Solapur University Question Paper
M.B.A. – I (Semester – I) Examination, 2014
STATISTICAL METHODS (Paper – V)
Day and Date : Saturday, 31-5-2014 Max. Marks : 70
Time : 3.00 p.m. to 6.00 p.m.
Instructions : 1) Question No. 1 is compulsory.
2) Attempt any two questions from Q.2, Q.3 and Q.4.
3) Attempt any two questions from Q.5 Q.6 and Q.7.
4) Use graph paper for plotting of graph.
1. The following table shows that monthly expenditure of 80 employees of company
on morning breakfast. 14
Expenditure (Rs.) No. of Employees
78 − 82 2
73 −77 6
68 − 72 7
63 − 67 12
58 − 62 18
33 − 37 2
38 − 42 4
43 − 47 7
48 − 52 9
53 − 57 13
Calculate Arithmetic Mean, Standard Deviation (SD) and Coefficient of Variation
and Coefficient of Range.
Seat
No.
SLR-XY – 5 -2-
2. Solve any two. 14
A) Find the mean deviation from
i) mean and
ii) median for the following data.
Wages 20 18 16 14 12 10 8 6
No. of Employees 2 4 9 18 27 25 14 1
B) Calculate Quartile deviation of dispersion from the following data.
Income Less than 35 35 − 37 38 − 40 41 − 43 43 above
No. of person 14 62 99 18 7
C) What do you mean by statistics ? Describe various applications of statistics.
3. Solve any two. 14
A) Suppose on an average 1 house in 1000 in a certain district has a fire during
a year. If there are 2000 houses in that district what is the probability that
exactly 5 houses will have a fire during the year. Apply the Poisson
distribution.
B) The following data refers to the dividend (%) paid by two company A and B
over the last seven years. Calculate the coefficient of variation and comment.
A 4 8 4 15 10 11 9
B 12 8 3 15 6 4 10
C) Write a note on characteristics of mean, median and mode.
-3- SLR-XY – 5
4. Solve any two. 14
A) Calculate Pearson’s coefficient of correlation between the indices of wages
and cost of living from the following data :
Wages 100 101 102 102 100 99 97 98 96 95
Cost of
living 98 99 99 97 95 92 95 94 90 91
B) What is normal distribution ? Point out its important properties. Fit Binomial
Distribution of the following data :
X 01 2 3 4
F 28 62 45 10 4
C) What is correlation ? Explain various types of correlation.
5. An incomplete distribution is given below. 14
Variable Frequency
0 − 10 10
10 − 20 20
20 − 30 35
30 − 40 40
40 − 50 ?
50 − 60 25
60 − 70 15
You are given that median value is 35 and total frequency is 170.
i) Find out missing frequency.
ii) Calculate the arithmetic mean, mode and quartile deviation of the completed
table.
SLR-XY – 5 -4-
6. Below is given the frequency distribution of weights of 60 employees of a
company. 14
Weight in Kg No. of Employees
30 − 35 3
35 − 40 5
40 − 45 12
45 − 50 18
50 − 55 14
55 − 60 6
60 − 65 2
a) Draw histogram for this distribution and find the modal value.
b) Prepare less than cumulative frequency find the median.
c) Represent them graphically using ogive curve.
7. From the following table the ages (x) and the blood pressure (y) of patients. 14
X 52 63 45 36 72 65 47 25
Y 62 53 51 25 79 43 60 33
i) Obtain the regression of y on x and x on y.
ii) Find the expected blood pressure of a patient who is 49 years old.
iii) Calculate correlation coefficient.
__________________
M.B.A. – I (Semester – I) Examination, 2014
STATISTICAL METHODS (Paper – V)
Day and Date : Saturday, 31-5-2014 Max. Marks : 70
Time : 3.00 p.m. to 6.00 p.m.
Instructions : 1) Question No. 1 is compulsory.
2) Attempt any two questions from Q.2, Q.3 and Q.4.
3) Attempt any two questions from Q.5 Q.6 and Q.7.
4) Use graph paper for plotting of graph.
1. The following table shows that monthly expenditure of 80 employees of company
on morning breakfast. 14
Expenditure (Rs.) No. of Employees
78 − 82 2
73 −77 6
68 − 72 7
63 − 67 12
58 − 62 18
33 − 37 2
38 − 42 4
43 − 47 7
48 − 52 9
53 − 57 13
Calculate Arithmetic Mean, Standard Deviation (SD) and Coefficient of Variation
and Coefficient of Range.
Seat
No.
SLR-XY – 5 -2-
2. Solve any two. 14
A) Find the mean deviation from
i) mean and
ii) median for the following data.
Wages 20 18 16 14 12 10 8 6
No. of Employees 2 4 9 18 27 25 14 1
B) Calculate Quartile deviation of dispersion from the following data.
Income Less than 35 35 − 37 38 − 40 41 − 43 43 above
No. of person 14 62 99 18 7
C) What do you mean by statistics ? Describe various applications of statistics.
3. Solve any two. 14
A) Suppose on an average 1 house in 1000 in a certain district has a fire during
a year. If there are 2000 houses in that district what is the probability that
exactly 5 houses will have a fire during the year. Apply the Poisson
distribution.
B) The following data refers to the dividend (%) paid by two company A and B
over the last seven years. Calculate the coefficient of variation and comment.
A 4 8 4 15 10 11 9
B 12 8 3 15 6 4 10
C) Write a note on characteristics of mean, median and mode.
-3- SLR-XY – 5
4. Solve any two. 14
A) Calculate Pearson’s coefficient of correlation between the indices of wages
and cost of living from the following data :
Wages 100 101 102 102 100 99 97 98 96 95
Cost of
living 98 99 99 97 95 92 95 94 90 91
B) What is normal distribution ? Point out its important properties. Fit Binomial
Distribution of the following data :
X 01 2 3 4
F 28 62 45 10 4
C) What is correlation ? Explain various types of correlation.
5. An incomplete distribution is given below. 14
Variable Frequency
0 − 10 10
10 − 20 20
20 − 30 35
30 − 40 40
40 − 50 ?
50 − 60 25
60 − 70 15
You are given that median value is 35 and total frequency is 170.
i) Find out missing frequency.
ii) Calculate the arithmetic mean, mode and quartile deviation of the completed
table.
SLR-XY – 5 -4-
6. Below is given the frequency distribution of weights of 60 employees of a
company. 14
Weight in Kg No. of Employees
30 − 35 3
35 − 40 5
40 − 45 12
45 − 50 18
50 − 55 14
55 − 60 6
60 − 65 2
a) Draw histogram for this distribution and find the modal value.
b) Prepare less than cumulative frequency find the median.
c) Represent them graphically using ogive curve.
7. From the following table the ages (x) and the blood pressure (y) of patients. 14
X 52 63 45 36 72 65 47 25
Y 62 53 51 25 79 43 60 33
i) Obtain the regression of y on x and x on y.
ii) Find the expected blood pressure of a patient who is 49 years old.
iii) Calculate correlation coefficient.
__________________
0 comments:
Pen down your valuable important comments below