Marks scored by 100 students in a 25 marks unit test of Mathematics is given below Their median is

The correct answer is: 12.62

 Given : 
Marks scored by 100 students in a 25 marks unit test of Mathematics is given below 


 Steps to find Median
Step 1: Find the total number of observations(n) = 100
Step 2: Define the class size(h), and divide the data into different classes, h = 5
Step 3: Calculate the cumulative frequency of each class.

Marks	Students	Cumulative Frequency
0-5	10	10
5-10	18	28
10-15	42	70
15-20	23	93
20-25	7	100
	= 100 = n

Step 4: Identify the class in which the median falls. (Median Class is the class where n/2 lies.)


Step 5: Find the lower limit of the median class(l), and the cumulative frequency of the class preceding the median class (c).
Lower limit of median class (l) = 10
Cumulative frequency of the class preceding the median class (c) = 28
Step 6 : Substituting these values in the formula :