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
f1 = frequency of the modal class
f0 = frequency of the class before modal class
f2 = 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.1847.82

The 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
fi = frequency of the ith class
h is the class width


Mean 


Mean = 2750 -87.5


Mean = Rs. 2662.50 

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Best Method to Calculate Mean of Grouped DataBest Method to Calculate Mean of Grouped DataBest Method to Calculate Mean of Grouped Data48 mins
RD Sharma | Important Questions from Mode and MedianRD Sharma | Important Questions from Mode and MedianRD Sharma | Important Questions from Mode and Median36 mins
NCERT | Important Questions of StatisticsNCERT | Important Questions of StatisticsNCERT | Important Questions of Statistics44 mins
Smart Revision | Rapid Revision on StatisticsSmart Revision | Rapid Revision on StatisticsSmart Revision | Rapid Revision on Statistics59 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
caricature
view all courses
RELATED QUESTIONS :