Mathematics

The daily wages of workers in a construction unit were recorded as follows :
Class marks (Wages) No. of workers
425 6
475 12
525 15
575 17
625 7
675 13
Form a frequency distribution table with class intervals and find modal wage by plotting a histogram.

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Difference between two consecutive class marks = 475 - 425 = 50.

Adjustment factor = $\dfrac{\text{Class width}}{2} = \dfrac{50}{2}$ = 25.

Lower class limit = Class mark - Adjustment factor

Upper class limit = Class mark + Adjustment factor

Steps of construction :

Take 2 cm along x-axis = ₹50 and 2 cm along y-axis = 5 workers.
Construct rectangles corresponding to the given data.
In highest rectangle, draw two st. lines AD and BC from corners of the rectangles on either side of the highest rectangle to the opposite corners of the highest rectangle.
Let K be the point of intersection of AD and BC. Through K, draw a vertical line to meet the x-axis at L. The abscissa of the point L represents 557.50.

Hence, mode = ₹ 557.50

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