The median of the following frequency distribution is

The median is a simple measure of central tendency. To find the Median, we arrange the observations in order from smallest to largest value. 

If there is an odd number of observations, the median is the middle value.

If there is an even number of observations, the median is the average of two middle values.

We also need to calculate the cumulative frequency which is the sum of two frequencies.

x      fx      CF

3      5       5

5      11     5+11=16 

**7      15     16+15=31**

9      18     31+18=49

11      8      49+8=57

12      3       57+3=60

Now, (60/2) + 1 = 31

31 occurs in the 3rd column corresponding to which the number is 7.

Thus, Median = 7     Ans.