Roll
No.
Total
No. of Questions : 07
BBA (Sem.–3rd)
BUSINESS STATISTICS
Subject Code : BB-304
Paper ID : [C0216]
Time
: 3 Hrs.
INSTRUCTION
TO CANDIDATES :
1. Section –A,
is Compulsory.
2. Attempt any
four questions from Section-B.
Section –A
1.
(a) What is the relation between Mean, Median and Mode ?
(b) What is Binomial Distribution ? Discuss
its features.
(c) What are the limitations of Index
numbers ?
(d) Differentiate between Arithmetic
Progression and Geometric
Progression.
(e) What are the merits of diagrammatic
representation of statistical
Data ?
(f) Differentiate between Mean Deviation
and Standard Deviation.
(g) Differentiate between Correlation and
Regression.
(h) Define Coefficient of Variation.
(i) Discuss the classical ap proach of
probability.
(j) Discuss the properties of Normal
Distribution.
SECTION-B
2.
(a) Define Standard Deviation. Discuss its properties.
(b)
In two factories A and B, engaged in the same industry in the area,
the average week
wages in rupees and the S.D. are as follows :
Factory
|
Average
|
S.D.
|
No. of
employees
|
A
|
34.5
|
5.0
|
476
|
B
|
28.5
|
4.5
|
524
|
(i)
Which factory A or B pays out a larger amount on weekly
wages?
(ii) Which Factory A or B has greater
variability in individual wages?
3. In a genetic
survey, the data of height of fathers (in cms) and height of sons (in cms) were
collected. Data are as follows :
Father
|
165
|
166
|
167
|
167
|
168
|
169
|
171
|
173
|
170
|
166
|
Son
|
167
|
168
|
164
|
168
|
171
|
170
|
169
|
170
|
169
|
165
|
Find the two lines of regression. Calculate
correlation coefficient and
expect the average height of son when the
height of father is
168.2 cms.
4.
Given the following data.
Items
|
2009
|
2010
|
||
|
Price
|
Quantity
|
Price
|
Quantity
|
Rice
|
4
|
6
|
5
|
6
|
Oil
|
30
|
2
|
33
|
2
|
Tea
|
8
|
1
|
9
|
1
|
Washing powder
|
6
|
½
|
8
|
1
|
Sugar
|
4
|
4
|
5
|
5
|
Milk
|
4
|
3
|
6
|
3
|
5.
(a) State the different methods used for diagrammatic representation
of statistical data
and indicate briefly the advantages and
disadvantages of
each one of them.
(b) In the frequency distribution of 100
families given below, the
number of families
corresponding to expenditure groups 20-40
and 60-80 are
missing from the table. However, median is known
to be 50. Find the
missing frequencies.
Expenditure
|
0-20
|
20-40
|
40-60
|
60-80
|
80-100
|
No. of families
|
14
|
?
|
27
|
?
|
15
|
6. Estimate the trend value by the 4-yearly
moving averages method for
the following data:
Year
|
1997
|
1998
|
1999
|
2000
|
2001
|
2002
|
2003
|
2004
|
2005
|
2066
|
2007
|
2008
|
Value
|
12
|
18
|
26
|
32
|
40
|
60
|
76
|
94
|
100
|
108
|
98
|
90
|
7.
(a) What do you mean by probability? Discuss the Laws of probability?
(b) A salesman is known to sell a product
in 3 out of 5 attempts while another salesman in 2 out of 5 attempts. Find the
probability that
(i) No sale
will take place when they both try to sell the product
(ii) Either of
them will succeed in selling the product.
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