Exam Details
| Subject | statistical methods | |
| Paper | ||
| Exam / Course | mba | |
| Department | ||
| Organization | solapur university | |
| Position | ||
| Exam Date | May, 2017 | |
| City, State | maharashtra, solapur |
Question Paper
MBA I (Semester (CBCS) Examination, 2017
STATISTICAL METHODS (Paper
Day and Date Tuesday, 9-5-2017 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.
All questions carry equal marks.
1. Particulars regarding income of two villages are given below
Village
A B
No. of People 600 600
Average Income 175 186
Variance of Income 100
SD of Income 9
In which village is the variation in income greater
ii) What is the average income of the people of both the villages put together
iii) What is the combined standard deviation
2. Write a short note on (any two)
Mean, Median and Mode.
Calculate coefficient of correlation from following data
X 12 9 8 10 1 13 7
Y 14 8 6 9 11 12 3
Eighty eight residence of an Indian city, who were interviewed during a sample
survey and classified below according to their smoking and tea drinking
habits. Calculate Yule's coefficient of Association and comment on its value.
Smokers Non-smokers
Drinking tea 40 33
Non-drinking 3 12
3. Write a short note on (any two)
Probability Distribution
The following table gives the distribution of daily wages of 900 workers.
However the frequency of 40-50 and 60-70 classes are missing. Find the
missing frequency if median is 59.25.
x 30-40 40-50 50-60 60-70 70-80
f 130 200 185
Find upper and lower quartile and calculate quartile deviation from given data.
Class-Interval No. of Students Class-Interval No. of Students
Below 25 7 50-55 13
25-30 12 55-60 24
30-35 15 60-65 13
35-40 18 65-70 13
40-45 25 70-75 21
45-50 33 75-100 23
4. Write a short note on (any two)
Permutation and Combinations.
Calculate coefficient of mean deviation from the median from following data
Size of Item 4 6 8 10 12 14 16
Frequency 2 1 3 6 4 3 1
SLR-M 5
A company uses a selling aptitude test in the selection of salesman. Past
experience has shown that only 70% of all persons applying for a sales position
achieved a classification "dissatisfactory" in actual selling whereas the remainder
was classified as "satisfactory", 85% had scored a passing grade on the aptitude
test. Only 25% of those classified unsatisfactory had passed the test on the
basis of this information. What is the probability that a candidate would be a
satisfactory salesman given that he passed the aptitude test
5. Draw the histogram and superimpose polygon on following data and present the
mode by graphical and calculation method also.
Score (mid-value) Frequency Score (mid-value) Frequency
60 1 85 5
65 2 90 3
70 6 95 2
75 9 100 1
80 7
6. Find two regression equations from 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
Hence Estimate The age of Husband when the age of wife is 19 and
ii) The age of wife when the age of husband is 30.
7. The competitors in a test are ranked by three judges in the following order. Use
the rank correlation coefficient to discuss which pair of judges has the nearest
approach in test.
Entry 1 2 3 4 5 6 7 8 9 10
Judge I 1 5 4 8 9 6 10 7 3 2
Judge II 4 8 7 6 5 9 10 3 2 1
Judge III 6 7 8 1 5 10 9 2 3 4
STATISTICAL METHODS (Paper
Day and Date Tuesday, 9-5-2017 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.
All questions carry equal marks.
1. Particulars regarding income of two villages are given below
Village
A B
No. of People 600 600
Average Income 175 186
Variance of Income 100
SD of Income 9
In which village is the variation in income greater
ii) What is the average income of the people of both the villages put together
iii) What is the combined standard deviation
2. Write a short note on (any two)
Mean, Median and Mode.
Calculate coefficient of correlation from following data
X 12 9 8 10 1 13 7
Y 14 8 6 9 11 12 3
Eighty eight residence of an Indian city, who were interviewed during a sample
survey and classified below according to their smoking and tea drinking
habits. Calculate Yule's coefficient of Association and comment on its value.
Smokers Non-smokers
Drinking tea 40 33
Non-drinking 3 12
3. Write a short note on (any two)
Probability Distribution
The following table gives the distribution of daily wages of 900 workers.
However the frequency of 40-50 and 60-70 classes are missing. Find the
missing frequency if median is 59.25.
x 30-40 40-50 50-60 60-70 70-80
f 130 200 185
Find upper and lower quartile and calculate quartile deviation from given data.
Class-Interval No. of Students Class-Interval No. of Students
Below 25 7 50-55 13
25-30 12 55-60 24
30-35 15 60-65 13
35-40 18 65-70 13
40-45 25 70-75 21
45-50 33 75-100 23
4. Write a short note on (any two)
Permutation and Combinations.
Calculate coefficient of mean deviation from the median from following data
Size of Item 4 6 8 10 12 14 16
Frequency 2 1 3 6 4 3 1
SLR-M 5
A company uses a selling aptitude test in the selection of salesman. Past
experience has shown that only 70% of all persons applying for a sales position
achieved a classification "dissatisfactory" in actual selling whereas the remainder
was classified as "satisfactory", 85% had scored a passing grade on the aptitude
test. Only 25% of those classified unsatisfactory had passed the test on the
basis of this information. What is the probability that a candidate would be a
satisfactory salesman given that he passed the aptitude test
5. Draw the histogram and superimpose polygon on following data and present the
mode by graphical and calculation method also.
Score (mid-value) Frequency Score (mid-value) Frequency
60 1 85 5
65 2 90 3
70 6 95 2
75 9 100 1
80 7
6. Find two regression equations from 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
Hence Estimate The age of Husband when the age of wife is 19 and
ii) The age of wife when the age of husband is 30.
7. The competitors in a test are ranked by three judges in the following order. Use
the rank correlation coefficient to discuss which pair of judges has the nearest
approach in test.
Entry 1 2 3 4 5 6 7 8 9 10
Judge I 1 5 4 8 9 6 10 7 3 2
Judge II 4 8 7 6 5 9 10 3 2 1
Judge III 6 7 8 1 5 10 9 2 3 4
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- global human resource management
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- managerial economics
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- marketing management
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- operations management
- organisational behaviour
- organizational behaviour
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