A mathematics aptitude test of 50 students was recorded as follows :

Marks	No. of students
50 - 60	4
60 - 70	8
70 - 80	14
80 - 90	19
90 - 100	5

Draw a histogram for the above data using a graph paper and locate the mode.

Steps :

1. Take 1 cm along x-axis = 10 marks and 1 cm along y-axis = 4 (students).
2. Since, the scale on x-axis starts at 50, a break (zig-zag curve) is shown near the origin along x-axis to indicate that the graph is drawn to scale beginning at 50 and not at origin itself.
3. Construct rectangles corresponding to the given data.
4. In highest rectangle, draw two st. lines AC and BD from corners of the rectangles on either side of the highest rectangle to the opposite corners of the highest rectangle. Let P be the point of intersection of AC and BD.
5. Through P, draw a vertical line to meet the x-axis at M. The abscissa of the point M represents 82.5.

Hence, the required mode = 82.5