Statistics
Question 3:
The following data gives the distribution of total monthly household expenditure of 200 families 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 |
24 |
1500 − 2000 |
40 |
2000 − 2500 |
33 |
2500 − 3000 |
28 |
3000 − 3500 |
30 |
3500 − 4000 |
22 |
4000 − 4500 |
16 |
4500 − 5000 |
7 |
Answer:
It can be observed from the given data that the maximum class frequency is 40, belonging to 1500 − 2000 intervals.
Therefore, modal class = 1500 − 2000
Lower limit (l) of modal class = 1500
Frequency (f_{1}) of modal class = 40
Frequency (f_{0}) of class preceding modal class = 24
Frequency (f_{2}) of class succeeding modal class = 33
Class size (h) = 500
Therefore, modal monthly expenditure was Rs 1847.83.
To find the class mark, the following relation is used.
Class size (h) of the given data = 500
Taking 2750 ...
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