University of Allahabad 2010 B.Com , (Part-II) , Business Statistics - Question Paper

B.Com. (Part-II) (New Course)
Examination, 2010
Business Statistics
Paper: Ninth
(Group E)
Time Allowed: 3 Hours] [Maximum Marks: 100

Note: This paper is divided into part- 'A' and Part-'B'. Attempt all ques. from Part- 'A' and 3 ques. from Part-'B'. Use of calculator is prohibited.

Part-'A'
Note: Attempt all 8 ques.. ans in not more than 100 words. every ques. carries five marks.
1. "Statistics are numerical statement of facts, but all facts numerically said are not statistics." discuss
2. What do you mean by Central -Tendency?
3. What is skewness? How is it measured?
4. What is Spearman's Rank Correlation Coefficient? explain its utility.
5. Distinguish ranging from Additive model and Multiplicative Model of Time-Series.
6. In how many ways can a cricket team of eleven players be chosen from 15 cricketers if:

(a) a specific player is always to be included
And
(b) a specific player is not to be included in the team.

7. Distinguish ranging from assumptions of Parametric Test and Non-Parametric Test.

8. From the subsequent values obtain the standard deviation-
Mean= 45, Median= 48 and coefficient of skewness= - 0.4

Part-'B'
Note: Attempt any 3 ques.. The maximum words limit to ans every ques. is 600 words. every ques. carries 20 marks.

9. compute Mean, Median and Mode from the subsequent table:
Size Frequency
Less than five 7
Less than 10 20
5-15 38
15 and above 55
20-25 20
25 and above 05
30 and above 01

10. obtain out the production of 2004 and 2006 from the following:

Year 2003 2004 2005 2006 2007 2008

Production in 180 ? 250 ? 320 400
Lakh tons

11. The mean population of random sample of 500 villages of Allahabad Districts is 480 with a standard deviation of 15. The mean population of sample 600 villages of Varanasi District is 475 with standard deviation of 18. Is the difference ranging from 2 sample mean statistically significant?

12. The subsequent provide the mean annual wages of a worker and price index
numbers. obtain the real wage index numbers:

Year 2003 2004 2005 2006 2007 2008 2009
Wages 4000 4800 7000 7200 7200 7400 7500
Price Index 100 160 280 290 300 320 330

13. Write Notes on any 2 of the following:
(i) Properties of normal distribution
(ii) Distinguish ranging from Addition theorem and Multiplication theorem of Probability.
(iii) Coefficient of variation and its use
(iv) Limitations of Secondary Data

Earning:   Approval pending.