Question

The following is the distribution of weights (in kg) of 40 persons:

Weight (in kg)	40 – 45	45 – 50	50 – 55	55 – 60	60 – 65	65 – 70	70 – 75	75 – 80
Number of persons	4	4	13	5	6	5	2	1

Construct a cumulative frequency distribution (of the less than type) table for the data above.

Answer 1

C.I.	`bb(f_i)`	Weight (in kg)	Cumulative frequency
40 – 45	4	Less than 45	4 + 0 = 4
45 – 50	4	Less than 50	4 + 4 = 8
50 – 55	13	Less than 55	8 + 13 = 21
55 – 60	5	Less than 60	21 + 5 = 26
60 – 65	6	Less than 65	26 + 6 = 32
65 – 70	5	Less than 70	32 + 5 = 37
70 – 75	2	Less than 75	37 + 2 = 39
75 – 80	1	Less than 80	39 + 1 = 40