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Question
Find the mode of the following distribution.
| Class-interval: | 25 - 30 | 30 - 35 | 35 - 40 | 40 - 45 | 45 - 50 | 50 - 55 |
| Frequency: | 25 | 34 | 50 | 42 | 38 | 14 |
Solution
| Class-interval: | 25 - 30 | 30 - 35 | 35 - 40 | 40 - 45 | 45 - 50 | 50 - 55 |
| Frequency: | 25 | 34 | 50 | 42 | 38 | 14 |
Here the maximum frequency is 50 then the corresponding class 35 – 40 is the model class
L = 35, h = 40 – 35 = 5, f = 50, f1 = 34, f2 = 42
Mode `=L+(f-f_1)/(2f-f_1-f_2)xxh`
`=35+(50-34)/(2xx50-34-42)xx5`
`=35+(16xx5)/24`
`=35+80/24`
= 35 + 3.33
= 38.33
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