B.C.A. (Three Year) DEGREE EXAMINATION, MARCH/APRIL 2018.
(End Semester Examination)
Second Semester
Part II
(Regular Supplementary)
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. Distinguish between classification and Tabulation.
3. Obtain the formula for mode with the help of a graph.
4. Explain median.
5. What are the use of measure of central tendency?
6. Obtain the limits for Karl Pearson's coefficient of Skewness.
7. Define Karl Pearson coefficient of correlation.
8. Write various formulae for calculating mean deviation.
PART — B
Answer ALL the following questions. 10 50 Marks)
9. Define classification and what are the various types of classification.
Or
Describe the Graphic representation of a statistical data. Also give its
advantages and disadvantages.

10. Obtain Arithmetic mean to the following frequency distribution.
C.I. 0-10 10-20 20-30 30-40 40-50 50-60
Frequency 7 11 21 27 19 12
Or
Calculate the mode of the following data.
Wages in Rs. 0-20 20-40 40-60 60-80 80-100
Workers: 10 15 40 25 10
11. Discuss the importance of standard deviation and find the standard deviation
of 14, 15, 16, 17, 18, 19, 20.
Or
Compute mean deviation and its co-efficient.
x 100-120 120-140 140-160 160-180 180-200
f 4 6 8 10 5
12. What do you understand by Skewness? How it is measured? Distinguish
between positive and negative skewness with drawings.
Or
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
13. Use deviation method to calculate correlation coefficient for the following
data.
X 17 19 21 26 20 28 26 27
Y 23 27 25 26 27 25 30 33
Or
Calculate rank correlation coefficient from the following data.
X 75 88 75 95 70 60 80 70 50
Y 120 134 120 115 150 140 150 142 100