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प्रश्न
Find the mode of the following distribution.
| Class-interval: | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
| Frequency: | 30 | 45 | 75 | 35 | 25 | 15 |
उत्तर
| Class-interval: | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
| Frequency: | 30 | 45 | 75 | 35 | 25 | 15 |
Here the maximum frequency is 75 then the corresponding class 20 – 25 is the model class
L = 20, h = 25 – 20 = 5, f = 75, f1 = 45, f2 = 35
Mode `=L+(f-f_1)/(2f-f_1-f_2)xxh`
`=20+(75-45)/(2xx75-45-35)xx5`
`=20+(30xx5)/70`
`=20+150/70`
= 20 + 2.14
= 22.14
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