Madras University Question Paper
Subject : BUSINESS MATHEMATICS AND STATISTICS
Subject Code : MWG
OCTOBER 2013 U/ID 1370/MWG
Time : Three hours Maximum : 100 marks
SECTION A — (5 × 8 = 40 marks)
Answer any FIVE questions.
All questions carry equal marks.
1. In a survey of 5,000 persons, it was found that
2,800 read Indian Expenses and 2,300 read states
man while 400 read both papers. How many do not
read neither Indian expenses nor states man?
2. The average monthly income of a person for the
first eight months of a year exceeds that of the
first seven months of the year by Rs.25. If he earns
Rs.1,275 in the eighth month of the year, find his
average monthly income for the first eight months
of the year.
(8 pages)
3. A person borrowed Rs.500 from a money lender
and agree to pay four instalments of Rs.150 each
at the end of 3, 6, 9, 12 months. Find the rate of
simple interest per annum charged by the money
lender.
4. Construct a table with suitable class interval for
the following data.
28 30 34 39 18 19 20 40 50 70
14 24 60 66 88 78 70 72 64 56
64 42 36 30 30 25 27 29 30 41
45 47 49 51 59 40 65 64 62 59
18 20 22 34 44 47 48 50 45 40
5. From the following data compute the value of
upper and lower quartiles.
Marks No. of
students
Below – 10 8
10 – 20 10
20 – 40 22
40 – 60 25
60 – 80 10
Above 80 5
Total 80
6. Explain about various methods of constructing
index numbers.
7. What are the advantages of stratified random
sampling?
8. An integer is chosen at random out of the integers
from 1 to 100. What is the probability that, it is
(a) multiple of 5
(b) divisible by 7
(c) greater than 70.
SECTION B — (3 × 20 = 60 marks)
Answer any THREE questions.
All questions carry equal marks.
9. A man retires at the age of 60 and earns a pension
of Rs.8,700 a year. He wants to commute one third
of his pension. Find the amount he will receive, if
the expectations of his life at this age be 10 years,
and the interest is compounded at 4% per annum.
(Assume that pension for a year is due at the end
of the year).
10. Find the standard deviation for the following
distribution :
X : 4.5 14.5 24.5 34.5 44.5 54.5 64.5
f : 1 5 12 22 17 9 4
11. Two judges in a beauty competition rank the 12
entries as follows :
X : 1 2 3 4 5 6 7 8 9 10 11 12
Y : 12 9 6 10 3 5 4 7 8 2 11 1
What degree of agreement is there between the
judgement of the two judges?
12. Calculate the cost of living index number using
aggregate expenditure method :
Commodity Unit consumption in
base year
Price in
base year
Price in
current year
Wheat 200 1.0 1.2
Rice 50 3.0 3.5
Pulses 50 4.0 5.0
Ghee 20 20.0 30.0
Sugar 40 2.5 5.0
Oil 50 10.0 15.0
Fuel 60 2.0 2.5
Clothing 40 15.0 18.0
13. Below are given the figures of production (in
thousand quintals) of a sugar factory :
Year Production
(thousand quintals)
1989 77
1991 88
1992 94
1993 85
1994 91
1995 98
1998 90
Fit a straight line and tabulate the trend values.
———————
Subject : BUSINESS MATHEMATICS AND STATISTICS
Subject Code : MWG
OCTOBER 2013 U/ID 1370/MWG
Time : Three hours Maximum : 100 marks
SECTION A — (5 × 8 = 40 marks)
Answer any FIVE questions.
All questions carry equal marks.
1. In a survey of 5,000 persons, it was found that
2,800 read Indian Expenses and 2,300 read states
man while 400 read both papers. How many do not
read neither Indian expenses nor states man?
2. The average monthly income of a person for the
first eight months of a year exceeds that of the
first seven months of the year by Rs.25. If he earns
Rs.1,275 in the eighth month of the year, find his
average monthly income for the first eight months
of the year.
(8 pages)
3. A person borrowed Rs.500 from a money lender
and agree to pay four instalments of Rs.150 each
at the end of 3, 6, 9, 12 months. Find the rate of
simple interest per annum charged by the money
lender.
4. Construct a table with suitable class interval for
the following data.
28 30 34 39 18 19 20 40 50 70
14 24 60 66 88 78 70 72 64 56
64 42 36 30 30 25 27 29 30 41
45 47 49 51 59 40 65 64 62 59
18 20 22 34 44 47 48 50 45 40
5. From the following data compute the value of
upper and lower quartiles.
Marks No. of
students
Below – 10 8
10 – 20 10
20 – 40 22
40 – 60 25
60 – 80 10
Above 80 5
Total 80
6. Explain about various methods of constructing
index numbers.
7. What are the advantages of stratified random
sampling?
8. An integer is chosen at random out of the integers
from 1 to 100. What is the probability that, it is
(a) multiple of 5
(b) divisible by 7
(c) greater than 70.
SECTION B — (3 × 20 = 60 marks)
Answer any THREE questions.
All questions carry equal marks.
9. A man retires at the age of 60 and earns a pension
of Rs.8,700 a year. He wants to commute one third
of his pension. Find the amount he will receive, if
the expectations of his life at this age be 10 years,
and the interest is compounded at 4% per annum.
(Assume that pension for a year is due at the end
of the year).
10. Find the standard deviation for the following
distribution :
X : 4.5 14.5 24.5 34.5 44.5 54.5 64.5
f : 1 5 12 22 17 9 4
11. Two judges in a beauty competition rank the 12
entries as follows :
X : 1 2 3 4 5 6 7 8 9 10 11 12
Y : 12 9 6 10 3 5 4 7 8 2 11 1
What degree of agreement is there between the
judgement of the two judges?
12. Calculate the cost of living index number using
aggregate expenditure method :
Commodity Unit consumption in
base year
Price in
base year
Price in
current year
Wheat 200 1.0 1.2
Rice 50 3.0 3.5
Pulses 50 4.0 5.0
Ghee 20 20.0 30.0
Sugar 40 2.5 5.0
Oil 50 10.0 15.0
Fuel 60 2.0 2.5
Clothing 40 15.0 18.0
13. Below are given the figures of production (in
thousand quintals) of a sugar factory :
Year Production
(thousand quintals)
1989 77
1991 88
1992 94
1993 85
1994 91
1995 98
1998 90
Fit a straight line and tabulate the trend values.
———————
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