Question

Consider the following random sample of data: 12, 24, 30, 15, 22, 5, 9, 3, 101, 20

Answer 1

The given data in desending order is:

`3,5,9,12,15,20,22,24,30,101`

Recall that the median is the middle number of set of numbers arranged in ascending or descending order.

Notice that there are 10 data values Hence the area two middle value

The median is the average of the middle values:

`(15+20)/(2)=17.5`

Hence the median is 17.5

Recall that an outlier is a data point that differs significantly from other observations

Hence the outlier is 101.

Note that new data will become:

`\begin{equation*} 3,5,9,12,15,20,22,24,30 \end{equation*}`

Therefore the median is 15