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10th November 2014, 03:06 PM
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Join Date: Apr 2013
Re: Business Statistics question paper

Ok, as you want the question paper of B. B. A. (Semester - II ) of Business Statistics of University of Pune so here I am providing you.

B. B. A. ( Semester - II ) Examination - 2009
Business Statistics

Q.1)
(A) Attempt any four of the following : [4x4=16]
(a) Explain in brief uses of Statistics in Industry.
(b) What do you mean by measures of Central Tendency ?
Give a real life situation where Mode is preferable to
Arithmetic Mean.
(c) Calculate Karl - Pearson’s Coefficient of Correlation from
the following information :
n = 10, x = 250, y = 300, xy = 7,900, x2 = 6,500,
y2 = 10,000
[3672]-205 1 P.T.O.
(d) Draw Frequency Polygon for the following frequency
distribution :
Age in Years Number of Persons
0 – 10 4
10 – 20 16
20 – 30 30
30 – 40 20
40 – 50 14
50 – 60 10
60 – 70 4
(e) Solve graphically the following Linear Programming
Problem (L.P.P.) :
Max. Z = 20x + 17y
Subject to
2x + 2y 22
12x + 10y
120
x, y 0
(f) Calculate Standard Deviation (S.D.) for the frequency
distribution of marks of 100 candidates given below :
Marks No. of Candidates
0 – 20 5
20 – 40 12
40 – 60 32
60 – 80 40
80 – 100 11
[3672]-205 2 Contd.

Q.2) Attempt any four of the following : [4x4=16]
(a) How does SRSWR differ from SRSWOR ?
(b) Calculate Correlation Coefficient between X and Y, given
equations of lines of regression as follows :
X + 2Y = 5
2X + 3Y = 8
(c) Calculate Median for the following frequency distribution :
Speed (in kms.) Number of Cars
60 – 65 12
65 – 70 32
70 – 75 50
75 – 80 85
80 – 85 15
85 – 90 6
(d) The management of hotel has employed 5 cooks and 10 waiters.
The monthly salaries of a cook and a waiter are Rs. 3,000 and
Rs. 2,500 respectively. Find mean salary of the employees.
(e) The Mean and S.D. of 100 observations are 40 and 5.1
respectively. It was later discovered that an observation 40 was
misread as 50. Calculate correct Mean and S.D.
(f) Calculate Coefficient of Quartile Deviation for the following
data :
120, 190, 161, 203, 168, 172, 200, 116, 206, 135, 121, 205,
114, 124, 200.

Q.3) Attempt any four of the following : [4x4=16]

(a) Define Correlation. Describe various types of Correlations.
(b) Find regression equation of x on y from the following data :
n = 10, x = 60, y = 40, xy = 1,150,
x2 = 4,160, y2 = 1,720.
(c) Describe the term Linear Programing Problem. Give any two real life situations where Linear Programming Problem can be applied.
(d) The following data represents information about the goals scored by two teams in football matches :
Number of Goals Scored 0 1 2 3 4
No. of Matches by Team A 20 12 8 3 2
No. of Matches by Team B 18 10 7 6 4
Which team is more consistent ? Justify.

(e) For the frequency distribution of number of absent days of students in a class is given below :
Number of Days Absent Number of Students
Less than 5 25
5 – 9 50
10 – 14 125
15 – 19 37
20 – 24 13
25 and above 2
Total 252
Obtain :
(i) Identify open end classes.
(ii) State type of classification.
(iii) Class mark of third class.
(iv) Number of students absent for less than 10 days.
[3672]-205 4 Contd.

(f) Present the following data using subdivided bar diagram
Sex Male Female Total
Faculty
Arts 32 40 72
Commerce 70 40 110
Science 50 30 80
Total 152 110 262

Q.4) Attempt any four of the following : [4x4=16]

(a) Explain concept of Regression and state any two properties of Regression Coefficients.
(b) The following figures represent number of books issued at the counter of Commerce College Library on 8 different days :
96, 98, 75, 80, 102, 100, 94, 75
Calculate Mean, Median and Mode of the Data.

(c) Explain concept of Dispersion and Relative Measures of
Dispersion.
(d) Determine an initial basic feasible solution to the following transportation problem by using North West Corner Method. Also find corresponding cost of transportation :
Destination
D1 D2 D3 D4 D5 Supply
A 2 11 10 3 7 4
Source B 1 4 7 2 1 8
C 3 9 4 8 12 9
Demand 3 3 4 5 6 21

(e) Explain meaning of Transportation Problem. Give any one real life situation where transportation problem can be applied.

(f) Obtain a feasible region graphically for the following L.P.P. :
Min. Z = 20x + 40y
Subject to
36x + 6y
108
x + 12y
36
2x + y 10
x, y 0

Q.5) Attempt any two of the following :

(a)
(i) A company manufactures two kinds of Industrial Batteries, Super and Excel. The profits are Rs. 40 and Rs. 30 per battery respectively. Super Battery requires twice as much time as required for Excel and if all batteries were of Excel make, the company would make 1000 batteries per day.
The raw material for both the batteries is common and
is sufficient to produce 800 batteries per day (both Super
and Excel combined). The outer castings for the batteries
are procured from two different local suppliers. The
suppliers of Super model can deliver only 400 castings
per day while the supplier of Excel model can supply 700
castings per day. Formulate above problem to determine
the quantity of each battery to be produced to maximize
profit. [06]

(ii) Explain an Attribute with an illustration. [02]
[3672]-205 6 Contd.

(b)
(i) Determine an initial basic feasible solution to the following transportation problem by using Matrix Minimum Method.
Also find corresponding cost of transportation :
Distribution Centers
1 2 3 4 Supply
I 2 3 11 7 6
Plants II 1 0 6 1 1
III 5 8 15 9 10
Demand 7 5 3 2 17 [06]

(ii) Explain the term Constrains in LPP. [02]

(c) Determine an initial basic feasible solution to the following transportation problem by using Vogel’s Approximation Method.
Also find corresponding cost of transportation :
Destination
D1 D2 D3 D4 D5 Supply
A 7 6 4 5 9 40
Source B 8 5 6 7 8 30
C 6 8 9 6 5 20
D 5 7 7 8 6 10
Demand 30 30 15 20 5 100 [08]


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