GAYATRI VIDYA PARISHAD COLLEGE FOR DEGREE & P.G COURSES
(A)
I Year B.Sc. (STATISTICS)
Semester – I, STATISTICS : MODEL PAPER
Paper-I: Descriptive Statistics
(With
effect from 2020-21)
Date: Max.
Marks: 75
TIME:3 Hrs
SECTION-A
I. Answer the following questions 5× 10 = 50 M
1. (a).Explain the method of constructing
Histogram and Frequency Polygon
(OR)
(b).Describe the different methods of central
tendency of a frequency distribution,
mentioning their merits and demerits.
2. (a).What do you understand by skewness? How is
it measured?
(OR)
(b).Explain
the main difference between mean deviation and standard deviation.
3.
(a).Derive the Spearmen's correlation coefficient formula, when there are no ties.
(OR)
(b) Explain how to fit a second degree
parabola to the given n data points.
4. (a)
Distinguish between correlation and
regression
(OR)
(b) Explain the properties of
regression coefficients.
5. (a)
Derive the conditions of consistency of data for 3 attributes
(OR)
(b)
Derive the relationship between Yule's coefficient of association (Q) and Yule's coefficient
of colligation (Y)
I II. Answer the following five
questions. 5×3=15 M
6. What are the properties of good
average?
7. Karl Person coefficient of
skewness of a distribution is 0.32, Standard deviation is 6.5
and mean is 29.6. Find the mode of the distribution.
8. The mean of 5 observations is 4.4
and variance is 8.24. If there of five observations are
1, 2 and 6. Find the other two.
9. Derive the relationship between
central moments in terms of raw moments.
10. Write a short note on partial and
multiple correlations
11. Write a note on Method of least
squares.
12. Regression equations
8X-10Y+66=0 and 4X-18Y=214,
find
the mean values of X and Y
13. Explain Tschprow's coefficient of
contingency
SECTION-C
I III. Answer all the following questions. 5×2=10 M
14. Define primary and secondary data
15. Define Kurtosis.
16. Define scatter diagram
17. Explain what are regression lines
18. State the conditions for
independence of attributes
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