The following table gives the distribution of total household expenditure (in rupees) of manual workers in a city.
Find the average expenditure (in rupees) per household.
Expenditure Frequency Expenditure Frequency
(in rupees) (f) (in rupees) (f)
(in rupees) (X)
100-150 24 300-350 30
150-200 40 350-400 22
200-250 33 400-450 16
250-300 28 450-500 7
Answers
The average expenditure is Rs 266.25
Step-by-step explanation:
Step 1 :
The average expenditure can be computed as follows :
Finding the average of the data through assumed mean method
Find the class mark of the class intervals (x)
Choose any value from the class mark (A)
Subtract the value of A from the class marks (d)
Multiply the frequencies(f) with the corresponding values of d(fd)
Find the Sum of the frequencies
Find the sum of fd
Then calculate the mean as
Mean = A + Σfd ÷ Σf
Step 2 :
Calculations of the above steps
x f d(x-A,A=125) fd
125 24 0 0
175 40 50 2000
225 33 100 3300
275 28 150 4200
325 30 200 6000
375 22 250 5500
425 16 300 4800
475 7 350 2450
Mean = 125 + 28250 ÷ 200
= 125 + 141.25
= 266.25
Step 3 :
Answer :
The average expenditure per household is Rs.266.25
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