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Wednesday, August 31, 2016



Roll No.
Total No. of Questions : 07
BBA (Sem.–3rd)
BUSINESS STATISTICS
Subject Code : BB-304
Paper ID : [C0216]
Time : 3 Hrs.
INSTRUCTION TO CANDIDATES :
1. Section –A, is Compulsory.
2. Attempt any four questions from Section-B.

Section –A
1. a) Define multiple bar diagrams
 b) Show that the weighted arithmetic mean of the square of 10 natural numbers  whose weights are equal to the corresponding numbers is equal to 55.
 c) Find out harmonic mean of following individual series 10, 20, 30, 40, 60, 120
 d) Differentiate between Correlation and Regression.
 e) What is index number? What are its types
 f) A can solve 90% of the problems of a book and B can solve 70%. What is the probability that at least one of them will solve a problem selected at random.
 g) Two random variables have the regression equations 3 2 26, 6 31 x y xy
find out mean values of x and y.
 h) Find S. D. of set of observations which are all equal.
 i) Write Components of Time Series.
 j) Calculate co-efficient of correlation when Covariance of x and y is 488 and variance of x is 824 and variance of y is 325.

SECTION – B

2. The median and mode of the following wage distribution are known to be Rs. 33.5 and Rs. 34 respectively. Three frequency values from the table are however missing. Find out the missing frequencies when sum of frequencies is 230.
Wages (Rs.) :   0-10 10-20 20-30 30-40 40-50 50-60 60-70
No. of persons : 4     16     —     —      —      6        4
3. Calculate S. D. and its Coefficient from following data.
Classes   0-5    5-10  10-20         20-30         30-40         40-60
Frequency        4       8        10      15      9        7
Unit - II
4. From the following data, calculate coefficient of correlation between the age of students  and their playing habits.
Age (yrs.)        15     16     17     18      19      20
No. of Student          250    200    150   120   100   80
Regular players         200   150   90     48     30     12
5. Give two regression equations x y x y 2 5, 2 3 8 and variance of x 12 calculate variance of y, coefficient of correlation between x and y. Also estimate y when x 1

Unit - III
6. Below are given the production figures (in thousand quintals) of sugar factory. Fit a  straight line trend and plot the figures on graph.
Year                1981 1982 1983 1984  1985 1986          1987
Production in   80     90     92      83      94     99     92
ooo quintals)
7. Calculate Fisher's ideal index number for following data and show that it satisfies (1) Time Reversal Test and (11) Factor Reversal test.
Base year
Current year
Commodity
Price
Quantity
Price
Quantity

A
65
500
108
560
B
28
124
29
148
C
47
69
82
87
D
109
38
134
24
E
86
49
108
17

Unit - IV
8. A husband and wife appear in an interview for two vacancies in the same post. The  probability of husband's selection is 1and that of wife's selection is , What is the probability that
 a) at least one of them is selected
 b) both of them are selected
 c) only one of them will be selected
 d) None of them will be selected
9. Explain the following terms
 i) Mutually exclusive and equally likely events
 ii) Independent and dependent events
 iii) Simple and compound events.

 iv) Exhaustive and Complementary events. 

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