Business Statistics Question Paper' 2023
[Dibrugarh University B.Com 3rd Sem CBCS Pattern]
COMMERCE (Generic Elective)
Paper: GE – 303 (Business Statistics)
Full Marks: 80
Pass Marks: 32
Time: 3 hours
The figures in the margin indicate full marks for the questions
1. Answer any four of the following questions: 4x4=16
(a) Prove for any two non-zero values that GM2 = AM x HM.
(b) Write the requisites of a good measure of central tendency.
(c) Prove that relationship between coefficient of correlation and
the two regression coefficients.
(d) Explain, with the help of a scatter diagram, the different types
of correlation.
(e) Explain cost of living index number.
(f) Write the additive and multiplicative models used in time series
analysis.
2. (a) (i) Write the relationship between mean, median and mode.
Write one example each of median and mode. 4
(ii) Calculate the value of median for the following distribution: 5
|
(Weight) |
(No. of Children) |
|
0-10 10-20 20-30 30-40 40-50 |
10 14 19 17 13 |
(iii) Calculate standard deviation for the
following distribution: 7
|
Marks: |
0-10 |
10-20 |
20-30 |
30-40 |
40-50 |
50-60 |
|
No. of Students: |
20 |
25 |
32 |
40 |
35 |
24 |
Or
(b) (i) Calculate mean deviation from mean with the help of the
following data: 4
7, 10, 15, 22, 26
(ii) Calculate mode for the following data: 5
|
Income:
|
100-110 |
110-120 |
120-130 |
130-140 |
140-150 |
|
No. of Persons: |
10 |
14 |
29 |
17 |
13 |
(iii) Calculate the coefficient of quartile deviation for the
following data: 7
|
Wages (Rs.) |
50-60 |
60-70 |
70-80 |
80-90 |
90-100 |
100-110 |
|
No. of Persons: |
10 |
14 |
20 |
13 |
8 |
6 |
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Also Read: PAST EXAM QUESTION PAPERS AND SOLUTIONS (DIBRUGARH UNIVERSITY)
Non-CBCS Pattner Question Paper:
1. Business Statistics Question Papers (From 2014 onwards) B.Com 3rd Sem
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Business Statistics (Hons) - 2020 2021 2022 2023
Business Statistics Solved Question Papers
1. Business Statistics Solved Question Papers (Non-CBCS Pattern)
2. Business Statistics Solved Questions Papers (CBCS Pattern): 2020 2021 2022
BUSINESS STATISTICS IMPORTANT QUESTIONS:
- Business Statistics Important Theory & Practical
BUSINESS STATISTICS CHAPTERWISE NOTES CLICK HERE
**********************
3. (a) (i) Write the full properties of correlation coefficient. 4
(ii) Calculate Karl Pearson’s Coefficient of correlation from the
data given below: 5
N = 12, ∑dx = -5, ∑dy = -6, ∑dx2 = 225,
∑dy2 = 704, ∑dxdy = 306
(iii) Find the two regression equations from the data given below: 7
|
X: |
35 |
42 |
20 |
50 |
72 |
64 |
60 |
|
Y: |
40 |
48 |
24 |
60 |
84 |
68 |
56 |
Or
(b) (i) Prove that the correlation coefficient is the GM of the two
regression coefficients. 4
(ii) Calculate the coefficient of rank correlation from the data
given below: 5
|
X: |
48 |
33 |
40 |
16 |
65 |
24 |
18 |
44 |
20 |
|
Y: |
13 |
10 |
24 |
15 |
50 |
20 |
16 |
21 |
18 |
(iii) Prove that Karl Pearson’s coefficient
of correlation is not dependent on the origin and scale of measurement. 7
4. (a) (i) What are the different types of
index numbers? Name each of them. 4
(ii) Prove that Fisher’s index number
satisfies time reversal test. 5
(iii) Find the price index number from the
following data using Paasche and Laspeyres index number formula: 7
|
Items |
Base Year |
Current Year |
||
|
Price (Rs.) |
Quantity |
Price (Rs.) |
Quantity |
|
|
A B C |
4 6 8 |
10 15 16 |
6 4 12 |
15 20 6 |
Or
(b) (i) Prove that Fisher’s index number
satisfies time reversal test and factor reversal test. 8
(ii) Write the three uses of cost of living
index number. Determine the cost of living index number from the following
information: 8
|
Items |
Price of the Base year |
Price of the Current year |
Weight |
|
Food Fuel Clothing House Rent Others |
30 8 14 22 25 |
47 12 18 15 30 |
4 1 3 2 1 |
5. (a) (i) Write a short note on seasonal
variation in a time series. 4
(ii) Estimate trend values by using 4 yearly
moving average for the following data: 5
|
Year: |
2001 |
2002 |
2003 |
2004 |
2005 |
2006 |
2007 |
2008 |
|
Sale: |
60 |
46 |
53 |
54 |
48 |
48 |
42 |
51 |
(iii) Using least squares method, calculate
the trend line equation for the data given below: 7
|
Year: |
1991 |
1992 |
1993 |
1994 |
1995 |
|
Value: |
104 |
100 |
96 |
86 |
75 |
Or
(b) (i) If the annual trend line equation of
a time series by y = 12 + 1.44t (origin 1990, t unit = 1 year), find the trend
line equation with 1995 as origin. 4
(ii) Calculate 3-yearly moving averages from
the data given below: 5
|
Year: |
1975 |
1976 |
1977 |
1978 |
1979 |
1980 |
1981 |
|
Price: |
12 |
14 |
15 |
27 |
28 |
31 |
29 |
(iii) Discuss the uses and limitations of
time series analysis. 3+4=7
***
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