Question

Daily wages of 110 workers, obtained in a survey, are tabulated below:

Daily Wages (in Rs.)	100-120	120-140	140-160	160-180	180-200	200-220	220-240
Number of Workers	10	15	20	22	18	12	13

Compute the mean daily wages and modal daily wages of these workers.

Answer 1

Daily Wages(in Rs.)	Number of Workers(݂fi)	xi	ui	fiui
100-120	10	110	-3	-30
120-140	15	130	-2	-30
140-160	20	150	-1	-20
160-180	22	170	0	0
180-200	18	190	1	18
200-220	12	210	2	24
220-240	13	230	3	39
Total	110

Mean daily wages = 170 +1/110 x 20 = 170.19 (approx.)

Mode = 160 + (22-20/44-20-18) x 20 = Rs.166.67 (approx.)