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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. $$211$$

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Mathematics

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