Q. 85.0( 1 Vote )

Find the median of the following frequency distribution:

Answer :

Here, we have grouped data given in the table. We need to find cumulative frequency of the data, which will predict our answer.


We have added up all the values of the frequency in the second column and have got,

Total = n = 100

Now, we just need to find the value of n/2. So,

Now, look up for a value in the cumulative frequency just greater than 50.

We have, 59.

Corresponding to this value of cumulative frequency, we can say that median class is 40 – 50.

That is,

Median class = 40 – 50

we have almost everything we require to calculate median.

Median is given by,


l = lower limit of the median class = 40

n = Total number of observation (sum of frequencies) = 100

cf = cumulative frequency of the class preceding the median class = 35

f = frequency of the median class = 24

c = class size (class sizes are equal) = 10

Putting the values, l = 40, n/2 = 50, cf = 35, f = 24 and c = 10 in the given formula of median, we get

Median = 40 + 6.25

Median = 46.25

Thus, the median of the data is 46.25.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
NCERT | Important Questions of StatisticsNCERT | Important Questions of StatisticsNCERT | Important Questions of Statistics44 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses