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Question
For the following frequency distribution, find the mode:
| Class | 25 – 30 | 30 – 35 | 35 – 40 | 40 – 45 | 45 – 50 |
| Frequency | 12 | 5 | 14 | 8 | 9 |
Solution
Here, the highest frequency is 14, therefore the modal class is 35 – 40.
So, l = 35, f1 = 14, f0 = 5, f2 = 8 and h = 15
Now, Mode (M0) = `l + ((f_1 - f_0)/(2f_1 + f_0 - f_2)) xx h`
= `35 + ((14 - 5)/(28 - 5 - 8)) xx 15`
= `35 + 9/15 xx 15`
= 35 + 9
= 44
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