Loyola College B.Com April 2009 Business Statistics Question Paper PDF Download

     LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

YB 03

B.COM. DEGREE EXAMINATION – COMMERCE

SECOND SEMESTER – April 2009

ST 2102 / 2101 / 3104 / 3101 – BUSINESS STATISTICS

 

 

 

Date & Time: 25/04/2009 / 1:00 – 4:00  Dept. No.                                                  Max. : 100 Marks

 

 

SECTION – A                    

Answer ALL the questions.                                                                              (10 x 2 = 20)

 

  1. Clarify the difference between exclusive and inclusive class interval.
  2. What are the advantages of diagrammatic representation of the data?
  3. For what type of values harmonic mean is suitable?
  4. How will you calculate median in case of ungrouped data?
  5. What is a scatter diagram?
  6. Define correlation.
  7. Define regression.
  8. What are the important properties of regression coefficient?
  9. Define index number.
  10. Define time series and write its components.

 

SECTION – B

Answer any FIVE questions.                                                                                               ( 5 x 8 = 40)

 

  1. Draw the histogram, frequency curve and frequency polygon for the following data.

 

Weekly wages( in Rs.) No. of workers
10 – 15 7
15 – 20 19
20 – 25 27
25 – 30 15
30 – 35 12
35 – 40 12
40 – 45 10
45 – 50 8

 

  1. The average score of girls in class X examination in a school is 67 and that of boys is 63. The average score for the whole class is 64.5, find the percentage of girls and boys in the class.

 

 

  1. The following are the run scored by two batsman A and B in ten innings.

 

A 101 27 0 36 82 45 7 13 65 14
B 97 12 40 96 13 8 85 8 56 15

Who is more consistent?

 

 

  1. Calculate the Karl Pearson’s coefficient correlation between the marks in English and Hindi obtained by 10 students.
Marks in English 10 25 13 25 22 11 12 25 21 20
Marks in Hindi 12 22 16 15 18 18. 17 23 24 17

 

 

  1. Construct a 4 – year centered moving average from the following data.
Year 1940 1950 1960 1970 1980 1990 2000
Imported cotton consumption

(in India ‘000 bales)

129 131 106 91 95 84 93

 

 

 

  1. Compute Laspeyre’s, Paasche’s, Fisher’s and Kelly’s Price index numbers for 2005 for the following data.

 

Commodity 2000 2005
Price Rs. Quantity Price Quantity
A

B

C

15

20

4

15

5

10

22

27

7

12

4

5

 

  1. Explain the components of time series.

 

  1. Find the minimum value of

z = –  x1 + x2

subject to the constraints

–  x1 + 3 x2  ≤ 10

x1 +  x2    ≤ 6

x1 –  x2   ≤ 10

x1 , x2  ≥ 0.

 

SECTION –C

Answer any TWO questions.                                                                            ( 2 x 20 =40)

 

  1. Find the median, lower quartile, 7th decile and 85th percentile of the frequency distribution given below.
Marks in statistics Below 10 10-20 20-30 30-40 40-50 50-60 60-70 Above70
No. of students 8 12 20 32 30 28 12 4

 

20 a). Ten competitors in a beauty contest are ranked by three judges in the following  orders:

 

1st  Judge 1 6 5 10 3 2 4 9 7 8
2nd Judge 3 5 8 4 7 10 2 1 6 9
3rd Judge 6 4 9 8 1 2 3 10 5 7

 

Use the correlation coefficient to determine which pair of judges has the nearest approach to common

taste in beauty.

 

b). From the following data, obtain two regression equations:

 

Sales 91 97 108 121 67 124 51 73 111 57
Purchases 71 75 69 97 70 91 39 61 80 47

 

21). Find the seasonal variations by Ratio Trend method from the data given below.

Year 1st Quarter 2nd  Quarter 3rd  Quarter 4th  Quarter
1987 34 54 38 38
1988 36 60 52 48
1989 40 58 56 52
1990 52 76 64 58
1991 70 90 88 84

 

22). Obtain an initial basic feasible solution to the following transportation problem by

(i). North-west corner rule          (ii) Least cost  method

(iii). Vogel’s approximation methods.

 

Destination/

origin

D E F G Availability

 

A 11 13 17 14 250
B 16 18 14 10 300
C 21 24 13 10 400
Requirement 200 225 275 250

 

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