DISTANCE EDUCATION
M.Com. DEGREE EXAMINATION, MAY 2016.
QUANTITATIVE TECHNIQUES
(2005 Onwards)
Time Three hours Maximum 100 marks
SECTION A — 8 40 marks)
Answer any FIVE questions.
All questions carry equal marks.
1. Describe a frequency distribution. Give an example of a
frequency distribution in which the variable is
discrete,
continuous
2. Find the mean, median and mode for the following data
and verify the empirical relation.
Class 1-10 11-20 21-30 31-40 41-50 51-60 61-70 71-80 81-90 91-100
Frequency 3 7 13 17 12 10 8 8 6 6
3. Define standard deviation and discuss its importance.
4. An integer is chosen at random out of the integers from 1
to 100. What is the probability that, it is multiple of
divisible by greater than 70?
5. Random samples drawn from two countries gave the
following data relating to the heights of adult males.
Country A Country B
Mean height (inches) 67.42 67.25
Standard deviation (inches) 2.58 2.50
Number in samples 1000 1200
Is the difference between the standard deviations
significant?
Sub. Code
14
DE-3577
2
sp4
6. In a partially destroyed records the following data are
available: Variance of X 25. Regression equation Y on X
is 64X 45Y 24. Regression equation X on Y is
5X Y 22. Find, Mean value of X and Y
coefficient of correlation between X and Y standard
deviation of Y.
7. Explain the limitations of decision theory.
8. Mention the sources of secondary data.
SECTION B — × 15 60 marks)
Answer any FOUR questions.
All questions carry equal marks.
9. State the various methods of collecting primary data and
comment on their relative merits.
10. Find the quartiles from the following distribution
Age (years) below 20 20-25 25-30 30-35 35-40 40-45 45-50 50 and above
No.of employees 13 9 46 60 112 94 45 21
11. The scores of two players A and B in 12 rounds are given
below:
A 74 75 78 72 78 77 79 81 79 76 72 71
B 87 84 80 88 89 85 86 82 82 79 86 80
Identify the better player and the more consistent player.
12. Ten coins are tossed simultaneously. Find the probability
of getting
at least seven heads
exactly seven heads
atmost seven heads.
DE-3577
3
sp4
13. The means of two single large samples of 1000 and 2000
members are 67.5 inches and 68.0 inches respectively.
Can the samples be regarded as drawn, from the sample
population of standard deviation 2.5 inches? Test at
level of significance).
14. The following table gives aptitude score and productivity
indices of 8 randomly selected workers
Aptitude score 57 58 59 59 60 61 62 64
Productivity index 67 68 65 68 72 72 69 71
Calculate the correlation co-efficient between
aptitude score and productivity index.
Estimate the productivity index of a worker whose
test score is 65.
15. Briefly explain the different decision rules usually
adopted in context of decision making under conditions of
uncertainty.