Exam Details
Subject | statistical methods | |
Paper | ||
Exam / Course | mba | |
Department | ||
Organization | solapur university | |
Position | ||
Exam Date | November, 2016 | |
City, State | maharashtra, solapur |
Question Paper
M.B.A. I (Semester (CBCS) Examination, 2016
STATISTICAL METHODS (Paper
Day and Date Wednesday, 21-12-2016 Total Marks 70
Time 2.30 p.m. to 5.00 p.m.
Instructions Question No. 1 is compulsory.
Attempt any two questions from Q. Q. 3 and Q. 4.
Attempt any two questions from Q. Q. 6 and Q. 7.
Use graph paper for plotting of graph.
1. The mean and standard deviation of monthly salary (in Rs.) are given below for
two factories A and B.
Factory No. of Employees
Average Monthly
Salary
Standard Deviation of
Monthly Salary
A 100 2500 200
B 125 2800 250
Find the combined mean and combined deviation.
ii) Which factory has better consistent salary structure
2. Attempt any 2
1660 Candidates appeared for a competitive examination. 422 was successful.
256 had attended a coaching class; and of these 150 come out successful.
Estimate the utility of the coaching classes.
Calculate mean deviation from median from following data
Classes 20-25 25-30 30-40 40-45 45-50 50-55 55-60 60-70 70-80
Frequency 6 12 17 30 10 10 8 5 2
Define Normal Distribution. Write down the properties and uses of Normal
Distribution.
P.T.O.
Seat
No.
SLR-T 5
3. Attempt any 2
It has been found that 80% tourists who visit India visit Delhi, 70% of them visit
Mumbai and 60% of them visit both. What is the probability that
A tourist will visit at least one city
ii) Tourist will visit neither city
For the data given below, determine Quartile deviation and coefficient for it.
Class 10-15 15-20 20-25 25-30 30-40 40-50 50-60 60-70
Frequency 4 12 16 22 10 8 6 4
What do you mean by Quartile deviation Discuss merits, demerits and uses
of Q.D.
4. Attempt any 2
Calculate correlation coefficient between the height of sisters and height of
brothers from the data given below
Height of
Sisters (in cm)
64 65 66 67 68 69 70
Height of
Brothers (in cm)
66 67 65 68 70 68 72
Find the missing frequency, if the arithmetic mean is 28 for the given data
below
Classes 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 12 18 27 17 6
Calculate the missing frequencies.
What do you mean by Correlation Explain types of correlation with Scatter
diagram.
SLR-T 5
5. Find the two lines of regression from the following data
Age of
Husband
25 22 28 26 35 20 22 40 20 18
Age of
Wife
18 15 20 17 22 14 16 21 15 14
The age of husband when the age of wife is 19.
ii) The age of wife when the age of husband is 30.
6. Calculate Spearman's Rank Correlation Coefficient for the following data
x 24 29 19 14 30 19 27 30 20 28 11
y 37 35 16 26 23 27 19 20 16 11 21
7. For the data given below, determine value of median by using Formula.
Weight in kg 11-20 21-30 31-40 41-50 51-60 61-70 71-80
No. of Persons 42 38 120 84 48 36 31
Also determine value of median and mode from the graph.
STATISTICAL METHODS (Paper
Day and Date Wednesday, 21-12-2016 Total Marks 70
Time 2.30 p.m. to 5.00 p.m.
Instructions Question No. 1 is compulsory.
Attempt any two questions from Q. Q. 3 and Q. 4.
Attempt any two questions from Q. Q. 6 and Q. 7.
Use graph paper for plotting of graph.
1. The mean and standard deviation of monthly salary (in Rs.) are given below for
two factories A and B.
Factory No. of Employees
Average Monthly
Salary
Standard Deviation of
Monthly Salary
A 100 2500 200
B 125 2800 250
Find the combined mean and combined deviation.
ii) Which factory has better consistent salary structure
2. Attempt any 2
1660 Candidates appeared for a competitive examination. 422 was successful.
256 had attended a coaching class; and of these 150 come out successful.
Estimate the utility of the coaching classes.
Calculate mean deviation from median from following data
Classes 20-25 25-30 30-40 40-45 45-50 50-55 55-60 60-70 70-80
Frequency 6 12 17 30 10 10 8 5 2
Define Normal Distribution. Write down the properties and uses of Normal
Distribution.
P.T.O.
Seat
No.
SLR-T 5
3. Attempt any 2
It has been found that 80% tourists who visit India visit Delhi, 70% of them visit
Mumbai and 60% of them visit both. What is the probability that
A tourist will visit at least one city
ii) Tourist will visit neither city
For the data given below, determine Quartile deviation and coefficient for it.
Class 10-15 15-20 20-25 25-30 30-40 40-50 50-60 60-70
Frequency 4 12 16 22 10 8 6 4
What do you mean by Quartile deviation Discuss merits, demerits and uses
of Q.D.
4. Attempt any 2
Calculate correlation coefficient between the height of sisters and height of
brothers from the data given below
Height of
Sisters (in cm)
64 65 66 67 68 69 70
Height of
Brothers (in cm)
66 67 65 68 70 68 72
Find the missing frequency, if the arithmetic mean is 28 for the given data
below
Classes 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 12 18 27 17 6
Calculate the missing frequencies.
What do you mean by Correlation Explain types of correlation with Scatter
diagram.
SLR-T 5
5. Find the two lines of regression from the following data
Age of
Husband
25 22 28 26 35 20 22 40 20 18
Age of
Wife
18 15 20 17 22 14 16 21 15 14
The age of husband when the age of wife is 19.
ii) The age of wife when the age of husband is 30.
6. Calculate Spearman's Rank Correlation Coefficient for the following data
x 24 29 19 14 30 19 27 30 20 28 11
y 37 35 16 26 23 27 19 20 16 11 21
7. For the data given below, determine value of median by using Formula.
Weight in kg 11-20 21-30 31-40 41-50 51-60 61-70 71-80
No. of Persons 42 38 120 84 48 36 31
Also determine value of median and mode from the graph.
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