Download PTU (I.K. Gujral Punjab Technical University Jalandhar (IKGPTU) M.Com 2020 March (Master of Commerce) 1st Sem 75335 Statistical Analysisquantitative Techniques Previous Question Paper
Roll No. Total No. of Pages : 03
Total No. of Questions : 17
M.Com. (2018 & Onwards) (Sem.?1)
STATISTICAL ANALYSIS/QUANTITATIVE TECHNIQUES
Subject Code : MCOP-103-18
M.Code : 75335
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY and consist of ONE Case Study carrying TWELVE
marks.
SECTION-A
1. What is central tendency ?
2. What is Skewness ?
3. What is multiple correlation ?
4. Define conditional probability.
5. Define Binomial Distribution.
6. Differentiate between Transportation and Assignment problems.
7. Define Regression Coefficient.
8. Define CPM.
SECTION-B
UNIT-I
9. What are functions of statistics? Compare various measures of variation.
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1 | M-75335 (S32)-1140
Roll No. Total No. of Pages : 03
Total No. of Questions : 17
M.Com. (2018 & Onwards) (Sem.?1)
STATISTICAL ANALYSIS/QUANTITATIVE TECHNIQUES
Subject Code : MCOP-103-18
M.Code : 75335
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY and consist of ONE Case Study carrying TWELVE
marks.
SECTION-A
1. What is central tendency ?
2. What is Skewness ?
3. What is multiple correlation ?
4. Define conditional probability.
5. Define Binomial Distribution.
6. Differentiate between Transportation and Assignment problems.
7. Define Regression Coefficient.
8. Define CPM.
SECTION-B
UNIT-I
9. What are functions of statistics? Compare various measures of variation.
2 | M-75335 (S32)-1140
10. The scores of two batsman A and B in ten innings during a certain season are :
A 32 28 47 63 71 39 10 60 96 14
B 19 31 48 51 67 0 10 62 40 80
Find (using coefficient of variation) which of the two batsman, A or B, is more consistent
in scoring.
UNIT-II
11. The following table gives the distribution of items of production and also the relatively
defective items among them, according to size-groups. Find the correlation coefficient
between sizes and defect in quality and its probable error;
Size-group 15-16 16-17 17-18 18-19 19-20 20-21
No. of items 200 270 340 360 400 300
No. of defective items 150 162 170 180 180 114
12. The following table shows the ages (X) and blood pressure (Y) of 8 persons.
X 52 63 45 36 72 65 47 25
Y 62 53 51 25 79 43 60 33
Obtain the regression equation of Y on X and find the expected blood pressure of a
person who is 49 years old.
UNIT-III
13. Compare Binomial Distribution, Poission Distribution and Normal Distribution with their
properties and applications.
14. Use the graphical method for solving the following game and find the value of the game :
Player A Player B
B1 B2 B3 B4
A1 2 2 3 ?2
A2 4 3 2 6
UNIT-IV
15. Solve the following transportation problem using Vogel?s Approximation Method :
Demand (D)/Supply(S) D1 D2 D3 D4 Capacity
S1 19 30 50 10 7
S2 70 30 40 60 9
S3 40 8 70 20 18
Demand 5 8 7 14 34
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1 | M-75335 (S32)-1140
Roll No. Total No. of Pages : 03
Total No. of Questions : 17
M.Com. (2018 & Onwards) (Sem.?1)
STATISTICAL ANALYSIS/QUANTITATIVE TECHNIQUES
Subject Code : MCOP-103-18
M.Code : 75335
Time : 3 Hrs. Max. Marks : 60
INSTRUCTIONS TO CANDIDATES :
1. SECTION-A contains EIGHT questions carrying TWO marks each and students
has to attempt ALL questions.
2. SECTION-B consists of FOUR Subsections : Units-I, II, III & IV. Each Subsection
contains TWO questions each carrying EIGHT marks each and student has to
attempt any ONE question from each Subsection.
3. SECTION-C is COMPULSORY and consist of ONE Case Study carrying TWELVE
marks.
SECTION-A
1. What is central tendency ?
2. What is Skewness ?
3. What is multiple correlation ?
4. Define conditional probability.
5. Define Binomial Distribution.
6. Differentiate between Transportation and Assignment problems.
7. Define Regression Coefficient.
8. Define CPM.
SECTION-B
UNIT-I
9. What are functions of statistics? Compare various measures of variation.
2 | M-75335 (S32)-1140
10. The scores of two batsman A and B in ten innings during a certain season are :
A 32 28 47 63 71 39 10 60 96 14
B 19 31 48 51 67 0 10 62 40 80
Find (using coefficient of variation) which of the two batsman, A or B, is more consistent
in scoring.
UNIT-II
11. The following table gives the distribution of items of production and also the relatively
defective items among them, according to size-groups. Find the correlation coefficient
between sizes and defect in quality and its probable error;
Size-group 15-16 16-17 17-18 18-19 19-20 20-21
No. of items 200 270 340 360 400 300
No. of defective items 150 162 170 180 180 114
12. The following table shows the ages (X) and blood pressure (Y) of 8 persons.
X 52 63 45 36 72 65 47 25
Y 62 53 51 25 79 43 60 33
Obtain the regression equation of Y on X and find the expected blood pressure of a
person who is 49 years old.
UNIT-III
13. Compare Binomial Distribution, Poission Distribution and Normal Distribution with their
properties and applications.
14. Use the graphical method for solving the following game and find the value of the game :
Player A Player B
B1 B2 B3 B4
A1 2 2 3 ?2
A2 4 3 2 6
UNIT-IV
15. Solve the following transportation problem using Vogel?s Approximation Method :
Demand (D)/Supply(S) D1 D2 D3 D4 Capacity
S1 19 30 50 10 7
S2 70 30 40 60 9
S3 40 8 70 20 18
Demand 5 8 7 14 34
3 | M-75335 (S32)-1140
16. A solicitors? firm employs typists on hourly piece-rate basis for their daily work. There
are five typists and their charges and speeds are different. According to an earlier
understanding only one job was given to one typist and the typist was paid for a full hour,
even if he worked for a fraction of an hour. Find the least cost allocation for the following
data :
Typist Rate/hour (Rs.)
No. of Pages
Typed/Hour
Job No. of Pages
A 5 12 P 199
B 6 14 Q 175
C 3 8 R 145
D 4 10 S 28
E 4 11 T 178
SECTION-C
17. Solve the following case study :
A small petroleum company own two refineries. Refinery A costs $20,000 per day to
operate and it produces 400 barrels of high-grade oil, 300 barrels of medium-grade oil,
and 200 barrels of low-grade oil per day. Refinery B uses latest technology and costs
$25,000 per day. It can produce 300 barrels of high-grade oil, 400 barrels of medium-
grade oil and 500 barrels of low grade oil each day. The company has orders, totaling
25,000 barrels of high grade oil, 27,000 barrels of medium-grade oil, and 30,000 barrels
of low-grade oil.
Question :
How many days should it run each refinery to minimize its costs and still refine enough
of oil to meet its orders?
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 31 March 2020