Find the mean (arithmetic) of following frequency distribution :
Expenditure (in Rs.) 100 - 150 150 - 200 200 - 250 250 - 300 300 - 350 350 - 400 400 - 450 450 - 500
No. of workers 24 40 33 28 30 22 16 7

Open in App

Solution

Let A = 275, h = 50
Arithmetic mean $(¯ x) = A + \frac{\sum u_{i} f_{i}}{\sum f_{i}} \times h = 275 - \frac{35}{200} \times 50 = 275 - 8.75 = 266.25$
Thus, required arithmetic mean = 266.25

Suggest Corrections

Similar questions

Expenditure: (in Rs.)	100-150	150-200	200-250	250-300	300-350	350-400	400-450	450-500
Frequency:	24	40	33	28	30	22	16	7

200

Class	100-150	150-200	200-250	250-300	300-350	350-400	400-450	450-500	500-550
Frequency	4	8	14	42	50	40	32	6	4

50

Daily income (in')	200-250	250-300	300-350	350-400	400-450	450-500
Number of workers	10	5	11	8	6	10

Class	0-50	50-100	100-150	150-200	200-250	250-300	300-350
Frequency	$10$	$15$	$30$	$20$	$15$	$8$	$2$

C.I	0-100	100-200	200-300	30-400	400-500	500-600	600-700
F	10	15	25	25	10	10	5

Join BYJU'S Learning Program

Expenditure (in Rs.)	100 - 150	150 - 200	200 - 250	250 - 300	300 - 350	350 - 400	400 - 450	450 - 500
No. of workers	24	40	33	28	30	22	16	7