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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
B.Sc.DEGREE EXAMINATION -STATISTICS
FIRST SEMESTER APRIL 2018
16UST1MC01 ST 1502 STATISTICAL METHODS
Date: 25-04-2018 Dept. No. Max. 100 Marks
Time: 01:00-04:00
PART A
Answer ALL the questions (10 x 2 20 marks)
1. Define Statistics.
2. Write down any 2 limitations of Statistics
3. A sample of size 15 has mean 3.5 and Standard deviation 3.0. Another sample of size 22 has mean 4.7 and Standard deviation 4.0. Find the combined mean and the combined S.D.
4. When the distribution is symmetric what is the value of
5. You are given Mean 50, C.V 40% SK= -0.4. Find the standard deviation.
6. Write the formula for spearman's correlation.
7. Given information N 50, Mean of Y 44, variance of X is 9/16 of the variance of Y. Regression Equation of X on Y 3Y 5X -180
Find the coefficient of correlation between X and
8. Write down any 2 merits of Arithmetic mean.
9. For two attributes A and we have 35 55 N 100
20. Calculate the Yule's coefficient of association.
10. Explain Kurtosis.
PART B
Answer any FIVE questions x 8 40 marks)
11. Point out the various methods of classifying statistical data.
12. Explain the measures of dispersion.
13. Calculate the Geometric mean for the following data
Yield of wheat
No. of farms
7.5-10.5
5
10.5-13.5
9
13.5 16.5
19
16.5 19.5
23
2
19.5 22.5
7
22.5 25.5
4
25.5 28.5
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14. In a small town, a survey was conducted in respect of profits made by retail shops. The following results
were obtained. Calculate the average profit made by a retail shop, total profit by all shop and
the coefficient of variation of earnings.
Profit Rs
No. of shops
to
4
to
10
to
22
to 0
28
0 to 1
38
1 to 2
56
2 to 3
40
3 to 4
24
4 to 5
18
5 to 6
10
15. Explain briefly the fitting of growth curves.
16. Explain scatter diagram.
17. You are given the following results for the heights and weights of 1,000 workers of factory:
Mean of X 68 inches
Standard deviation of X 2.5 inches
Mean of Y 150 lbs
Standard deviation of Y 20lbs
Correlation coefficient r 0.6
Estimate the weight of a particular factory worker who is 5 feet tall
the height of a particular factory worker whose weight is 200 lbs.
18. From the following data prepare 2 x 2 table and using Yule's coefficient of association, discuss whether
there is association between literacy and unemployment.
Illiterate unemployment 220 persons
Literate employed 20 persons
Illiterate employed 180 persons
Total number of persons 500
PART C
Answer any TWO questions x 20 40 marks)
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19. Prepare a questionnaire to conduct survey for the necessity of NEET exam in Medical courses in our
country. (Minimum 20 questions) 20 marks
20. Diagrams helps us to visualize the whole meaning of a numerical data at a glance comment 10 marks
The frequency distribution of weight in grams of mangoes of a given variety is given below.
Calculate the arithmetic mean, median, and mode
Weight (in gms)
No. of mangoes
410-419
14
420-429
20
430-439
42
440-449
54
450-459
45
460-469
18
470-479
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21. The following table gives the sterling assets of the R.B.I in crores of rupees:
Represent the data graphically
Fit a straight line trend
Show the trend on the graph
Also estimate the figures for 2011
Year
2001
2002
2003
2004
2005
2006
Asset
83
92
71
90
169
191
22. Calculate Pearson's coefficient of correlation from the following data.
X
45
55
56
58
60
65
68
70
75
80
85
Y
56
50
48
60
62
64
65
70
74
82
90
Write down the relation between correlation and regression analysis.