Madras University (UnOM) 2006 B.C.A Computer Application Statistical and Numerical Methods - Question Paper

Time: 3 hours
Maximum: 100 marks

Use of Statistical Table is permitted.

PART A - [5 x eight = Marks 40]

ans any 5 ques..
All ques. carry equal marks.

1. compute mean and median of the subsequent series.


Wages No. of Wages No. of
workers workers

100-105 200 130-135 410


105-110 210 135-140 320


110-115 230 140-145 280


115-120 320 145-150 210


120-125 350 150-155 160


125-130 520 155-160 90

2. provided the subsequent data, which series is more variable?
Variable Series A Series B
15 10 18
25 18 22
35 32 40
45 40 32
55 22 18
65 18 10


3. A number is chosen at random from one to 40. What is the probability that the chosen number is either a multiple of two or three or 5?

4. The scores made by candidates on a test are normally distributed with mean 500 and standard deviation 100. What percentages of the candidates receive scores :

(a) exceeding 700
(b) less than 400

W ranging from 400 and 600.

5. What is systematic random sampling? How does it differ from purposive sampling? discuss the advantages of purposive sampling.

6. obtain the rank correlation coefficient ranging from X and Y from the data provided below:

X: 42 36 38 42 35 27 43 42 38
Y 65 32 40 65 42 52 48 52 40

7. obtain the value of y(1. 1) using the subsequent data:

X 1.0 1.1 1.2 1.3 1.4 1.5 1.6
Y 2.7 4.2 5.8 7.2 10.6 12.8 16.2

8. Evaluate the value of I= one dx using f

Trapezoidal rule with h = 0.25.


PART B - [3 x 20 = Marks 60]
ans any 3 ques..
All ques. carry equal marks.

9. compute P, and 02 (measures of skewness and kurtosis) of the subsequent frequency distribution:

X two three four five 6
f one three seven two one

10. Fit a Poisson distribution to the subsequent data:
Deaths : 0 one two three four five 6
Frequency: 120 90 60 50 40 30 20

11. Random samples from 2 countries gave the subsequent data:
Country A Country B
Mean heights 67.42 67.25
Standard deviation 2.58 2.50
No. of samples 1000 1200
(a) Is the difference ranging from the means significant?
(b) Is the difference ranging from the standard deviation significant?

12. obtain the 2 regression lines from the following:

X: 56 55 58 58 57 56 60 54 59 57
Y: 68 67 67 70 65 68 70 66 68 66

13. obtain the Lagrange's Interpolation formula fitting the subsequent data:

X: 0 one two three four f: one two five 16 41

Earning:   Approval pending.