Calculate the mode from the following data:
Monthly salary (in Rs.) | No. of employees |
0 - 5000 | 90 |
5000 - 10000 | 150 |
10000 - 15000 | 100 |
15000 - 20000 | 80 |
20000 - 25000 | 70 |
25000 - 30000 | 10 |
Here, the maximum class frequency is 150.
The class corresponding to this frequency is the modal class. ⇒ modal class = 5000 - 10000
∴ lower limit of the modal class (l) = 5000
Modal class size (h) = 5000
Frequency of the modal class (f1) = 150
Frequency of class preceding the modal class (f0) = 90
Frequency of class succeeding the modal (f2) = 100
Mode is given by,
⇒
⇒
⇒ Mode = 5000 + 2727.27 = 7727.27
Hence, the mode is Rs.7727.27.