A survey conducted on 20 households in a locality by a group of students resulted in the following frequency table for the number of family members in a household.

Find the mode of this data.

Here, the maximum class frequency is 8, and the class corresponding to this frequency is 3 – 5.

So, the modal class is 3 – 5.

Now, modal class = 3 – 5, lower limit (l) of modal class = 3, class size(h) = 2

frequency (f₁) of the modal class = 8

frequency (f₀) of class preceding the modal class = 7

frequency (f₂) of class succeeding the modal class = 2

Now, let us substitute these values in the formula

= 3.286