| Marks | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| No. of students | 4 | 8 | 14 | 19 | 5 |
Draw a histogram for the above data using a graph paper and locate the mode. (2011)
Solution:
Construct histogram using given data.
| Marks | 50-60 | 60-70 | 70-80 | 80-90 | 90-100 |
| No. of students | 4 | 8 | 14 | 19 | 5 |
Represent marks on X-axis and number of students on Y-axis.
Take scale: X axis : 2 cm = 10 (class interval)
Y axis : 1 cm = 1 (frequency)
In the highest rectangle, draw two straight lines AC and BD.
P is the point of intersection.
Draw a vertical line through P to meet the X-axis at M.
The abscissa of M is 82.5.
Hence the mode is 82.5.