Question

There are 10 observations arranged in ascending order As given below 45, 47,50,x,x+2,60,62,63. The median of this observations is 53 find the value of x also find the mean and the mode of the data

Answer 1

Below in bold.

Explanation:

The median will be the average of the 2 middle numbers

so it is:

(x + x + 2)/2 and this equal 53,

(2x + 2)/2 = 53

x + 1 = 53

x = 52.

So, the list is

45, 47, 50, 52, 54, 60, 62, 63

Mean = (45 + 47+ 50+ 52 +54+ 60+ 62+ 63)/ 8

= 54.125

There is no Mode.