Q. 45.0( 1 Vote )

Find the median for the following data.


Answer :

This is a grouped frequency distribution, in which median is calculated as follows.

First, we need to convert this inclusive type of data values into exclusive type. For this, subtract 0.5 from lower limits of each class and add 0.5 to upper limits of each class interval.


We have the following table:



Here, we get total frequency, N = 50. So,



Since, N/2 = 25. Mark a cumulative frequency which is just greater than 25.


Here, it is 31. So, median class would be 29.5 – 39.5.


Median is given by



Where, l = lower limit of the median class = 29.5


N/2 = 25 (as calculated above)


m = cumulative frequency of the class preceding the median class = 20


f = frequency of the median class = 11


c = width of the median class = 10


Putting all these values in the formula, we get




Median = 29.5 + 4.55 = 34.05


Thus, median is 34.05.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Median and ModeQuiz | Median and ModeQuiz | Median and Mode29 mins
Quiz | Basics of  MeanQuiz | Basics of  MeanQuiz | Basics of Mean37 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
caricature
view all courses