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Mathematics

Consider the following distribution of daily wages of 50 workers of a factory.

Daily wages (in ₹)Number of workers
500 - 52012
520 - 54014
540 - 5608
560 - 5806
580 - 60010

Find the mean daily wages of the workers of the factory by using an appropriate method.

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Answer

By formula,

Class mark = Upper limit + Lower limit2\dfrac{\text{Upper limit + Lower limit}}{2}

Daily wages (in ₹)Number of workers (fi)Class mark (xi)fixi
500 - 520125106120
520 - 540145307420
540 - 56085504400
560 - 58065703420
580 - 600105905900
TotalΣfi = 50Σfixi = 27260

By formula,

Mean = ΣfixiΣfi=2726050\dfrac{Σfixi}{Σf_i} = \dfrac{27260}{50} = 545.20

Hence, mean daily wage = ₹ 545.20

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