Question

The table below shows the daily expenditure on food of $$25$$ households in a locality.Daily expenditure (in C) $$100-150$$$$150-200$$ $$200-250$$$$250-300$$$$300-350$$Number of households$$4$$$$5$$$$12$$$$2$$$$2$$Find the mean daily expenditure on food by a suitable method.

Solution

Lets take assumed mean, $$A$$ as $$225$$Class interval $$=50$$$$\therefore u_i = \dfrac{x_i-A}h = \dfrac{x_i - 225}{50}$$$$\bar x = A+h\dfrac{\sum f_iu_i}{\sum f_i} = 225 + 50\times \dfrac{-7}{25} = 225 -14 = 211$$Hence, the mean daily expenditure on food is Rs. $$211$$Mathematics

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