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:

Explanation

Here, Maximum frequency is `40`.

So, Modal class will be corresponding class to `40` that is , `1500-2000`.

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 `= 1500`

`f_1 = ` Frequency of Modal class `= 40`

`f_2 = ` Frequency of Pre Modal class `= 24`

`f_3 = ` Frequency of Succeeding Modal class `= 33`

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