Question

Draw a histogram for the following frequency distribution and find the mode from the graph.

Class	0 – 5	5 – 10	10 – 15	15 – 20	20 – 25	25 – 30
Frequency	2	5	18	14	8	5

Answer 1

Steps:

1. Take 1 cm along x-axis = 5 units and 1 cm along y-axis = 4 units.
2. Construct rectangles corresponding to the given data.
3. 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.
4. Through P, draw a vertical line to meet the x-axis at M. The abscissa of the point M represents 14.

Hence, the required mode = 14.