The following data gives the distribution of total monthly household expenditure of 200families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure:
Expenditure (in Rs) | Number of families |
1000 – 1500 1500 - 2000 2000 - 2500 2500 - 3000 3000 - 3500 3500 - 4000 4000 - 4500 4500 – 5000 | 24 40 33 28 30 22 16 7 |
As per the question:
Modal class = 1500-2000
l = 1500
h = 500
f1 = 40
f0 = 24
f2 = 33
= 
= 1847.82
The above given data can be represented in the form of table as below:
Class interval | fi | xi | di=xi-a | ui | fiui |
1000-1500 | 24 | 1250 | -1500 | -3 | -72 |
1500-2000 | 40 | 1750 | -1000 | -2 | -80 |
2000-2500 | 33 | 2250 | -500 | -1 | -33 |
2500-3000 | 28 | 2750 | 0 | 0 | 0 |
3000-3500 | 30 | 3250 | 500 | 1 | 30 |
3500-4000 | 22 | 3750 | 1000 | 2 | 44 |
4000-4500 | 16 | 4250 | 1500 | 3 | 48 |
4500-5000 | 7 | 4750 | 2000 | 4 | 28 |
∑fi =200 | ∑fiui= -35 |
Hence, the mean can be calculated as below:
= 2750 -87.5
= 2662.50