Amity BA Economics Solved Assignment for Business Statistics | SolveZone
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Amity BA Economics Solved Assignment for Business Statistics

University  Amity blog
Service Type Blog
Course Assignment
Semester
Short Name or Subject Code Business Statistics
Product Assignment of Blog (Amity blog)
Pattern Section A,B,C Wise
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                                                           Business Statistics


Assignment A
Q.1 Q1.) Find the Bowley’s coefficient of skewness form the following data.
X:    1-10    11-20    21-30    31-40     41-50     51-60     61-70
F:        5         15        25          10           6             5            4
Q.2 Q2.) For a distribution, Bowley’s Coefficient of skewness is (-) 0.36,
Q1= 8.6 and Median = 12.3. what is its quartile coefficient of dispersion?
Q3.) A sample of size 50 has mean 20 and deviation 5. The value at highest concentration point is 16. it was later discovered that an item 12 was misread 30, find the value of coefficient of skewness.
Q4.) Obtain two regression equation from the following data:
X:   25   28   35   32   31   36   29   38   34   32
Y:   43   46   49   41   36   32   31   30   33   39
Q5.) The following table gives the ages of husbands and wives for 50 newly married couples. Find the two regression equations. Estimate the age of husband when the age of wife is 20 and the age of wife when the age of husband is 30.
 
Age of Wives
        Age of Husbands        Total
       
    20-25    25-30    30-35
           
16 – 20    9    14    --    23       
20 – 24    6    11    3    20       
24 – 28    --    --    7    7       
Total    15    25    10    50     
                  

Assignment B
1. The rank correlation coefficient between marks obtained by some students in ‘Statistics’ and ‘Accountancy’ is 0.8. If the total of squares of rank differences is 33, find the number of students.

2. Find 4-yearly moving averages from the following time series data
Year:                1968    1969     1970     1971     1972     1973      1974
Production:        30        45         39         41         42          46         49
(’000 units)


3. An urn contains 8 red, 3 white and 9 blue balls. If 3 balls are drawn at random, determine the probability that (a) all 3 are red, (b) all 3 are white, (c) 2 are red and 1 blue ball, (d) one of each colour is drawn, and (e) balls are drawn in the order red, white and blue.


Case Study:
The ranks of the same 16 students tests in Mathematics and Statistics were as follows, the two numbers within brackets denoting the ranks of the of the same student in Mathematics and Statistics respectively.

          (1,1)               (2,10)
          (3,3)                (4,4)
          (5,5)                (6,7)
          (7,2)               (8,6)
          (9,8)               (10,11)
          (11,15)           (12,9)
          (13,14)           (14,12)
          (15,16)           (16,13)


   

(A) Calculate the rank correlation coefficient for proficiencies of this group in Mathematics and Statistics.


Thus there is a high degree of correlation between the student’s marks in mathematics & statistics.

(B) What does the value of the coefficient obtained indicate?


(C) If you had found out Karl Pearson’s simple coefficient of correlation between the ranks of these 16 students, would your result have been the same as obtained in (A) or different?

Assignment C (Multiple choice Objective Questions)

1. Who stated that statistics is a branch of applied mathematics which specializes in data?
Horace Secrist
R. A. Fisher
Ya-lun-chou
L. R. Connor 

2. If the quartile deviation of a series is 60, the mean deviation of this series 
72
48
50
75

3. Which measure of dispersion is least affected by extreme values?
range 
mean deviation
standard deviation 
quartile deviation

4. If the minimum value in a set is 9 and its range is 57, the maximum value of the set is 
33
66
48
none of the above

5. The range of values for the frequency distribution given in the following frequency distribution is:-
Classes                 Frequency
2– 4                               2
4– 6                               5
6– 8                               4
8– 10 1
02
10
08
06

6. The range of the set of values, 15, 12, 27, 6, 9, 18, 21, is
21
4.5
0.64
03

7. For the table given as follows, calculate the coefficient of quartile deviation:-

Classes               Frequency

2– 4                            2
4– 6                            5
6– 8                            4
8– 1                          01
4.385
0.228
2.6
11.4

