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The following table gives the distribution of total household expenditure (in rupees) of manual workers in a city.
| Expenditure (in rupees) ($x_i$) | Frequency ($f_i$) | Expenditure (in rupees) ($x_i$) | Frequency ($f_i$) |
| 100-150 | 24 | 300-350 | 30 |
| 150-200 | 40 | 350-400 | 22 |
| 200-250 | 33 | 400-500 | 16 |
| 250-300 | 28 | 450-500 | 7 |
Find the average expenditure (in rupees) per household.
Given:
The given table gives the distribution of total household expenditure (in rupees) of manual workers in a city.
To do:
We have to find the average expenditure (in rupees) per household.
Solution:
Let the assumed mean be $A=275$
We know that,
Mean $=A+h \times \frac{\sum{f_iu_i}}{\sum{f_i}}$
Therefore,
Mean $=275+50\times\frac{-35}{200}$
$=275+\frac{-35}{4}$
$=275-8.75$
$=266.25$
The average expenditure (in rupees) per household is $266.25$.
Updated on: 10-Oct-2022
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