A Mathematics aptitude test of 50 students was recorded as follows :
A Mathematics aptitude test of 50 students was recorded as follows :
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.