 = 22-18 = 4`

Explanation:

We have the following data given:

19, 18, 22, 21, 17, 18, 22, 19, 16, 23, and 25

The first step is order the data on increasing way and we got:

16 17 18 18 19 19 21 22 22 23 25

We can calculate the IQR first finding the first quartile using the following data:

16 17 18 18 19

`Q_1 = 18`

And similarly we can find the third quartile using the following data:

21 22 22 23 25

`Q_3 = 22`

And then the IQR would be given by:

`IQR = Q_3 -Q_1 = 22-18 = 4`