BBS First Year Business Statistics  MGT202  Model Question 2020  TU  Set A  Download in PDF.
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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 200 items was 50. Later on it was found that two items were wrongly taken as 92 and 8 instead of 192 and 88. Find the correct mean.
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2) In a batch of 15 students, 3 students failed in an examination. The marks of passed 12 students were 9, 6, 7, 8, 4, 5, 8, 10, 9, 7, 5, 7. What was the median mark of all 15 students?
3) In a moderately skewed frequency distribution, the mean is 10 and its median is 9, if the coefficient of variation is 20%. Find the Pearson’s coefficient of skewness of the distribution.
4) List out the various methods of collecting primary data and secondary data.
5) Calculate the lower and upper quartiles from the following marks distribution:
6) If regression coefficient of y on x (byx) =  0.61 and regression coefficient x on y (bxy) = 0.53, calculate the coefficient of correlation and interpret the result.
Calculate the lower and upper quartiles.  

Marks  Below 25  2529  3034  3539  4044  Above 44 
Students  5  12  22  25  17  9 
7) The standard deviation of symmetrical distribution is 5. What must be the value of fourth moment about mean in order that the distribution be mesokurtic ?
8) A bag contains 20 balls numbered from 1 to 20. One ball is drawn at random. Find the probability that the number of the drawn ball be multiple of (i) 3 or 7 (ii) 3 or 5.
9) Calculate the price index number from the following data by simple aggregative method.
Calculate the price index number from the following data by simple aggregative method.  

Commodities  A  B  C  D  E 
Price in 2075  125  105  260  150  250 
price in 2076  125  155  250  160  300 
Demand  

Strategy  D1  D2  D3 
S1  300  100  80 
S2  200  120  60 
S3  80  60  20 
Group ‘B’
Descriptive Answer Questions.Attempt any FIVE Questions.. (5X10=50)
11) List the five number summary and prepare a boxandwhisker plot from the following information. Also, comment on the nature of frequency distribution.
List the five number summary and prepare a boxandwhisker plot from the follwing.  

Class Size  2030  3040  4050  5060  6070  7080 
Frequency  10  12  25  35  40  50 
2x+5yz = 3, 4x+3y+2z = 1 & x+2y+3z = 5
13) Calculate Fisher’s ideal index number for the following data and show that it satisfies
(i) Time Reversal Test and (ii) Factor Reversal Test.
14) Fit straight line trend by the method of least square to the data given below. Also, find the trend values and predict the sales for the year 2022.
(i) Time Reversal Test and (ii) Factor Reversal Test.
Commodity  2018  2019  
Price (Rs)  Quantity (Units)  Price (Rs)  Quantity (Units)  
A  8  60  12  58 
B  4  110  4  125 
C  6  70  8  70 
D  12  40  14  38 
Fit straight line trend by the method of least square to the data given below.  

Year  2013  2014  2015  2016  2017  2018  2019 
Sales(000 units)  15  16  17  16  19  23  25 
them in two markets A and B. The sales of papers during one year are given below:
Markets 
Papers 

I 
II 
III 

A 
12,000 
5,000 
23,000 
B 
14,000 
22,000 
13,000 
b) If the unit costs of the above papers are Rs 3, Rs 2 and Rs 1 respectively, find the gross profit.
16) The following is the net profits of two companies in millions of rupees, find which company shows the greater consistency in the net profit. Justify your answer with statistical evidence.
Net profits of two companies in millions of rupees, find which company shows the greater consistency in the net profit.Justify your answer with statistical evidence.  

Company A  18  19  23  19  25  23  27 
Company B  17  18  22  23  24  25  25 
Group ‘C’
Analytical Answer Questions.Attempt any TWO Questions. (2X15=30)
17) A family income and its percentage expenditure on food for 100 families gave the following bivariate frequency distribution. Find out if there exists any relationship between family income and expenditure on food and interpret the result. Also test the significance of the result. Estimate the percentage expenditure on food when family income = Rs 90,000.
Food Expenditure (%) 
Family Income (000Rs) 

2040 
4060 
6080 
80100 
100120 

15 
 
 
 
3 
7 
20 
 
4 
9 
4 
3 
25 
7 
6 
12 
5 
 
30 
3 
10 
19 
8 
 
Describe the various characteristic features of the frequency distribution.  

Expenditure (Rs.00)  3040  4050  5060  6070  7080  8090  90100  100110 
Number of students  10  15  28  33  40  35  25  14 
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