2. The following table gives the weekly wages of workers in a factory.
65 - 70
70 - 75
75 - 80
60 - 65
55 - 60
80 - 85 85-90
Weekly Wages (50 - 55
No. of workers 5
20
10
10
9
6
12
8
Calculate the mean, by using :
(1) Direct Method
(ii) Short-Cut Method.
Answers
Step-by-step explanation:
Given The following table gives the weekly wages of workers in a factory.65 - 70
70 - 75
75 - 80
60 - 65
55 - 60
80 - 85 85-90
Weekly Wages (50 - 55
No. of workers 5
20
10
10
9
6
12
8
Calculate the mean, by using :
(1) Direct Method
(ii) Short-Cut Method.
Weekly wages (Rs) Number of workers(f) Cumulative frequency Class marks x f(x)
50 – 55 5 5 52.5 262.5
55 – 60 20 25 57.5 1150.0
60 – 65 10 35 62.5 625.0
65 – 70 10 45 67.5 675.0
70 – 75 9 54 72.5 652.0
75 – 80 6 60 77.5 465.085
80 – 85 12 72 82.5 990.0
85 – 90 8 80 87.5 700.0
Total 80 5520.0
Mean = ∑ f(x) / ∑ f
= 5520 / 80
= 69
Weekly
wages (Rs) Number of workers(f) x I di = Xi – A (67.5) fi di
50 – 55 5 52.5 - 15 - 75
55 – 60 20 57.5 - 10 - 200
60 – 65 10 62.5 - 5 - 50
65 – 70 10 67.5 0 0
70 – 75 9 72.5 5 45
75 – 80 6 77.5 10 60
80 – 85 12 82.5 15 180
85 – 90 8 87.5 20 160
Total 80 so fi di = 120
Mean = A + ∑ fi di / ∑ f i
= 67.5 + 120 / 80
= 69
Reference link will be
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Mean = 69
mode = 55-60
Step-by-step explanation:
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