The given distribution shows the number of wickets taken by the bowlers in one - day international cricket matches:
Number of wickets | Less than 15 | Less than 30 | Less than 45 | Less than 60 | Less than 75 | Less than 90 | Less than 105 | Less than 120 |
Number of bowlers | 2 | 5 | 9 | 17 | 39 | 54 | 70 | 80 |
Draw a 'less than type' ogive from the above data. Find the median.
Lets plot a graph of ‘less than ogive’, taking upper limits of the class intervals on x - axis and cumulative frequencies on y - axis.
As we have N = 80 by the frequency table.
N/2 = 80/2 = 40
Mark 40 on y - axis and the corresponding point on x - axis would be the median.
The corresponding point on x - axis is 76.
Hence, median is 76.