The table shows the daily expenditure on grocery of 25 households in a locality. Find the modal daily expenditure on grocery by a suitable method.

We know the mode can be calculated using the formula,

Where l is lower limit of the modal class

h is class interval

f₁ is frequency of the modal class

f₀ is frequency of the class before modal class

f₂ is frequency of the class after modal class

Here the modal class can be calculated as

Modal class = interval with highest frequency

From the given table the highest frequency is 12, so the corresponding interval is 200 - 250.

So the modal class = 200 - 250……(ii)

Now finding the corresponding values of various values for mode calculation

l = 200 (as lower limit of modal class is 200)

h = 250 - 200 = 50

f₁ = 12 (frequency of modal class)

f₀ = 5 (this is the frequency of class before modal class)

f₂ = 2 (this is the frequency of class after modal class)

Substituting these values in equation (i), we get

⇒Mode = 200 + 20.58

⇒ Mode = 220.58

Hence the modal daily expenditure on grocery is Rs. 220.58/ -