Question

a,a-1,a-3,a+2,a+1,a+3 find median

Answer 1

To find median, first step is to rearrange observations in ascending order

Here ascending order is

(a - 3), (a - 1), a, (a + 1), (a + 2), (a + 3)

Now, there are total 6 obervations which is an even number

In this case

Median = (sum of two middle most observations) / 2

Here middle most observations are a and a +1

Median = ( a + a + 1)/2

Median = (2a + 1)/2