BBA/1/CC/03 Student's Copy
Professional Course Examination, November 2018
CBCS
1st Semester
BACHELOR OF BUSINESS ADMINISTRATION
Statistics for Business Decision
Full Marks 75
Time 3 hours
PART A—OBJECTIVE
Marks 35
The figures in the margin indicate full marks for the questions
SECTION—A
Marks 15
Tick the correct answer in the brackets provided 1½×5=7½
1. The sum of squares of deviation from mean is
maximum
minimum
zero
None of the above
/473 1 Contd.
2. The arithmetic mean of the first n natural numbers, 3,......,n is
n
2


2

n
2

None of the above
3. The major assumption for computing a mean value from a group data is
each class contains equal number of observation
each observation in a class is equal to the mid-value
No observation occurs more than once
None of the above
4. Calculation of a mode from grouped data is usually better than from
ungrouped data, because
ungrouped data tend to be bimodal
regardless of the skewness of the distribution, mode for the grouped
data remains same
grouped data is least effected by extreme values
mode is likely to be most representative of the data set
5. Which of the following relationships is true in a symmetrical distribution?
Median Q1 Q3 Median
Median Q1 Q3 Median
Median Q1 Q3 Median
None of the above
BBA/1/CC/03/473 2 Contd.
State whether the following statements are True or False by putting a
Tick mark in the brackets provided 1½×5=7½
6. Exponential smoothing is an example of causal model.
T F
7. A dependent variable in a regression equation is a continuous random
variable.
T F
8. When both variables are measured on an interval or ratio scale, Pearson's
correlation coefficient is most appropriate.
T F
9. The closer the correlation coefficient is to zero, the greater the predictive
validity of a test.
T F
10. Skewness is asymmetry in a statistical distribution, in which the curve
appears distorted or skewed either to the left or to the right.
T F
SECTION—B
Marks 20
Answer the following questions 5×4=20
11. Define and explain the meaning of 'statistics'.
OR
Explain the term 'descriptive statistics'.
12. Write an account on various tools for measuring dispersion.
OR
What is regression analysis?
BBA/1/CC/03/473 3 Contd.
13. What is partial correlation? Explain its application with an illustration.
OR
What is standard error of estimate while doing regression analysis?
14. What are index numbers? How would you make use of indices in business?
OR
Explain the applications of time series analysis in forecasting.
PART B—DESCRIPTIVE
Marks 40
The figures in the margin indicate full marks for the questions
Answer the following questions 10×4=40
15. Statistics plays an important role in business management and social
science studies. Explain in detail.
OR
A survey was conducted to determine the age (in year) of 120 automobiles.
The result of such a survey is as follows
Age of automobile 0-4 4-8 8-12 12-16 16-20
No. of automobile 13 29 48 22 8
Draw a pie chart and a bar diagram from the above information.
16. In a factory employing 3000 persons, earn less than R 150 per day, 580
earn from R 151 to R 200 per day, 30% earn from R 201 to R 250 per day,
500 earn from R 251 to R 300 per day, 20% earn from R 301 to R 350 per
day, and the rest earn R 351 or more per day. What is the median wage?
The value of f is given below
150, 580, 900, 500, 600, 270)
BBA/1/CC/03/473 4 Contd.
OR
The following data give the number of passengers travelling by airplane
from one city to another city in one week
115 122 129 113 119 124 132 120 110 116
Calculate the mean, variance and standard deviation and give a suitable
conclusion.
17. The following table gives indices of industrial production and number of
registered unemployed people (in lakh). Calculate the value of the
correlation coefficient
Year 2010 2011 2012 2013 2014 2015 2016 2017
Index of production 100 102 104 107 105 112 103 99
No. of unemployment 15 12 13 11 12 12 19 26
OR
The following data give the ages and blood pressure of 10 women
Age 56 42 36 47 49 42 60 72 63 55
Blood pressure 147 125 118 128 145 140 155 160 149 150
Determine the least square regression equation of blood pressure on
age.
Estimate the blood pressure of a woman whose age is 45 years.
18. Briefly describe the moving average and least squares method of
measuring trend in time series.
OR
Compute Price Index and Quality Index from data given below by
Laspeyres's method
Items
Base Year Current Year
Qty Price Qty Price
A 6 40 7 30
B 4 45 5 50
C 5 90 1·5 40