Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
274 views
in Statistics by (30.8k points)
closed by

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 men monthly expenditure:

1 Answer

+1 vote
by (31.2k points)
selected by
 
Best answer

We may observe that the given data be maximum class frequency is 40 belonging to 1500- 2000 intervals 

So, 

modal class = 1500- 2000 

l=1500, f=40, f0=24, f2=33, h=50

Mode = \(I+(\frac{f-f_0}{2f-f_0-f_2})h\)

\(=1500+(\frac{40-24}{2(40)-24-33})50\)

=1500 + 347.826 

=1847.826 

So, 

modal class monthly expenditure was Rs. 1847.83 

We may compute class marks (xi) as per the relation:

xi \(=\frac{upper\,class\,limit+lower\,class\,limit}{2}\)

h= 500, A=2750

∑xi=200, \(\sum f_iu_i\)

(x̅) mean = A + \(\frac{\sum f_iu_i}{\sum f_i}\times h\)

(x̅) \(=2750+\frac{-35}{200}\times500\)

=2750-87.5 

=2662.5 

So, mean monthly expenditure was Rs. 2662.50

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

Categories

...