DISTANCE EDUCATION
M.Com. DEGREE EXAMINATION, MAY 2017.
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. Explain the uses of quantitative techniques.
2. State the kinds of charts and their implications.
3. Calculate arithmetic mean, and mode for the following
data
Variable 10-13 13-16 16-19 19-22 22-25
Frequency 8 15 27 51 75
Variable 25-28 28-31 31-34 34-37 37-40
Frequency 54 36 18 9 7
4. Find Bowley's co-efficient of skewness for the following
data.
Profit in lakhs) Less than 10 20 30 40 50 60 70
No. of cos. 8 20 40 50 56 59 60
Sub. Code
14
DE-390
2
WK 6
5. A bag contains 5 white and 3 black balls. Two balls are
drawn at random one after another without replacement.
Find the probability that both balls drawn are black.
6. A coin was tossed 400 times and the head turned up
216 times. Test the hypothesis that the coin is tossed.
7. Is regression technique applied to investment decisions?
Discuss.
8. Explain the terms risk and uncertainty.
SECTION B — × 15 60 marks)
Answer any FOUR questions.
9. Enumerate the points to be borne in mind while
constructing discrete and continuous frequency
distribution.
10. Explain the various measures of central tendency. Point
out their uses.
11. Calculate co-efficient of variation for the following data.
Age (years) 25-30 30-35 35-40 40-45 45-50 50-55
No. of workers 70 51 47 31 29 22
12. In a certain factory manufacturing razor blades, there is
a small chance 1/50 for any blade to be defective. The
blades are placed in pockets, each containing 10 blades.
Using the poisson distribution, calculate the approximate
number of pockets containing not more than 2 defective
blades in a consignment of 10,000 pockets.
13. What is normal distribution? State its properties.
DE-390
3
WK 6
14. A sample of size 25 yielded mean equal 1 to 33 and
estimated variance equal to 100. At the level would
we have reasons to doubt the claim that the population
mean is not greater than 27?
15. What is linear programming? Explain its features and
limitations.