BBS First Year Business Statistics | MGT202 | Model Question 2020 | TU | Set B | Download in PDF.
bbs first year business statistics mgt202 model question 2020 tu set-b pdf download
DR Gurung
Faculty Of Management
Office Of The Dean
BBS / 4 Years Programme / First year / MGMT
Business Statistics ( MGT 202 )
Full Marks :100
Pass Marks : 35
Time : 3 hrs.
MODEL QUESTION – 2020
Candidates are required to give their answers in their own words as far as practicable. The figures in the margin indicate full marks.
Group ‘A’
Brief Answer Questions.Attempt All Questions. (10X2=20)
1. The mean of marks in Statistics of 100 students in a class was 72. The mean of marks of 70 boys was 75. Find out the mean marks of girls in the class.
Also Check:
3. In a single throw of two dice, what is the probability of getting the same numbers on both dice ?
5. The coefficient of variation of a symmetrical distribution is 9 % and mean of the distribution is 40. Find the value of standard deviation and variance.
6. What do you mean by five number summary?What is its application in statistics ?
7. Reconstruct the following index number by shifting the base year as 2053.
8. From the following pay- off table, find the best strategy if (i) Maximax criteria is applied (ii) Maximin criteria is applied.
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BBS First Year Financial Accounting and Analysis | MGT211 | Model Question 2020 | TU | Set A | Download in PDF.2. The difference between the upper quartile and the lower quartile of a certainfrequency distribution is 4 and their sum is 16. Calculate the quartile deviation and its coefficient.
3. In a single throw of two dice, what is the probability of getting the same numbers on both dice ?
4. The personnel director for Nepal Drug Limited recorded the average percentage absentee rates for each quarter for a 4 years period are 55, 67.5, 62.5 and 53,find the seasonal indices.
5. The coefficient of variation of a symmetrical distribution is 9 % and mean of the distribution is 40. Find the value of standard deviation and variance.
6. What do you mean by five number summary?What is its application in statistics ?
7. Reconstruct the following index number by shifting the base year as 2053.
|
Year |
2049 |
2050 |
2051 |
2052 |
2053 |
2054 |
2055 |
|
Index Number |
100 |
115 |
126 |
134 |
147 |
155 |
163 |
|
PAY-OFF
TABLE |
|||
|
|
N1 |
N2 |
N3 |
|
S1 |
200 |
50 |
40 |
|
S2 |
100 |
60 |
30 |
|
S3 |
40 |
30 |
10 |
9. For eight pairs of observations on two variables sales ( X ) and Pricing ( Y ) , the following results were obtained.
Σ = 156 , Σ = 132 , Σ = 4162 , Σ = 2434 , Σ = 2884
Find out if there exists any relationship between sales and pricing.
10. Find the adjoint matrix of the matrix given below.
Σ = 156 , Σ = 132 , Σ = 4162 , Σ = 2434 , Σ = 2884
Find out if there exists any relationship between sales and pricing.
10. Find the adjoint matrix of the matrix given below.
1 − 2
3 7
Group ‘B’
Descriptive Answer Questions.Attempt any FIVE Questions.. (5X10=50)
|
|
Factory A | Factory B |
| Average weekly wage | Rs. 4600 | Rs. 4900 |
| Standard Deviations | Rs. 50 | Rs. 40 |
| Number of workers | 100 | 80 |
Which factory has greater variability in the distribution of weekly wages?
Justify your result with appropriate Statistical tool.
12. Differentiate between “Census” and “Sampling” method of data collection. Why sampling method is suitable to collect data from large population?
13. (a) Solve the following linear programming problem using graphical method.
Maximize Z = 30 x + 50 y
Subject to constraints:
x + y ≤ 30
x + 2y ≤ 40
x , y ≥ 0
(b) A manufacturing company has 1,000 employees. 10 % of the employees earn less than Rs. 500 per day , 200 earn between Rs. 500 and Rs. 999 , 30 % earn between Rs. 1000 and Rs. 1,499 , 250 employees earn between Rs. 1,500 and Rs. 1,999 and rest earn Rs. 2,000 and above. Calculate the suitable average wage. Also give the reason for your choice of average.
14. Calculate the index number by using suitable formula for 1985 on the basis of 1980 from the following information :
| Year | Product X | Product Y | Product Z | |||
| Price | Quantity | Price | Quantity | Price | Quantity | |
| 1980 | 4 | 54 | 3 | 10 | 2 | 5 |
| 1985 | 10 | 40 | 8 | 8 | 4 | 5 |
15. (a) Prove the following by using properties of determinants.
1 1 1
= ( a- b)( b- c )(c- a )( a+ b +c )
( b ) Solve the following equations by using Matrix method.
-x + 3y = 5
2 x – 4 y = 0
16. From the following data compute Bowley’s coefficient of skewness and interpret your result.
| Income(00 Rs.) | Below 200 | 200-400 | 400-600 | 600-800 | 800-1000 | 1000 & above |
| No. of families | 25 | 40 | 80 | 75 | 20 | 16 |
Group ‘C’
Analytical Answer Questions.Attempt any TWO Questions. (2X15=30)
17. The following table represents the annual trend of net profit of two different companies seeking investment for their development project. As an investment advisor, in which company would you suggest to invest money ? Justify your answer by using necessary statistical tools.
|
Year |
Net Profit (in million Rs.) |
|
|
Company - A |
Company - B |
|
|
2007 |
16 |
16 |
|
2008 |
32 |
16 |
|
2009 |
40 |
22 |
|
2010 |
24 |
36 |
|
2011 |
40 |
40 |
|
2012 |
32 |
44 |
|
2013 |
88 |
48 |
18. From the following bi-variate frequency tabl , find out if there exists any relationship between advertisement expenditure (in 00 Rs.) and sales revenue ( in 000 Rs.) and test the significance of the result. Also estimate sales revenue when advertisement expenditure is Rs. 40,000.
|
Advertisement Expenditure
(in 00 Rs.) |
Sales
Revenue ( in 000 Rs. ) |
||||
|
0 - 50 |
50 - 100 |
100 - 150 |
150 - 200 |
200 - 250 |
|
|
0
- 40 |
12 |
6 |
8 |
- |
- |
|
40
- 80 |
2 |
18 |
4 |
5 |
1 |
|
80
– 120 |
- |
8 |
10 |
2 |
4 |
|
120
- 160 |
- |
1 |
10 |
2 |
1 |
|
160
- 200 |
- |
- |
1 |
2 |
3 |
19. Under an employment promotion programme , it is proposed to allow sale of newspapers on the business during peak hours. A newspaper boy has the following probability of selling a magazine.
|
No. of copies sold |
10 |
11 |
12 |
13 |
14 |
|
Probability |
0.10 |
0.15 |
0.20 |
0.25 |
0.30 |
Cost per copy of magazine is Rs. 30 and sale price per copy is Rs. 50. He cannot return unsold copies where salvage value is zero.
a. Calculate the expected monetary value ( EMV ) for each strategy.
b. How many copy should be ordered ?
c. Compute expected profit with perfect information ( EPPI ).
d. Also calculate expected value of perfect information ( EVPI ).
a. Calculate the expected monetary value ( EMV ) for each strategy.
b. How many copy should be ordered ?
c. Compute expected profit with perfect information ( EPPI ).
d. Also calculate expected value of perfect information ( EVPI ).
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