1. Find median-table data

2. Another measure of central tendency is the Median.
a) To find Median for ungrouped data. The median is calculated as follows:
For odd number of data
1. Place the numbers in ascending order
2. We have only one middle number and that number is the median.
For even number of data
1. Place the numbers in ascending order
2. We have two middle numbers . Hence, we get median by taking average of the two middle numbers
i.e we add the two numbers and divide the sum by two

3. To find Median for grouped data Cumulative frequency
Cumulative frequency of a class is nothing but the total frequency up to that class.
Example 1:- Find the median for marks of 50 students
Marks 20 27 34 43 58 65 89
No.of students 2 4 6 11 12 8 7
Solution:
Marks (x)
No. of students (f)
Cumulative frequency 20 2 27 4
(2+4=) 6 34 6
(6+6=) 12 43 11
(11+12=) 23 58 12
(23+12=) 35 65 8
(35+8=) 43 89 7
(43+7=) 50
Total 50

4. Here, the total frequency, N = ∑f = 50
Marks (x)
No. of students (f)
Cumulative frequency 20 2 27 4 6 34 12 43 11 23 58 35 65 8 89 7 50
Total
Here, the total frequency, N = ∑f = 50
The median is
Value = 25th value
Now, 25th value occurs in the cumulative frequency 35
whose corresponding marks is 58. Hence, the median = 58 (ans)

5. TRY THESE
The height (in cm) of 50 students in a particular class are given below.
Find the median.
2. Find the median for the following data: