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प्रश्न
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 |
उत्तर
| 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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संबंधित प्रश्न
The following data gives the distribution of total monthly household expenditure of 200 families of a village. Find the modal monthly expenditure of the families. Also, find the mean monthly expenditure.
| Expenditure (in Rs) | Number of families |
| 1000 − 1500 | 24 |
| 1500 − 2000 | 40 |
| 2000 − 2500 | 33 |
| 2500 − 3000 | 28 |
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| 3500 − 4000 | 22 |
| 4000 − 4500 | 16 |
| 4500 − 5000 | 7 |
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| Frequency | 7 | 14 | 13 | 12 | 20 | 11 | 15 | 8 |
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| Class-interval: | 10 - 15 | 15 - 20 | 20 - 25 | 25 - 30 | 30 - 35 | 35 - 40 |
| Frequency: | 30 | 45 | 75 | 35 | 25 | 15 |
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| Marks: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 | 80 - 90 | 90 - 100 |
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