2015
(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. Answer as directed: 1x8=8
- Mention any one source of collecting secondary data.
- On which of the following measure extreme values have no effect?
- Arithmetic mean.
- Median.
- Geometric mean.
- Harmonic mean.
(Choose the correct answer)
- If a variable
takes the values
then the geometric mean of
is
(Choose the correct answer)
- Which of the following is not a measure of dispersion?
- Mean deviation.
- Range.
- Quartile deviation.
- Harmonic mean.
(Choose the correct answer)
- Determine the range for the following distribution:
 : |
30
|
35
|
40
|
45
|
50
|
 : |
15
|
11
|
4
|
6
|
2
|
- Base year for the construction of an index number should be
- a year only.
- A normal year.
- The previous year of a current year.
- None of the above.
(Choose the correct answer)
- In index number is a special type of ____. (Fill in the blank)
- Mention one importance of interpolation.
2. Write short notes on any four of the following: 4x4=16
- Random sampling.
- Mode.
- Standard deviation.
- Time reversal test.
- Range.
3. (a) Distinguish between primary data and secondary data. What are the different methods of collecting primary data? 4+7=11
Or
(b) Distinguish between census and sampling. Discuss their comparative advantages. 5+6=11
4. (a) What do you mean by measures of central tendency? What are the different measures of central tendency? Which measure do you consider best and why? 2+2+7=11
Or
(b) Calculate arithmetic mean and median from the following data: 6+5=11
Marks:
|
0-10
|
10-20
|
20-30
|
30-40
|
40-50
|
50-60
|
60-70
|
70-80
|
No. of Students:
|
4
|
12
|
24
|
36
|
20
|
16
|
8
|
5
|
5. (a) What do you mean by dispersion? Distinguish between absolute and relative measures of dispersion. Mention merits and demerits of mean deviation. 2+3+6=11
Or
(b) Calculate standard deviation from the following data: 11
Class:
|
0-10
|
10-20
|
20-30
|
30-40
|
40-50
|
50-60
|
60-70
|
Frequency:
|
10
|
15
|
25
|
25
|
10
|
10
|
5
|
6. (a) What is an index number? Why is Fisher’s index number considered as an ideal index number? Mention the uses and limitations of index number. 2+4+5=11
Or
(b) Calculate the price index number for the year 2014 by using (i) Laspeyres’ formula and (ii) Fisher’s ideal index formula from the following data: 4+7=11
Price
|
Quantity
| |||
2010
|
2014
|
2010
|
2014
| |
A
B
C
D
|
10
7
5
16
|
12
5
9
14
|
12
15
24
5
|
15
20
20
5
|
7. (a) What is interpolation? Explain the different methods of interpolation. 2+10=12
Or
(b) From the following data, estimate the number of persons in the income group of Rs. 200 to Rs. 250 per month:
12
Income (below Rs. per month)
|
100
|
200
|
300
|
400
|
500
|
No. of persons
|
20
|
45
|
115
|
210
|
325
|
***
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