Question

Find the median, Q1, Q3, interquartile range (IQR), and list any outliers. 2) 74, 63, 69, 62, 33, 79, 70, 60, 107, 119

Answer 1

Since the sample size is n=10 we can find the first quartile taking in count the first 5 observations from the data set ordered and we have this:

33 60 62 63 69

`Q_1 =62`

We can find the third quartile taking in count the last 5 observations from the data set ordered and we have this:

70 74 79 107 119

`Q_3 =79`

And finally the median can be calculated with the average of the two moddlie values and we got:

`Median= (69+70)/(2) =69.5`

And the IQr would be:

`IQR = 79-62= 17`

Explanation:

Assuming that 2 is not part of the data we have:

74, 63, 69, 62, 33, 79, 70, 60, 107, 119

We can sort the values on increasing order and we got:

33 60 62 63 69 70 74 79 107 119

Since the sample size is n=10 we can find the first quartile taking in count the first 5 observations from the data set ordered and we have this:

33 60 62 63 69

`Q_1 =62`

We can find the third quartile taking in count the last 5 observations from the data set ordered and we have this:

70 74 79 107 119

`Q_3 =79`

And finally the median can be calculated with the average of the two moddlie values and we got:

`Median= (69+70)/(2) =69.5`

And the IQr would be:

`IQR = 79-62= 17`