University Of Pune Question Paper
B. B. A. ( Semester - II ) Examination - 2013
BUSINESS STATISTICS
(New 2008 Pattern)
Time : 3 Hours] [Max. Marks : 80
Instructions :
(1) All questions are compulsory.
(2) All questions carry equal marks.
(3) Figures to the right indicate full marks.
(4) Use of statistical tables and private calculator is allowed.
(5) Notations have their usual meanings.
Q.1) Attempt any four of the following : [4x4=16]
(a) Explain SRSWR and SRSWOR in detail.
(b) Find Mean, Median and Mode for the following data :
2, 5, 8, 2, 5, 9, 6, 5, 3
(c) Obtain an Initial Basic Feasible Solution to the following
Transportation Problem using the North-West Corner Rule. Also
find the Corresponding Cost of Transportation :
Destinations
Sources D E F G availability
A 11 13 17 14 250
B 16 18 14 10 300
C 21 24 13 10 400
Requirement 200 225 275 250
[4372]-205 1 P.T.O.
Seat
No.
(d) Calculate the range and its coefficient for the following data :
x 4 6 8 10 12
f 15 25 12 36 30
(e) The following data refers to Birth Rate and Death Rate for three
states in a particular year. Draw a Multiple Bar Diagram to
represent this data :
State Birth Rate Death Rate
Maharashtra 35,000 15,000
Gujarat 28,000 8,000
Tamilnadu 14,000 6,000
(f) State merits and demerits of Mode.
Q.2) Attempt any four of the following : [4x4=16]
(a) Calculate Karl Pearson’s Coefficient of Correlation from the
following data and interpret it :
Karan’s Marks
in Statistics 38 20 30 28 17 19 23 35 16
Karan’s Marks
in Marketing 40 18 35 20 18 25 28 13 20
(b) The mean height of 25 boys in a class is 61 cm and the mean
height of 35 girls in the same class is 58 cm. Find the combined
mean height of 60 student of the class.
(c) Explain in detail the Concept ‘Correlation’.
(d) Write a note on ‘Scope of Statistics in Industry’.
(e) Obtain the Lines of Regression from the following data :
x 4 5 6 8 11
y 12 10 8 7 5
(f) Define Population and Sample.
[4372]-205 2 Contd.
Q.3) Attempt any four of the following : [4x4=16]
(a) State merits and demerits of Mean.
(b) Find Median for the following data :
Wages in
Rs. 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
Persons 1 3 11 21 43 32 9
(c) A company has three operational departments namely weaving,
processing and packing with capacity to produce three different
types of clothes namely suitings, shirting and woollens yielding
a profit of Rs. 2, Rs. 4 and Rs. 3 per meter respectively. One
meter of suiting requires 3 minutes in weaving, 2 mintues in
processing and 1 minute in packing. Similarly one meter of
shirting requires 4 minutes in weaving, 1 minute in processing
and 3 minutes in packing. One meter of woollen requires 3
minutes in each department. In a week, total run time of each
department is 60, 40 and 80 hours for weaving, processing and
packing respectively. Formulate the Linear Programming Problem
to find the product mix to maximize the profit.
(d) Draw Histogram for the following data :
Marks 0-20 20-40 40-60 60-80 80-100
No. of
Students 2 18 42 28 5
(e) Compute Coefficient of Quartile Deviation for the following
data :
100, 24, 14, 21, 105, 68, 35, 106, 100, 72, 16.
(f) The distribution of marks obtained by 100 students is given
below. Calculate the Arithmetic Mean :
Marks 0-10 10-20 20-30 30-40 40-50 50-60
No. of
Students 5 10 25 30 20 10
[4372]-205 3 P.T.O.
Q.4) Attempt any four of the following : [4x4=16]
(a) Use graphical method to solve the following L.P. Problem :
Maximize z = 2x + y
Subject to constraints,
x + 2y ≤ 10
x + y ≤ 6
and x, y ≥ 0.
(b) Define the following terms :
(i) Feasible Solution (FS)
(ii) Optimum Solution
(c) State Properties of Regression Coefficient.
(d) Find Mode for the following data giving marks obtained by
students from F. Y. B. B. A. Class :
Marks 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No. of
Students 4 12 40 41 27 13 9 4
(e) State the procedure to find an Initial Basic Feasible Solution
by North - West Corner Rule.
(f) Obtain Correlation Coefficient if :
b
yx
= + 0.929 and b
xy
= + 0.979
Q.5) Solve any two of the following : [2x8=16]
(a) Find an Initial Basic Feasible Solution to the following problem
using Vogel’s Approximation Method :
XYZ
A 8 7 3 60
B 3 8 9 70
C 11 3 5 80
50 80 80 210
[4372]-205 4 Contd.
(b) Following information is about Advertising and Sales of ABCL
Ltd. :
Advertistag Exp. (X) Sales (Y)
(Rs. Lakhs) (Rs. Lakhs)
Mean 10 90
S. D. 3 12
Coefficient of Correlation = 0.8.
(i) Obtain the two regression lines.
(ii) Find the likely sales when advertisement expenditure is
Rs. 15 lakhs.
(iii) What should be advertisement expenditure if the company
wants to attain target of Rs. 120 lakhs ?
(c) Find the Minimum Transportation Cost for the following
Transportation Problem by N-W-C Rule :
Destination
Source X Y Z Availabilities
A 16 19 12 14
B 22 13 19 16
C 14 28 8 12
Requirement 10 15 17
[437
B. B. A. ( Semester - II ) Examination - 2013
BUSINESS STATISTICS
(New 2008 Pattern)
Time : 3 Hours] [Max. Marks : 80
Instructions :
(1) All questions are compulsory.
