Maths-

General

Easy

### Question

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

- 12
- 12.62
- 12.3
- 12.7

### Hint:

**Median for grouped data ** =

#### 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 :

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