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Business
Research
Methods
Measures of
Central Tendency
Hello!
Prepared by
Rajakrishnan M
Assistant Professor in Commerce CA
Dr. N.G.P. Arts and Science College
Coimbatore
2
Arithmetic Mean
Individual Observations
1
4
The Following table gives the monthly income of 10
employees in an office:
Calculate the arithmetic mean of income.
Income (₹)
14,780 15,760 26,690 27,750 24,840
24,920 16,100 17,810 27,050 26,950
Arithmetic Mean
Discrete Series
2
6
From the Following data of the marks obtained by 60
students of a class, calculate the arithmetic mean:
Marks No. of Students
20 8
30 12
40 20
50 10
60 6
70 4
Arithmetic Mean
Continuous Series
3
8
From the following data compute arithmetic mean by
direct method:
Marks No. of Students
0 -10 5
10 - 20 10
20 - 30 25
30 - 40 30
40 - 50 20
50 - 60 10
9
Calculate arithmetic mean from the following data:
Marks No. of Students
0 -10 5
10 - 30 12
30 - 60 20
60 - 100 8
100 - 150 5
Arithmetic Mean
Correcting Incorrect Values
4
11
The mean marks of 100 students
were found to be 40. Later on it was
discovered that a score of 53 was
misread as 83. Find the correct mean
corresponding to the correct score.
Weighted
Arithmetic Mean
5
13
A contractor employs three types of
workers- male, female and children.
To a male he pays ₹ 300 per day, to a
female worker ₹ 250 per day and to a
child worker ₹ 140 per day. What is
the average wage per day paid by
the contractor ?
14
A train runs 240 miles at a speed of 60
m.p.h., another 480 miles at a speed of 80
m.p.h., then due to repairs of the track
travels for 15 minutes at a speed of 10
m.p.h. and finally covers the remaining
distance of 270 miles at a speed of 55
m.p.h. What is the average speed in miles
per hour?
15
Comment on the performance of the students of the three
colleges given below using simple and weighted averages:
College ‘A’ ‘B’ ‘C’
Course
of Study
Pass
%
No. of Students
(‘000)
Pass
%
No. of Students
(‘000)
Pass
%
No. of Students
(‘000)
M.A. 71 3 82 2 81 2
M. Com. 83 4 76 3 76 3.5
B.A. 73 5 73 6 74 4.5
B. Com. 74 2 76 7 58 2
B. Sc. 65 3 65 3 70 7
M.Sc. 66 3 60 7 73 2
Measures of Central Tendency

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Measures of Central Tendency