Given below is the distribution of Total household expenditure of 200 manual workers in a city.
Expenditure (in Rs.) | No of manual workers |
1000 - 1500 | 24 |
1500 - 2000 | 40 |
2000 - 2500 | 31 |
2500 - 3000 | 28 |
3000 - 3500 | 32 |
3500 - 4000 | 23 |
4000 - 4500 | 17 |
4500 - 5000 | 5 |
Find the expenditure done by maximum number of manual workers.
Expenditure done by maximum number of manual workers is estimated by finding mode.
So here, the maximum class frequency is 40.
The class corresponding to this frequency is the modal class. ⇒ modal class = 1500 - 2000
∴ lower limit of the modal class (l) = 1500
Modal class size (h) = 500
Frequency of the modal class (f1) = 40
Frequency of class preceding the modal class (f0) = 24
Frequency of class succeeding the modal (f2) = 31
Mode is given by,
⇒ 
⇒ 
⇒ Mode = 1500 + 320 = 1820
Hence, the mode is Rs.1820.