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2. The following table gives the weekly wages of workers in a factory.65 - 7070 - 7575 - 8060 - 6555 - 6080 - 85 85-90Weekly Wages (50 - 55No. of workers 520101096128Calculate the mean, by using :(1) Direct Method(ii) Short-Cut Method. |
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Answer» 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 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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