Question

If the median of the scores 1, 2, x, 4, 5 (where 1 < 2 < x < 4 < 5) is 3, then find the mean of the scores. 

Answer 1

The given data is 1, 2, x, 4 and 5. Since 1<2<x<4<5, the given data is already in ascending order.

Here, the number of observation n = 5 , which is an odd number.

Hence, the median is

`((n+1)/2)^(th) ` observation 

`= ((5+1)/2)^(th) `observation 

=3^rd observation 

= x

Here, it is given that the median is 3. Hence, we have x = 3.

The mean is  `(1+2+3+4+5)/5`

`=15/5`

 = 3