Question

find the median of 70 40 50 100 75 75 65 95​

Answer 1

First, arrange the given set of data in either ascending or descending order. I chose ascending order.

40, 50, 65, 70, 75, 75, 95, 100

As the number of given numbers is an even number, we will find the mean or average of the two middle numbers.

(70 + 75) ÷ 2

= 145 ÷ 2

= 72.5

Therefore, the answer is 72.5.

Answer 2

To find the median, first we have to arrange the data in ascendind order.

$40 \\ 50 \\ 65 \\ 70 \\ 75 \\ 75 \\ 95 \\ 100$

So, we have to count the number of data, that is 8.

8 is an even number.

So, the sum of two middle-most data divided by 2 is the median.

Two middle-most data are 70 and 75.

$Median \\ = \frac{Sum \: of \: two \: middle-most \: data}{2} \\ \\ = \frac{70 + 75}{2} \\ \\ = \frac{145}{2} \\ \\ = 72.5$

Therefore the median is 72.5