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Mathematics

The following table shows the weights (in kg) of 15 workers in a factory :

Weight (in kg)Number of workers
604
635
663
721
752

Calculate the mean weight.

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Answer

Mean=fxf\text{Mean} = \dfrac{\sum fx}{\sum f}

where

f = frequency (Number of workers)

x = observation (weight)

Weight (x)Number of workers (f)fx
604240
635315
663198
72172
752150
Total15975

So, ∑fx = 975 and ∑f = 15

Therefore,

Mean=fxf\text{Mean} = \dfrac{\sum fx}{\sum f}

= 97515\dfrac{975}{15} = 65.

Hence, mean weight = 65 kg.

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