Find the mode of the given data:
Class interval | 0 - 20 | 20 - 40 | 40 - 60 | 60 - 80 |
Frequency | 15 | 6 | 18 | 10 |
Here, the maximum class frequency is 18.
The class corresponding to this frequency is the modal class. ⇒ modal class = 40 - 60
∴ lower limit of the modal class (l) = 40
Modal class size (h) = 20
Frequency of the modal class (f1) = 18
Frequency of class preceding the modal class (f0) = 6
Frequency of class succeeding the modal (f2) = 10
Mode is given by,
⇒
⇒
⇒ Mode = 40 + 12 = 52
Hence, the mode is 52.