Model Question

S 4 B Com Statistics

FIRST DEGREE PROGRAMME IN COMMERCE

FORTH SEMESTER EXAMINATION – (MODEL QUESTION PAPER)

Complementary Course IV: CO 1431- BUSINESS STATISTICS

(2014 Admissions onwards)

Time: Three Hours                                                                                       Maximum: 80 Marks

SECTION-A

Answer all questions in one or two sentences. Each question carries 1 mark.

1. Define statistics.

2. What is a pie diagram?

3. Define geometric mean.

4. What is a time series?

5.  Write a short note on sampling.

6.  Define Fisher’s Ideal index.

7.  What do you mean by mean deviation?

8. What is a scatter diagram?

9.  What do you mean by positive correlation?

10. What is extrapolation?

(10 x 1=10)

SECTION B

Answer any eight questions. Each carries 2 marks.

11. Explain how cost of living index numbers are constructed?

12. What is economic time series?

13. What is random sampling?

14. What is regression?

15. Define Karl Pearson’s coefficient of correlation

16. What are the functions of averages?

17. State the various measures of central tendency.

18. Define primary and secondary data.

19. State the principle underlying classification of data.

20. Distinguish between positive and negative correlation.

21. Distinguish between regression and correlation.

22. What is a bar diagram? Examine its various types.

(8 x 2=16)

SECTION-C

Answer any six questions. Each carries 4 marks.

23. Distinguish the difference between simple and compound events

24. What is the purpose of analysing seasonal variation in business problem?

25. Find out the value of geometric mean from the following figures.

            57, 5, 87,75, 53.

26. Explain briefly the method of moving averages for calculating the trend.

27. In calculating a certain cost of living index number the following weights were used:

food 15, clothing 3, rent 4, fuel and light 2, miscellaneous 1.

Calculate the index for the period when the average percentage increases in prices of items in the various groups over the base period were 32, 54, 47, 78 and 58 respectively.

Suppose a business executive was earning Rs.2050 in the base period, what should be his salary in the current period if his standard of living is to remain the same?

28. What is an index number? Analyse the use of index numbers.

29. Explain what are regression lines? Why are there two such lines?

30. Explain clearly the relationship between mean, median and mode.

31. Find out the range and its coefficient from the following information.

            25, 32, 85, 42, 10, 30, 45.

(6 x 4=24)

SECTION-D

Answer any two questions. Each carries 15 marks.

32. What do you mean by time series analysis? Explain the components of time series.

33. The following data relate to the scores obtained by 9 sales men of a company in an Intelligence Test and their weekly sales in 000’ Rs.

Sales men:                               A   B  C   D  E   F  G  H   I

Intelligence Test score:           50 60 50 60 80 50 80 40 70

Weekly sales:                          30 60 40 50 60 30 70 50 60

(i) Obtain the regression equation of sales on Intelligence Test scores of the salesmen.

(ii) If the Intelligence Test Scores of a sales man is 65, what would be his expected weekly sales?

34. It is stated that the Fishers ideal index number satisfies both time reversal and factor reversal tests prove. Prove by using the following data. Also find fishers’ Index number.

Commodity	2014		2015
	P	Q	P	Q
A	2	75	3	80
B	5	125	4	140
C	7	40	6	35
D	4	25	7	30

35. From the following data find out the value of standard deviation and coefficient of variation.

Size                 :           0-2       2-4       4-6       6-8       8-10     10-12

Frequency       :             2          4          6          4          2          6       

(2 x 15=30)