Guru Nanak Dev University 2009-2nd Year B.C.A Computer Application Bachelor of Computer Applicat,ion Part-,Numerical Methods and Statistical Techniques - Question Paper

Note:Attempt any Five ques..All ques. carry equal marks.Only non-programmable and non-storage kind calculator allowed.

1.(a) explain the different kinds of errors that occur while performing numerical calculations.
[Marks 6]

(b) provided that root of linear formula :
x3-x-4=0
lies in the 4th interval (1.0,2.0). obtain the root accurate to 3 decimals using false position method.
[Marks 14]

2.(a) Solve the subsequent system of equation:
x + y + z = 3
2x + +3y + z = 6
x - y - z = -3
using gauss elimination method.
[Marks 10]

(b) explain Gauss-Seidal Meathod of solving system of linear equations.
[Marks 10]

3.(a) provided values of table as:
x 2.0 2.25 2.50 2.75 3.0
y nine 10.06 11.25 12.56 14
obtain y(2.35) using forward difference interpolation method.
[Marks 10]

(b) provided a table of values for the function as:
X : one 1.5 2.0 2.5 3.0 3.5
Y : 6.2 7.5 9.0 10.0 11.5 12.0
[Marks 10]

4.(a) The function f(x) is provided as follows :

x : 0 0.1 0.2 0.3 0.4 0.5

y : one 1.01 1.04 1.09 1.16 1.25

x : 0.6 0.7 0.8 0.9 1.0

z : 1.36 1.49 1.64 1.81 two

compute the integral of f(x) ranging from x = 0 and x = 1.
[Marks 10]

(b) discuss Backward Difference Interpolation Method.
[Marks 10]

5.(a) compute median from the subsequent frequency distribution:

Marks No. of Students

five 20
10 43
15 20
20 67
25 72
30 45
35 39
40 nine
45 8
50 6
[Marks 10]

(b) The avg. salary of male employees in a firm was Rs. 520 and that of female was Rs. 420. The mean salary of all employees was Rs. 500. obtain the percentage of male and female employees.
[Marks 10]

6.(a) compute mean deviation for the subsequent data:
No. of colds experienced No. of Persons

0 15
one 46
two 91
three 162
four 110
five 95
six 82
seven 26
eight 13
nine 2
[Marks 10]

(b) describe the term Kurtosis,skewness,coefficient of variance ,moments.
[Marks 10]

7.(a) The subsequent table provided the outcome of 10+2 held in 2010:
Age of candidate %age Failure
15-16 32.9
16-17 40.6
17-18 43.4
18-19 34.2
19-20 36.6
20-21 39.2
21-22 48.9
22-23 47.1
23-24 54.5
compute Karl Pearsons coefficient of correlation.
[Marks 10]

(b) From the subsequent data,obtain the 2 regression equations:

X : six two 10 four 8
Y : nine 11 five eight 7
[Marks 10]

8.(a) Fit a 2nd degree parabolic to the subsequent data:

X : one two three four five six seven eight 9
Y : two six seven eight 10 11 11 10 9
[Marks 10]

(b) discuss the method of fitting a straight line using the principle of lowest Square.
[Marks 10]

Earning:   Approval pending.