8. The coefficient of range for the values 15, 12, 27, 6, 9, 18, 21 is:-
1.571
4.500
0.636
0.222

9. If p=1, the angle between the two lines of regression is 
zero degree
ninety degree 
sixty degree 
thirty degree 

10. To test the linearity of a regression equation, one needs 
Error S. S. other than residual S.S.
Residual S.S.
both (a) and (b) 
neither (a) nor (b)

11. Regression coefficient is independent of the change of 
scale 
origin 
both origin and scale 
neither origin nor scale 

12. Let the coefficient of correlation be 0.7. Then the coefficient of alienation
0.51
0.71
0.49
None of the above 

13. The number of categories in which the potential parameters of a model can be specified are 
one 
two 
three
four

14. Cycles in a time series are regular in 
periodicity
Amplitude
Both (a) and (b)
Neither (a) nor (b)

15. Moving average method of ascertaining trend is not suitable for 
Finding trend values 
Projections
Both (a) and (b)
Neither (a) nor (b)

16. Simple average method is used to calculate 
Trend values 
Cyclic variations 
Seasonal indices
None of these

17. In case of multiplicative model, the sum of seasonal indices is 
100 times the number of seasons 
Zero
100
Any of the above 

18. In ratio to trend method the median of the trend free indices for each period represents 
The seasonal indices 
Cyclic variation 
Irregular variation 
none of the above 

19. Ratio to trend method for seasonal indices provides good results if 
The periods are of long duration 
The periods are given six monthly 
The periods are of short duration 
All the above situations 

20. The best method for finding out seasonal variation is 
Simple average method
Ratio to moving average method 
Ratio to trend method 
None of the above 

21. The moving averages in a time series are 
Seasonal and cyclic variations 
Seasonal and irregular variations 
Trend and cyclical variations 
Trend and random variations 

22. Link relative in a time series remove the influence of 
The trend 
Cyclic variations 
Irregular variations 
All the above 

23. Cyclic variations are interwoven with 
Trend
Seasonal variations 
Irregular variations 
All the above 

24. Graphically cycles of a time series are identifiable through 
troughs and crests 
concave and convex
cups and crests
all the above 

25. In percentage ratio method of measuring cyclic variations one finds 
Actual changes 
Relative changes 
Per cent ratio changes 
All the above 

26. A time series is affected by
Economic factors 
Non-economic factors 
Both (a) and (b)
Neither (a) nor (b)

27. Irregular variations are 
regular
Cyclic
Episode
All the above 

28. Trend can not be 
Linear
Non-linear
S-shaped in a short duration 
None of these

29. Method of least squares for determining trend is used when 
Trend is known 
Trend is curvilinear
The value Y is not a function of time t
None of the above 

30. If the slope of the trend line is positive, it shows 
Rising trend 
Declining trend 
Stagnation
Any of the above 

31. To which component of the time series, the term recession is attached?
Trend
Seasonal
Cycles
Random variation 

32. The probability of all possible outcomes of a random experiment is always equal to
Infinity
Zero
One
None of the above 

33. In tossing three coins at a time the probability of getting at most one head is 
3/8 
7/8 
1/2 
1/8 

34. The probability of two persons being borned on the same day (ignoring date) is 
1/49
1/365
1/7
None of the above

35. Three dice are rolled simultaneously. The probability of getting 12 spots 
1/8
25/216
1/12
None of the above

36. The probability of throwing an odd sum with two fair dice is 
1⁄4
1/16
1
1⁄2

37. The probability that a leap year will have 53 Sunday is 
1/7
2/7
2/53
52/53

38. With a pair of dice thrown at a time, the probability of getting a sum more than that of 9 is
5/18
7/36
5/6
None of the above

39. An urn contains four tickets marked with numbers 112, 121, 211, 222 and one ticket is drawn at random. Let Ai (I = 1,2, 3) be the event that ith digit of the number of the ticket drawn is 1. Are the events A1, A2 and A3:-
Dependent
Independent
Mutually exclusive 
None of the above

40. A group consists of 4 men, 3 women and 2 boys. Three persons are selected at random. The probability that two men are selected is 
3/28
7/28
5/28
5/14
Question No.  40    
Fisher’s ideal index is    
Options    
A.M. of Laspeyre’s and Paasche’s index    
Median  of Laspeyre’s and Paasche’s index    
G.M. of Laspeyre’s and Paasche’s index    
H.M.of Laspeyre’s and Paasche’s index