Group A
Brief Answer Questions
Attempt all questions.
Calculate coefficient of variation of a distribution, when mean=40 and standard deviation = 11.
[2 marks]
Find quartile coefficient of skewness, when median = 40, lower quartile = 33 and upper quartile = 45.
[2 marks]
Twenty balls are numbered from 1 to 20. If one ball is drawn at random, what is the probability that the ball drawn is multiple of 4 or 7?
[2 marks]
Calculate the coefficient of kurtosis, when first quartile= 25, third quartile= 40, 10th percentile= 10 and 90th percentile= 63.
[2 marks]
Calculate regression coefficient of Y on X, if correlation coefficient between X and Y= 0.60, standard deviation X series= 7 and standard deviation of Y series= 9.
[2 marks]
Find the simple aggregative price index number for the year 2023 from the following information:
| Commodities | A | B | C | D | E |
|---|---|---|---|---|---|
| Price in 2022 | 15 | 25 | 23 | 25 | 17 |
| Price in 2023 | 18 | 27 | 25 | 28 | 20 |
[2 marks]
List out the any four random sampling techniques.
[2 marks]
Find the value of following determinant:
[2 marks]
Find 3(A+B) where A = and B = .
[2 marks]
From the given Pay-off table, give the decision according to (i) Maximax approach (ii) Maximin approach.
| State of nature | S1 | S2 | S3 |
|---|---|---|---|
| N1 | 50 | 30 | 90 |
| N2 | 70 | 80 | 40 |
| N3 | 20 | 40 | 20 |
[2 marks]