## Thursday, October 05, 2017

2013
(November)
ECONOMICS
(General)
Course: 501
(Elementary Statistics for Economics)
Full Marks: 80
Pass Marks: 32
Time: 3 hours
The figures in the margin indicate full marks for the questions

1. Choose the correct option/Answer the following: 1x8=8
1. Direct personal investigation is related to
1. Index number.
2. Secondary data.
3. Primary data.
4. Government data.
1. Which formula is not used to calculate arithmetic mean?
1. Which concept in statistics is shown in percentage?
1. Geometric mean.
2. Mode.
3. Index number.
4. Range.
1. Coefficient or variation is related to quartile deviation.
1. Yes.
2. No.
1. Which of the following is not a measure of dispersion?
1. Mean deviation.
2. Harmonic mean.
3. Range.
4. Interquartile range.
1. Show is percentage:
1. Index number measures
1. National income.
2. Cost of living.
3. Agricultural production.
4. Rate of employment.
1. Exit poll findings are based on
1. Random sample of universe.
2. Complete survey of the universe.
3. Quota sample of the universe.
4. None of the above.
2. Write short notes on any four of the following (within 150 words each): 4x4=16
1. Primary data.
2. Arithmetic mean.
3. Quartile deviation.
4. Random sampling.
5. Uses of index number.
3. (a) Distinguish between primary and secondary data. Which one is reliable? What information or data, you collect from the students of a college to know the family background and academic aspect of the students?    4+1+6=11
Or
(b) Distinguish between classification and tabulation of data. Illustrate the components of a table with an example.        5+6=11
4. (a) Define median and mode. Explain how these measures are calculated in case of ungrouped and grouped data.        4+7=11
Or
(b) Calculate Arithmetic Mean and Median from the following data: 5+6=11
 Daily Wages No. of Workers 20-30 30-40 40-50 50-60 60-70 70-80 80-90 5 15 28 42 15 12 3

5. (a) What is dispersion? What are its measures? Mention the merits and demerits of mean deviation and standard deviation. 2+3+6=11
Or
(b) Calculate Standard Deviation from the following data:
 Daily Wages No. of Workers 30-40 40-50 50-60 60-70 70-80 80-90 90-100 1 4 14 20 22 12 2

6. (a) What is Index Number? Explain the various problems involved in the construction of Index Number.       2+9=11
Or
(b) Calculate Price Index Number for the year 2013 by using (i) Laspeyres and (ii) Fisher’s Ideal Index from the following data: 5+6=11
 Goods Price Quantity 2013 2012 2013 2012 A B C D 10 20 15 22 20 40 30 44 100 200 150 220 50 100 75 110

7. (a) What is interpolation? Explain the different methods of interpolation. 2+10=12
Or
(b) Using an appropriate formula for interpolation, estimate the expectation of life at the age of 16 years by using the following data: 12
 Age (in years): 10 15 20 25 30 35 Expectation of life (in years): 35.4 32.3 29.2 26 23.2 20.4