B.C.A. (Three Year) DEGREE EXAMINATION, MARCH/APRIL 2017.
(End Semester Examination)
Second Semester
Part II
STATISTICAL METHODS AND THEIR APPLICATIONS
2 C 2501
Time 3 Hours Max. Marks 70
PART — A
Answer any FIVE of the following questions. 4 20 Marks)
1. Explain the methods of collecting primary data.
2. What do you mean by false base line? When it is used?
3. What are different types of averages?
4. Discuss main properties of geometric mean.
5. Explain merits or uses of range.
6. State the relative measures of skewness.
7. What is linear and non-linear correlation?
8. Distinguish between primary and secondary data.
PART — B
Answer ALL the following questions. 10 50 Marks)
9. Present the data by multiple bar diagram.
No. of students
Course 2014 2015 2016
B.A. 420 320 380
B.C.A. 200 240 360
B.B.M. 140 300 480
Or
What is the importance of diagrammatic and graphic representation of data?

10. Find mode for the following data
x 0-5 5-10 10-15 15-20 20-25 25-30 30-35 35-40
f 2 3 10 16 17 8 4 1
Or
Compute the geometric mean for the given data
x 0-10 10-20 20-30 30-40 40-50
f 10 5 8 7 20
11. Compute mean deviation and its co-efficient.
x 100-120 120-140 140-160 160-180 180-200
f 4 6 8 10 5
Or
Compute standard deviation and its co-efficient.
x 0-10 10-20 20-30 30-40 40-50
f 5 15 30 65 80
12. From the following calculate Bowley's coefficient of skewness from the
following data:
Profit (in crores) 10-20 20-30 30-40 40-50 50-60
No. of companies 15 20 30 10 5
Or
Calculate Karl Pearson's coefficient of skewness from the data given below
Marks (less than) 20 30 40 50 60 70 80
No. of students 10 25 40 65 80 85 100
13. Calculate Karl Pearson's coefficient of correlation for the data
Mathematics 20 25 30 35 40 45 50 55 60
Statistics 16 20 23 25 33 38 46 50 55
Or
Calculate coefficient of rank correlation from the following data
X 48 33 40 9 16 16 65 24 16 57
Y 13 13 24 6 15 4 20 9 9 19