Business Statistics Question Paper' 2022 [Dibrugarh University B.Com 3rd Sem CBCS Pattern]

Business Statistics Question Paper' 2022 
[Dibrugarh University B.Com 3rd Sem CBCS Pattern]

COMMERCE (Generic Elective)

Paper: GE – 303 (Business Statistics)

Full Marks: 80

Pass Marks: 32

Time: 3 hours

The figures in the margin indicate full marks for the questions

1. Answer any eight questions of the following:                  2x8=16

(a) State two important objects of measures of central value.

(b) Define seasonal variation in time series with example.

(c) Mention two limitations of classical definition of probability.

(d) The arithmetic means of runs scored by two batsmen X and Y in a series of 10 innings are 20 and 25 respectively. The standard deviations of their runs are 4 and 8 respectively. Who is the most consistent of the two?

(e) What do you mean by coefficient of correlation between two variables?

(f) Distinguish between standard deviation and standard error.

(g) Mention two uses of consumer price index number.

(h) Define chronological data with an example.

(i) A binomial variable X has mean 6 and variance 4. Find the values of n and p.

(j) Define stratified random sampling.

(k) Show that Fisher’s formula satisfies factor reversal test.

2. (a) (1) The arithmetic mean and geometric mean of two observations are 5 and 4 respectively. Find the observations.

(2) Calculate mode from the following frequency distribution:     3, 4

Class:	20 – 29	30 – 39	40 – 49	50 – 59	60 – 69
Frequency:	8	12	4	15	9

(3) Distinguish between absolute and relative measures of dispersion.     2

Or

(b) (1) The average salary of male employees in a factory was Rs. 5,200 and that of females was Rs. 4,200. The mean salary of all the employees was Rs. 5,000. Find the ratio of male and female employees in the factory.      3

(2) Calculate variance from the following data:                    4

Class:	10 – 20	20 – 30	30 – 40	40 – 50	50 – 60
Frequency:	8	12	9	11	10

 

(3) Define skewness. For a frequency distribution if Mean = 25, Mode = 30 and Variance = 25, find the coefficient of skewness.           1+1=2

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Also Read: PAST EXAM QUESTION PAPERS AND SOLUTIONS (DIBRUGARH UNIVERSITY)

Non-CBCS Pattner Question Paper:

1. Business Statistics Question Papers (From 2014 onwards) B.Com 3rd Sem

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1. Business Statistics Solved Question Papers (Non-CBCS Pattern)

2. Business Statistics Solved Questions Papers (CBCS Pattern): 2020  2021 2022

BUSINESS STATISTICS IMPORTANT QUESTIONS:

- Business Statistics  Important Theory & Practical

BUSINESS STATISTICS CHAPTERWISE NOTES CLICK HERE

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3. (a) (1) Explain the meaning of the statement – “The probability of occurrence of an event A is 1/5”.       2

(2) A problem is given to three students X, Y and Z. The probability of solving the problem by X, Y and Z are 1/2, 1/3 and 1/4 respectively. Find the probability that the problem will be solved.      3

(3) Under what conditions binomial probability distribution can be used?                               3

(4) Define a random variable. A random variable X has the following probability distribution:

X:	0	1	2	3
P (X):	1/8	K	1/4	1/8

Find the value of K.                          2+3=5

(b) (1) State the properties of normal probability distribution.                      3

(2) Define Poisson probability distribution with an example.         2

(3) A die is thrown. If X denotes the point on the uppermost face, find E(X).                           4

(4) A coin is tossed six times. Find the probability of getting at least four heads.   4

4. (a) (1) Distinguish between correlation and regression.              4

(2) From the following data, find the two regression equations:   3+3=6

X:	70	75	81	84	90
Y:	100	105	95	110	115

(3) Why are there two lines of regression?  3

Or

(b) (1) Show that coefficient of correlation ranges from – 1 to + 1.              4

(2) The regression lines have the equations x+2y = 5 and 2x + 3y = 8. Find Mean of X, Mean of Y and coefficient of correlation. 2+4=6

(3) What is Spearman’s rank correlation?               3

5. (a) (1) What is time reversal test? Show that Fisher’s formula satisfies time reversal test.            4

(2) Calculate Fisher’s price and quantity index number from the following data:   3+3=6

	Base Year		Current Year
Items	Price (Rs.)	Quantity	Price (Rs.)	Quantity
A B C D	10 12 8 4	4 5 2 6	15 20 10 5	6 8 5 10

(3) What are the limitations of index number?    3

Or

(b) (1) Why is index number called economic barometer?              3

(2) Calculate cost of living index number from the given data:      6

	Price
Items	Base year	Current year	Weight
A B C D	10 15 9 20	18 30 12 32	3 2 4 1

(3) Write the differences between chain-base index number and fixed-based index number.         4

6. (a) (1) What do you understand by analysis of time series? What is the need to analyze a time series? 1+3=4

(2) Calculate trend values by the method of least squares from the data given below:       4

Year:	2000	2001	2002	2003	2004	2005
Sales:	45	50	48	52	55	60

(3) What are the models used in time series analysis?      3

Or

(b) (1) Explain cyclical variations in a time series. How do seasonal variations differ from them?    2+2=4

(2) Calculate 3- yearly moving average from the data given below:                             4

Year:	T1	T2	T3	T4	T5	T6	T7	T8	T9
Values:	8	4	9	6	10	12	7	15	11

(3) What are the disadvantages of moving average method?        3

7. (a) (1) Write a note on sampling error.               3

(2) What is simple random sampling?      2

Or

(b) (1) What do you mean by sampling distribution?                         2

(2) What are the merits of stratified random sampling?   3

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