Find the median of the following distribution.

X	1	2	3	4	5
F	5	7	4	8	2

Correct option is A

Given:

Given distribution for median

Formula Used:

Median if n is odd = $$\frac{n+1}{2}$$​th value

If n is even =$$\frac{\left(\frac{n}{2}\right)^{th} value + \left(\frac{n}{2}+1\right)^{th} value}{2}$$​​

Solution:

Finding the cumualtive frequency of the data

Here n= even

Then $$\frac{\left(\frac{26}{2}\right)^{th} value + \left(\frac{26}{2}+1\right)^{th} value}{2}$$ 

​$$= \frac{13th value + 14th value }{2}$$​​

Both 13^th and 14^th value will come under x=3

Then median = $$\frac{3+3}{2} = 3$$​​