CX 1431: BUSINESS STATISTICS - Model Paper 2- S4 Bcom tax Kerala University

Time:  3 Hours                                                                                               Max. Marks: 80

SECTION –A

(Answer all questions in one word or one sentence each. Each question carries 1 mark)

1.      Define statistics in plural sense

2.      What is cluster sampling?

3.      The data collected by the investigator through interview method is ______ data

4.      What is a line of best fit?

5.      Define correlation.

6.      What do you mean by census method?

7.      If the mode is ill defined how will you compute the mode?

8.      What is cost of living index?

9.      If Q1= 10 and Q3 = 40 find the coefficient of quartile deviation.

10.  What is seasonal variation?                                                                             (10*1=10)

SECTION –B

(Answer any eight questions in one paragraph each. Each question carries 2 marks)

11.  Distinguish between primary data and secondary data.

12.  What are bar diagrams? Mention any four types of bar diagrams.

13.  N=10 , ∑D² = 100 compute Spearmans rank correlation coefficient.

14.  The mean wages of 40 male workers in a factory is Rs 100 and that of 60 female workers in the same factory is Rs 80. Find the combined mean wages if 100 workers in the factory.

15.  What are the components of time series?

16.  Draw a histogram on the basis of the data given below:

Month	0-20	20-40	40-60	60-80	80-100
No of students	15	25	35	20	5

17.  Determine the median: 110,115,140,117,109,113,120

18.  What is false base line? When is it used?

19.  What is pictograms and cartograms?

20.  Describe a statistical unit.

21.  Write briefly about Karl Pearson’s coefficient of correlation.

22.  How is time series analysis useful for business forecasting?                                                                                                                                                                          (8*2=16)

SECTION –C

(Answer any six questions in not exceeding 120 words. Each question carries 4 marks)

23.  What are the parts of a table?

24.  What are the features of index numbers?

25.  Explain the different types of classification of data.

26.  What are the points to be considered while drafting a questionnaire?

27.  Explain the various measures of dispersion.

28.  From the chain base index numbers given below prepare fixed base index numbers

Years:                                      2001    2002    2003    2004    2005

Chain base index numbers:      80        110      120      90        140

29.  From the data given below calculate the GM :

15, 250,15.7,157,1.57,105.7,10.5,1.06,25.7,0.257

30.  Find the mean of variable x and y from the following data :
regression of y on x : 2y –x- 50=0

Regression of x on y : 3y-2x-10=0

31.  Calculate 5 yearly moving average of the number of students studying in an engineering college from the following data:

Year	2000	2001	2002	2003	2004	2005	2006
No of students	111	150	175	196	201	203	205

                                                                                                                        (6*4=24)

SECTION- D

(Answer any two questions in not exceeding four pages each. Each question carries 15 marks each)

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32.  Explain the characteristics and functions of statistics.

33.  Calculate the coefficient of correlation obtain the lines of regression for the following:

X:        1          2          3          4          5          6          7          8          9

Y:        9          8          10        12        11        13        14        16        15

Obtain an estimate of Y which should correspond to the average X=6.2

34.  Following are the data related with the prices and quantities consumed for 2010 and 2012

Commodity	2010	2010	2012	2012
	Price	Quantity	Price	Quantity
Rice	5	15	7	12
Wheat	4	5	6	4
Sugar	7	4	9	3
Tea	52	2	55	2

Construct price index numbers by

1.      Laspeyre’s method

2.      Paasche’s method

3.      Bowly’s- Dorbish method

4.      Marshall – Edgeworth method

5.      Fischer’s method

35.  What is sampling? Explain various methods of sampling.                                                                                                                                                                                                                                                            (2*15=30)