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The marks distribution of 30 students m ...

The marks distribution of 30 students m a mathematics examination are given in Table of Example 1. Find the mode of this data.

Text Solution

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Here, Maximum frequency is `7`.
So, Modal class will be corresponding class to `7` that is , `40-55`.
Now, Mode can be given by formula,
`Mode = l+(f_1-f_0)/(2f_1-f_0-f_2)**h`
Here, `l =` Lower limit of modal class `= 40`
`f_1 = ` Frequency of Modal class `= 7`
`f_2 = ` Frequency of Pre Modal class `= 3`
`f_3 = ` Frequency of Succeeding Modal class `= 6`
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