Find median-table data

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

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

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)

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: