Question

The daily wages (in rupees) of 30 employees in an establishment are distributed as follows:

Daily wages (in ₹)	0 – 10	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60
No. of employees	1	8	10	5	4	2

Estimate the modal daily wages for this distribution by drawing a histogram.

Answer 1

Steps:

1. Take 2 cm along x-axis = 10 rupees and 1 cm along y-axis = 1 employee.

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 23.

Hence, the required mode = ₹ 23.