For the following data, draw a ‘less than’ ogive and hence find the median of the distribution.
Age (in years ) : |
0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 |
Number of persons : |
5 | 15 | 20 | 25 | 15 | 11 | 9 |
Age |
less than 10 | less than 20 | less than 30 | less than 40 | less than 50 | less than 60 | less than 70 |
Number of persons : |
5 | 20 | 40 | 65 | 80 | 91 | 100 |
Plot Age on x-axis and cumulative frequency on y-axis
Marking a point on the curve whose ordinate is 50 gives an x-ordinate= 33.5
Hence, the Median of the data is 33.5 (approx)