[BA 3rd Sem Question Papers, Dibrugarh University, 2012, Economics, Major, Statistical Methods in Economics]
1. Choose the correct answer/Answer the following: 1x8=8
- The nth root of the product of n terms of a series’ is termed as
- Geometric mean.
- Harmonic mean.
- Mode.
- Standard deviation.
- The sample of A and B have same standard deviation
. But, the arithmetic mean
of
The coefficient of variation of A will be
- Less than B.
- Greater than B.
- Equal to B.
- None of the above.
- The change of drawing a king in a draw from a pack of 52 cards is
- In case of a normal distribution, the coefficient of skewness is
- 1
- >1
- 0
- <1
- Mention one merit of arithmetic mean.
- The Spearman’s coefficient of rank correlation p ranges from
- 0 to +1
- – 1 to +1
- – 1 to 0
- None of the above
- The value of
is equal to
- Mention one limitation of mean deviation.
2. Write short notes on any four of the following (within 150 words each): 4x4=16
- Skewness and Kurtosis.
- Binomial distribution.
- Distinction between correlation and regression.
- Type – II error.
- Splicing of index numbers.
3. (a) What do you mean by dispersion? Explain various methods of computing dispersion. 2+9=11
Or
(b) From the following data, find the missing frequencies when the mean 
is 56.47 (N = 150):
is 56.47 (N = 150): Daily wages (Mid-value) (in Rs.): | 45 | 50 | 55 | 60 | 65 | 70 | 75 |
Frequency: | 5 | 48 | ? | 30 | ? | 8 | 6 |
4. (a) What is Sampling? Describe different types of sampling. 2+9=11
Or
(b) In a survey, the following results were found in a town:
Male | Female | Total | |
Taking tea Not taking tea | 56 18 | 31 6 | 87 24 |
Total | 74 | 37 | 111 |
Discuss whether there is any significant difference between male and female in the matter of taking tea. [The value of
for 1 degree of freedom at 5% level of significance is 3.84]
for 1 degree of freedom at 5% level of significance is 3.84]5. (a) State and prove the multiplication theorem of probability. How is the result modified if the events are not independent? 8+3=11
Or
(b) If two dice are thrown, what is the probability of getting –
- Either total 8 or total 10;
- At least one six;
- Total being multiple of 3 or 4;
- Total of 9? 3+3+3+2=11
6. (a) Mention the properties of Karl Pearson’s coefficient of correlation. Find Karl Pearson’s coefficient of correlation between the following values X and Y: 3+9=12
X: | 78 | 89 | 96 | 69 | 59 | 79 |
Y: | 125 | 137 | 156 | 112 | 107 | 136 |
Or
(b) From the data given below, find (i) the two regression equations, (ii) the most likely marks in Statistics, when the marks in Economics is 30 5+5+2=12
Marks in Economics | 25 | 28 | 35 | 32 | 31 | 36 | 29 |
Marks in Statistics | 43 | 46 | 49 | 41 | 36 | 32 | 31 |
7. (a) (i) Mention the problems of construction of index numbers.
(ii) From the following data, construct Fisher’s ideal index:
Ideal Index:
Commodities | 2010 | 2011 | ||
Price | Quantity | Price | Quantity | |
A B C D | 5.00 4.00 2.50 12.00 | 100 80 60 30 | 6.00 5.00 5.00 9.00 | 150 100 72 33 |
Or
Also Read: Dibrugarh University Question Papers
(b) (i) Distinguish between fixed-base and chain-base index numbers.
(ii) Find chain-base index numbers from the following fixed-base index numbers:
Year | 2007 | 2008 | 2009 | 2010 | 2011 |
Fixed-base index number | 80 | 88 | 105.60 | 95.04 | 133.06 |
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