Question

# Calculate the mean of the following frequency distribution.Class$$90-100$$$$100-110$$$$110-120$$$$120-130$$$$130-140$$Frequency$$18$$$$78$$$$80$$$$100$$$$72$$

Solution

## $$Class$$ $$Frequency$$$$f_i$$ $$x_i$$ $$f_ix_i$$ $$90-100$$ $$18$$ $$95$$ $$1710$$ $$100-110$$ $$78$$ $$105$$ $$8190$$ $$110-120$$ $$80$$ $$115$$ $$9200$$ $$120-130$$ $$100$$ $$125$$ $$12500$$ $$130-140$$ $$72$$ $$135$$ $$9720$$  $$\sum f_i=348$$  $$\sum f_ix_i=41320$$ $$\Rightarrow$$  $$Mean(\overline{x})=\dfrac{\sum f_ix_i}{\sum f_i}=\dfrac{41320}{348}=118.73$$Mathematics

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