Find the mode of the following distribution.
Class-interval: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
Frequency: | 5 | 8 | 7 | 12 | 28 | 20 | 10 | 10 |
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Solution
Class-interval: | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 | 50 - 60 | 60 - 70 | 70 - 80 |
Frequency: | 5 | 8 | 7 | 12 | 28 | 20 | 10 | 10 |
L = 40, h = 50 - 40 = 10, f = 28, f1 = 12 and f2 = 20
Mode `=L+(f-f_2)/(2f-f_1-f_2)xxh`
`=40+(28-12)/(2xx28-12-20)xx10`
`=40+(16xx10)/24`
`=40+160/24`
= 40 + 6.67
= 46.67
Concept: Mode of Grouped Data
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