LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

BC 9

B.A. DEGREE EXAMINATION – ECONOMICS

THIRD SEMESTER – APRIL 2008

EC 3500 – QUANTITATIVE TOOLS FOR ECONOMICS

 

 

 

Date : 26/04/2008                Dept. No.                                       Max. : 100 Marks

Time : 1:00 – 4:00

PART – A

Answer any FIVE questions in about 75 words each:                      (5 x 4 = 20 marks)

1. State and explain two important functions of statistics.
2. What is a Pilot Survey?
3. What is meant by Multiple bar diagram?
4. Define Dispersion.
5. What is Geometric Mean?
6. What are the different methods of studying correlation?
7. Define Time Series.

PART – B

Answer any FOUR questions in about 250 words each:                  (4 x 10 = 40 marks)

1. Analyse the application of statistics in Economics and Business.
2. Find the value of mode from the following data.

Marks	0-10	10-20	20-30	30-40	40-50	50-60	60-70	70-80	80-90	90-100
No. of Students	3	5	7	10	12	15	12	6	2	8

 

1. Calculate standard Deviation for the following distribution.

Age	20-25	25-30	30-35	35-40	40-45	45-50
No. of Persons	170	110	80	45	40	35

 

1. Calculate Pearson’s coefficient of skew ness.

X	12.5	17.5	22.5	27.5	32.5	37.5	42.5	47.5
Y	28	42	54	108	129	61	45	33

 

1. Explain the different types of correlation with examples.
2. What are the qualities of a good questionnaire?
3. Briefly explain the uses of Index Numbers.

PART – C

Answer any TWO questions in about 900 words each:                    (2 x 20 = 40 marks)

 

1. Explain the different types of Diagrams.

 

1. Calculate Arithmetic Mean, Median and Mode from the following data.

Variable	10-13	13-16	16-19	19-22	22-25	25-28	28-31	31-34	34-37	37-40
Frequency	8	15	27	51	75	54	36	18	9	7

 

1. Analyse the methods of constructing Index Numbers.
2. From the following data obtain the two regression equations and calculate correlation coefficient.

X	1	2	3	4	5	6	7	8	9
Y	9	8	10	12	11	13	14	16	15

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