Daily wages (â‚¹) number of workers (c f ) interval f mid values(x) d=x-A D=d/h fD More than 300 0 300-350 0 325 150 3 0 More than 250 12 250-300 12 275 100 2 24 More than 200 21 200-250 9 225 50 1 9 More than 150 44 150-200 23 175 (A) 0 0 0 More than 100 53 100-150 9 125 -50 -1 -9 More than 50 59 50-100 6 75 -100 -2 -12 More than 0 60 0-50 1 25 -150 -3 -3 total f=60 total=9 here h(class interval)= 50 and A (assumed Mean)=175 X=A+∑fD∑f×hX=175+960×50⇒X=175+7 5=182 5 ₹ Regards

Question number 9

Question number 9 9. The following frequency distribution gives the daily wages of a Worker ofa factory. Find mean wage ofa worker. Daily Wage (in ) More than 300 More than 250 More than 200 More than 150 More than 100 More than 50 More than 0 Number of Workers o 12 21 44 53 59 60 is 60 Find thi-'

Daily wages (₹)	number of workers (c.f.)	interval	f	mid values(x)	d=x-A	D=d/h	fD
More than 300	0	300-350	0	325	150	3	0
More than 250	12	250-300	12	275	100	2	24
More than 200	21	200-250	9	225	50	1	9
More than 150	44	150-200	23	175 (A)	0	0	0
More than 100	53	100-150	9	125	-50	-1	-9
More than 50	59	50-100	6	75	-100	-2	-12
More than 0	60	0-50	1	25	-150	-3	-3
			total f=60				total=9

here h(class interval)= 50 and A (assumed Mean)=175

X = A + \frac{\sum_{} f D}{\sum_{} f} \times h X = 175 + \frac{9}{60} \times 50 \Rightarrow X = 175 + 7.5 = 182.5 ₹

Regards

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