Brief Answer Question
Attempt All question
TUpapers.comCalculate coefficient of variation of a distribution, when mean=40 and standard deviation = 11.
Find quartile coefficient of skewness, when median = 40, lower quartile = 33 and upper quartile = 45.
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?
Calculate the coefficient of kurtosis, when first quartile= 25, third quartile= 40, 10th percentile= 10 and 90th percentile= 63.
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.
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 |
List out the any four random sampling techniques.
Find the value of following determinant:
|1 a b+c|
|1 b c+a|
|1 c a+b|
Find 3(A+B) where A=
[1 9]
[4 1]
[3 7]
and B=
[2 6]
[3 3]
[1 4]
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 |
Descriptive Answer Question
Attempt any Five questions
Find out the lowest marks of top 10 percent of the students from the following marks distribution:
| Marks | 0-10 | 10-20 | 20-30 | 30-40 | 40-50 | 50-60 | 60-70 | 70-80 |
| Students | 4 | 5 | 14 | 17 | 25 | 18 | 10 | 7 |
Solve the following equations by using determinant or matrix method:
2x - y + z = -2
x + y -2z = -9
x + 2y + z = 9
The following table gives the changes in price and quantity of the consumption basket of the labour class.
| Commodity | 2022 | 2023 | ||
| Price | Quantity | Price | Quantity | |
| A | 1200 | 10 | 1500 | 11 |
| B | 1700 | 15 | 1800 | 18 |
| C | 500 | 50 | 700 | 60 |
| D | 300 | 40 | 500 | 50 |
Calculate the cost of living index. If the average of a labour wage was Rs. 24,000 per month in 2022, what should be the average wage per worker per month in 2023, so that the standard of living of the workers does not fall in the year 2023 level?
The following table shows the profit (Rs. millions) of a ABC company:
| Year | 2015 | 2016 | 2017 | 2018 | 2019 | 2020 | 2021 | 2022 | 2023 |
| Profit | 16 | 20 | 25 | 28 | 30 | 27 | 29 | 32 | 25 |
Fit a straight line trend by least square method. Calculate the trend values. Estimate the profit for the year 2024.
Solve the following Linear Programing Problem graphically:
Minimize Z = 3x + 5y
Subject to constraints: x + 2y ≥ 40
x + y ≥ 30
and x ≥ 0, y ≥ 0
A vender buys magazine at the rate of Rs 10 and sells them at the rate of Rs 15. The unsold magazines will be worthless. The number of copies demanded and their corresponding probabilities are given below:
| Copies demanded | Probability |
| 200 | 0.19 |
| 210 | 0.16 |
| 220 | 0.25 |
| 230 | 0.27 |
| 240 | 0.13 |
(a) Determine optimum stock level (b) Calculate maximum expected monetary value (EMV).
Analytical Answer Question
Attempt any Two questions
The following table reveals daily wages (Rs.00) of workers of certain locality:
| Daily wages (Rs.00) | Number of workers |
| 20-30 | 10 |
| 30-40 | 15 |
| 40-50 | 21 |
| 50-60 | 30 |
| 60-70 | 24 |
| 70-80 | 15 |
| 80-90 | 5 |
Calculate (a) coefficient skewness and interpret the result (b) coefficient of kurtosis and interpret the result.
The following table shows the income and expenditure of people:
| Income (Rs 000) | Expenditure (Rs.000) |
| 100 | 80 |
| 80 | 60 |
| 50 | 30 |
| 40 | 35 |
| 70 | 40 |
| 60 | 50 |
| 90 | 55 |
| 75 | 40 |
| 95 | 50 |
| 30 | 20 |
a. Calculate Karl Pearson's correlation coefficient.
b. Find out two regression coefficients.
c. Estimate the expenditure a person when his/her income is Rs 85 thousand.
Following samples describes the marks of the students in Statistics in BBS program of two sections.
| Section A | 54 | 60 | 58 | 53 | 55 | 52 | 56 | 57 | 58 | 55 |
| Section B | 58 | 57 | 54 | 53 | 59 | 57 | 58 | 59 | 63 | 56 |
(a) State which section of students securing more uniform marks?
(b) Find out combined standard deviation.