Q. 34.2( 233 Votes )

# 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:

Answer :

As per the question:

Modal class = 1500-2000

l = 1500

h = 500

f1 = 40

f0 = 24

f2 = 33

Formula for calculating mode is

where,

l = lower limit of modal class

f_{1} = frequency of the modal class

f_{0} = frequency of the class before modal class

f_{2} = frequency of the class after modal class

h = width of modal class

Therefore,

Mode

Mode

= 1500 + 347.82= 1847.82

Mode of the data is Rs.1847.82The above given data can be represented in the form of table as below:

Hence, the mean can be calculated as below:

where a = assumed mean

f_{i} = frequency of the ith class

h is the class width

Mean

Mean = 2750 -87.5

Mean = Rs. 2662.50

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