Question

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.
Daily 100-150 150-200 200-250 250-300 300-350 Expenditure
(in Rs.)
Noof 4 5 12 2 2 households

Answer 1

Step-by-step explanation:

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/ -