(2) All questions carry equal marks.
(3) Figures to the right indicate full marks.
(4) Use of statistical tables and private calculator is allowed.
(5) Notations have their usual meanings.
Q.1) Attempt any four of the following : [4x4=16]
(a) Explain SRSWR and SRSWOR in detail.
(b) Find Mean, Median and Mode for the following data :
2, 5, 8, 2, 5, 9, 6, 5, 3
(c) Obtain an Initial Basic Feasible Solution to the following
Transportation Problem using the North-West Corner Rule. Also
find the Corresponding Cost of Transportation :
Destinations
Sources D E F G availability
A 11 13 17 14 250
B 16 18 14 10 300
C 21 24 13 10 400
Requirement 200 225 275 250
[4372]-205 1 P.T.O.
Seat
No.
(d) Calculate the range and its coefficient for the following data :
x 4 6 8 10 12
f 15 25 12 36 30
(e) The following data refers to Birth Rate and Death Rate for three
states in a particular year. Draw a Multiple Bar Diagram to
represent this data :
State Birth Rate Death Rate
Maharashtra 35,000 15,000
Gujarat 28,000 8,000
Tamilnadu 14,000 6,000
(f) State merits and demerits of Mode.
Q.2) Attempt any four of the following : [4x4=16]
(a) Calculate Karl Pearson’s Coefficient of Correlation from the
following data and interpret it :
Karan’s Marks
in Statistics 38 20 30 28 17 19 23 35 16
Karan’s Marks
in Marketing 40 18 35 20 18 25 28 13 20
(b) The mean height of 25 boys in a class is 61 cm and the mean
height of 35 girls in the same class is 58 cm. Find the combined
mean height of 60 student of the class.
(c) Explain in detail the Concept ‘Correlation’.
(d) Write a note on ‘Scope of Statistics in Industry’.
(e) Obtain the Lines of Regression from the following data :
x 4 5 6 8 11
y 12 10 8 7 5
(f) Define Population and Sample.
[4372]-205 2 Contd.
Q.3) Attempt any four of the following : [4x4=16]
(a) State merits and demerits of Mean.
(b) Find Median for the following data :
Wages in
Rs. 30-40 40-50 50-60 60-70 70-80 80-90 90-100
No. of
Persons 1 3 11 21 43 32 9
(c) A company has three operational departments namely weaving,
processing and packing with capacity to produce three different
types of clothes namely suitings, shirting and woollens yielding
a profit of Rs. 2, Rs. 4 and Rs. 3 per meter respectively. One
meter of suiting requires 3 minutes in weaving, 2 mintues in
processing and 1 minute in packing. Similarly one meter of
shirting requires 4 minutes in weaving, 1 minute in processing
and 3 minutes in packing. One meter of woollen requires 3
minutes in each department. In a week, total run time of each
department is 60, 40 and 80 hours for weaving, processing and
packing respectively. Formulate the Linear Programming Problem
to find the product mix to maximize the profit.
(d) Draw Histogram for the following data :
Marks 0-20 20-40 40-60 60-80 80-100
No. of
Students 2 18 42 28 5
(e) Compute Coefficient of Quartile Deviation for the following
data :
100, 24, 14, 21, 105, 68, 35, 106, 100, 72, 16.
(f) The distribution of marks obtained by 100 students is given
below. Calculate the Arithmetic Mean :
Marks 0-10 10-20 20-30 30-40 40-50 50-60
No. of
Students 5 10 25 30 20 10
[4372]-205 3 P.T.O.
Q.4) Attempt any four of the following : [4x4=16]
(a) Use graphical method to solve the following L.P. Problem :
Maximize z = 2x + y
Subject to constraints,
x + 2y ≤ 10
x + y ≤ 6
and x, y ≥ 0.
(b) Define the following terms :
(i) Feasible Solution (FS)
(ii) Optimum Solution
(c) State Properties of Regression Coefficient.
(d) Find Mode for the following data giving marks obtained by
students from F. Y. B. B. A. Class :
Marks 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No. of
Students 4 12 40 41 27 13 9 4
(e) State the procedure to find an Initial Basic Feasible Solution
by North - West Corner Rule.
(f) Obtain Correlation Coefficient if :
b
yx
= + 0.929 and b
xy
= + 0.979
Q.5) Solve any two of the following : [2x8=16]
(a) Find an Initial Basic Feasible Solution to the following problem
using Vogel’s Approximation Method :
XYZ
A 8 7 3 60
B 3 8 9 70
C 11 3 5 80
50 80 80 210
[4372]-205 4 Contd.
(b) Following information is about Advertising and Sales of ABCL
Ltd. :
Advertistag Exp. (X) Sales (Y)
(Rs. Lakhs) (Rs. Lakhs)
Mean 10 90
S. D. 3 12
Coefficient of Correlation = 0.8.
(i) Obtain the two regression lines.
(ii) Find the likely sales when advertisement expenditure is
Rs. 15 lakhs.
(iii) What should be advertisement expenditure if the company
wants to attain target of Rs. 120 lakhs ?
(c) Find the Minimum Transportation Cost for the following
Transportation Problem by N-W-C Rule :
Destination
Source X Y Z Availabilities
A 16 19 12 14
B 22 13 19 16
C 14 28 8 12
Requirement 10 15 17
[437
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