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

Answer:

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:

$Median= \frac{69+70}{2} =69.5$

And the IQr would be:

$IQR = 79-62= 17$

Step-by-step 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:

$Median= \frac{69+70}{2} =69.5$

And the IQr would be:

$IQR = 79-62= 17$