The table below shows the daily expenditure on food of 25 household in a locality

Question:

The table below shows the daily expenditure on food of 25 household in a locality

Find the mean daily expenditure on food by a suitable method.

Solution:

Let the assumed mean a = 225 and h = 50

Now,

$\sum f_{i}=25$

 

$\sum f_{i} u_{i}=-7$

Mean, $\bar{x}=a+\left(\frac{\sum f_{i} u_{i}}{\sum f_{i}}\right) \times h$

$=225+\left(\frac{-7}{25}\right) \times(50)$

$=225-14$

 

$=211$

Therefore, mean daily expenditure on food is Rs 211.

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