Periyar University 2005 B.C.A Computer Application BUSINESS STATISTICS - Question Paper

First Semester
Computer Application
BUSINESS STATISTICS
Time : 3 hours Maximum : 100 marks
part A — (5 x eight = 40 marks)
ans any 5 ques..
1. What are the methods of collecting primary data?
2. What are the merits and demerits of median?
3. compute the median and mode for the distribution of the weights of 150 students from the data provided beneath :
Weight in kg Frequency
30-40 18
40-50 37
50-60 45
60-70 27
70-80 15
80-90 8
4. discuss scatter diagram method of studying correlation.
You are provided the subsequent data :
5. x y
Arithmetic mean 36 85
Standard deviation 11 eight
Correlation coefficient ranging from x andy - 0.66. obtain 2 regression equations.
6. What are the uses of cost of residing index numbers?
7. Estimate the expectation of life at the age of 16 years by using the subsequent data :
Age (in years) 10 15 20 25 30 35
Expectation of
life (years) 35.4 32.3 29.2 26.0 23.2 20.4
8. Explain the Analysis of Time series.
part B — (3 x 20 = 60 marks) ans any 3 ques..
9. The subsequent table indicates the area in millions of I
square km of oceans of the world
Ocean Area (million sq. km)
Pacific 70.8
Atlantic 41.2 !
Indian 28.5
Antarctic 7.6
Arctic 4.8 I
Draw a pie diagram to represent the data.
10 (a) elaborate the merits and demerits of standard ! deviation?
(b) provided the subsequent outcomes relating to 2 groups containing 20 and 30 observations, compute the coefficient of variation of all the 50 observations by combining both the groups.
Groups
I II
Ix 45 55
Xx2 118 132
11. obtain Karl Pearson's correlation coefficient etween age and playing habit of the subsequent students
Age 15 16 17 18 19 20
No. of students 250 200 150 120 100 80
Regular players 200 150 90 48 30 16
12. Given log10 654 = 2.8156, log10 658= 2.8182
log10 659 = 2.8189, log10 661 = 2.8202, obtain by Lagrange'S
interpolation formula log10 656.

13. (a) discuss the merits and limitations of pattern
Fitting by Principle of lowest squares.
(b) discuss the merits and demerits of movinG avg..

Earning:   Approval pending.