LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – STATISTICS

THIRD SEMESTER – APRIL 2012

ST 3104/3101 – BUSINESS STATISTICS

 

 

Date : 28-04-2012              Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

 

SECTION A

 

Answer ALL questions.                                                                                    (10 x 2 =20)

1. Define median. Give an example.
2. Write any two applications of statistics in business.
3. Find the  mode: 3,5,6,5,6,7,2,8,9,6,7,8,10,6.
4. Write down the formulae for Regression equations X on Y and Y on X.
5. Define correlation.
6. Mention any two uses of Index numbers.

7. What is Time Series?

1. Write down the formula for Karl Pearson’s coefficient of Skewness
2. Define Transportation Problem.
3. List out Methods of finding an Initial Basic Feasible Solution (IBFS).

 

SECTION B

Answer any FIVE questions.                                                                       (5 x 8 =40)

11. Draw a Histogram and Frequency Polygon for the following data:

Class interval	500-509	510-519	520-529	530-539	540-549	550-559	560-569
Frequency	8	18	23	37	47	26	16

 

12. Write down the merits and demerits of statistics.
13. Calculate Q.D and coefficient of Q.D for the given data:

X	10	20	30	40	50	80	90
F	4	7	15	18	7	2	5

 

 

 

14. Find coefficient of rank correlation between the variables X and Y.

Weight of fathers	65	66	67	68	69	70	71
Weight of mothers	67	68	66	69	72	72	69

 

 

 

 

 

 

15. Construct the Price index numbers to the following data by using the method of

(i) Laspeyre’s (ii).Paasche’s (iii). Marshall-Edgeworth (iv). Fisher’s Ideal index number

Commodities	2010   P0               Q0		2011   P1               Q1
A	10	6	15	5
B	12	10	15	10
C	18	5	27	3
D	8	5	12	4

 

 

 

 

 

 

 

 

16. Calculate Karl Pearson’s Coefficient of Skewness:

Size	1	2	3	4	5	6	7
Frequency	10	18	30	25	12	3	2

 

 

 

17. Solve the following Assignment Problem, given the cost involved for each machine.

Works	Machines
	M1	M2	M3	M4
W1	15	6	7	8
W2	3	13	7	6
W3	8	9	4	10
W4	3	5	7	11

 

18. Fit a Straight line to the following data.

X	2	4	6	8	10
Y	4	3	5	3	6

 

 

 

SECTION C

Answer any TWO questions.                                                                                 (2 x 20 =40)

19. (i) Find the Mean and Standard Deviation from the following data:

Class interval	20-30	30-40	40-50	50-60	60-70	70-80	80-90
frequency	3	61	132	153	140	51	2

 

 

 

 

(ii) Two cricketer scored the following runs in seven matches. Find who is more consistent                 player.

M.Hussey	67	29	95	83	44	101	72
V.Kholi	35	71	108	40	64	94	88

 

 

 

 

20. Obtain the Initial Basic Feasible Solution and the cost of the Transportation Problem by        Using (i) North-West Corner Rule, (ii) Least Cost method and (iii) Vogel’s Approximation Method.

Origin	Destination
		D1	D2	D3	Supply
	O1	4	9	6	8
	O2	5	5	3	11
	O3	7	6	10	7
	O4	3	8	4	17
	Demand	10	12	21	43

 

 

 

 

 

 

 

 

 

21. The following table gives the age of cars of a certain make and annual maintenance costs.

Age of cars in years	2	4	6	8	10	12
Maintenance cost in Rs.(’00)	10	20	30	50	62	74

 

 

 

(i)  Find the two Regression Equations.

(ii) Estimate the likely Age of cars in years when Maintenance cost in Rs 2500

(iii) Calculate the correlation between Age of cars in years and Maintenance cost.

 

22. Find the seasonal variations by the Link Relative Method to the following data

	YEAR
QUARTER	2007	2008	2009	2010	2011
I	30	35	31	31	34
II	26	28	29	31	36
III	22	22	28	25	26
IV	31	36	32	35	33

 

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