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

Explanation

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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