DISTANCE EDUCATION
M.Com. DEGREE EXAMINATION,
DECEMBER 2017.
QUANTITATIVE TECHNIQUES
(2005 onwards)
Time Three hours Maximum 100 marks
SECTION A — × 8 40 marks)
Answer any FIVE questions.
1. Define classification of data. State any four primary rules
that should be observed while classifying a data.
2. Calculate Median and Mode for the following
distribution:
Production per day
(in tons)
21-22 23-24 25-26 27-28 29-30
No. of days 7 13 22 10 8
3. Calculate the standard deviation of the following
distribution:
Age in years 20-30 30-40 40-50 50-60 60-70 70-80 80-90
No of Marks 3 61 132 153 140 51 2
4. State the additional and multiplication theorem of
probability.
5. Two dice are tossed, what is the probability that total is
divisible by 3 or
Sub. Code
14
DE-2693
2
Ws3
6. A machine produced 20 defective articles in a batch of
400. After overhauling, it produced 10 defectives in a
batch of 300. Has the machine improved?
SECTION B — × 15 60 marks)
Answer any FOUR questions.
9. Explain the concept and uses of quantitative techniques.
10. Find the first quartile, third quartile and median of the
following distribution:
Height (in inches) 58 59 60 61 62 63 64 65 66
No of persons 2 3 6 15 10 5 4 3 1
11. A student obtained the mean and standard deviation of
100 observations as 40 and 5.1 respectively. It was later
discovered that he had wrongly copied down an
observation 50 instead of 40. Calculate the correct mean
and standard deviation.
12. At a certain examination, 10% of the students who
appeared for the paper in statistics got less than
30 marks and 97% of the student got less than 62 marks.
Assuming the distribution to be normal, find the mean
and the standard deviation of the distribution.
DE-2693
3
Ws3
13. From the table given below, find whether the colour of
son's eyes is associated with that of father's eyes.
Eyes colours in sons
Not light Light
Not light 230 148
Eyes colours
in Fathers
Light 151 471
14. Define the term correlation. Explain the concept of
positive and negative correlation with example.
15. Find the two lines of regression from the following data:
X 158 160 163 165 167 170 172 175 177 181
Y 163 158 167 170 160 180 170 175 172 175
Estimate when X 164.
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