Find the mode of the following distribution:
Class interval | 10 - 14 | 14 - 18 | 18 - 22 | 22 - 26 | 26 - 30 | 30 - 34 | 34 - 38 | 38 - 42 |
Frequency | 8 | 6 | 11 | 20 | 25 | 22 | 10 | 4 |
Here, the maximum class frequency is 25.
The class corresponding to this frequency is the modal class. ⇒ modal class = 26 - 30
∴ lower limit of the modal class (l) = 26
Modal class size (h) = 4
Frequency of the modal class (f1) = 25
Frequency of class preceding the modal class (f0) = 20
Frequency of class succeeding the modal (f2) = 22
Mode is given by,
⇒
⇒
⇒ Mode = 26 + 2.5 = 28.5
Hence, the mode is 28.5.