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Mathematics

The following table shows a record of the weights, in kilogram, of 100 pupil. Find the mean weight.

WeightNumber of pupils
50-5315
53-5618
56-5920
59-6225
62-6516
65-686

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Answer

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

WeightNumber of pupils (f)Class mark (x)fx
50-531551.5772.50
53-561854.5981
56-592057.51150
59-622560.51512.50
62-651663.51016
65-68666.5399
TotalΣf = 100Σfx = 5831

By formula,

Mean = ΣfxΣf=5831100\dfrac{Σfx}{Σf} = \dfrac{5831}{100} = 58.31 kg.

Hence, the mean weight = 58.31 kg

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