1
LOYOLA COLLEGE (AUTONOMOUS), CHENNAI 600 034
B.Com.DEGREE EXAMINATION CORPORATE SECRETARYSHIP
FIRSTSEMESTER APRIL 2018
17/16UST1AL02- FUNDAMENTALS OF STATISTICS
Date: 30-04-2018 Dept. No. Max. 100 Marks
Time: 01:00-04:00
SECTION A
Answer ALL questions (10X 2 20 Marks)
1. Define Statistics
2. How does a systematic sample differ from a simple random sample?
3. What is Histogram?
4. What are the various methods of measuring central tendency?
5. The mean of 200 items was 50. Later on it was discovered that two items were misread as 92 and 8 instead of 192 and 88. Find out the correct mean.
6. Define range and its coefficients.
7. Define kurtosis
8. What are the limitations of regression analysis?
9. Write the various methods of measuring the trend.
10. What is index number?
SECTION B
Answer any FIVE questions: (5X 8 40Marks)
11.a) Explain the Limitations and Misuses of Statistics. Marks
Explain the various sampling methods.
12.Explain the various Measures of Dispersion.
13. Calculate the value of Median for the following data:
Class Interval
21 30
31 40
41 50
51 60
61 70
71 80
81- 90
Frequency
69
67
50
65
58
27
30
14. The following are the details of two shares. Comment on the consistency of the two shares.
15. Calculate Quartile Deviation and its coefficient for the following data:
X
22
25
20
18
30
36
24
f
4
7
6
3
5
2
10
16.Calculate co efficient of correlation for the following data.
17.Explain the various components of time series.
Share X
36
55
52
53
58
60
48
50
40
49
Share Y
108
107
105
105
102
108
104
103
107
101 AGE 43 21 25 42 57 59 GLUCOSE LEVEL 99 65 79 75 87 81
2
18. Calculate the trend values using the method of least squares for the following data
Year
2008
2009
2010
2011
2012
2013
2014
2015
2016
2017
No.Of Accidents
370
330
280
350
300
170
180
150
200
50
SECTION C
Answer any TWO questions X 20 40 Marks)
19 (a)Explain the types of diagrams to study the categorical data.
(b)Calculate Mean, Median and Mode from the following.
20. Calculate Karl Pearson's coefficient of Skewness from the following data:
Annual Income (Rs. in lakhs)
70 80
80 90
90 100
100 -110
No. of companies
12
18
35
42
21. In a partially destroyed laboratory record of an analysis of correlation data, the following results were obtained.
Variance of X 9
Regression Equations 8X 10Y 66 40X 18Y 214
Find the mean values of X and Y the coefficient of correlation between X and Y the variance of Y
22. Verify the Time reversal test and Factor reversal test for the below data.

Wages in rupees
Less than 10
Less than 20
Less than 30
Less than 40
Less than 50
No. of workers
5
17
20
22
25