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Exam. Code: 107202 Subject Code: 2045: Five Questions

This document is a past exam paper for BCA 2nd Semester Numerical Methods and Statistical Techniques from a2zpapers.com. It contains 8 questions covering various topics: [1] types of errors in numerical computations and statistical terms; [2] Lagrange polynomial interpolation and other interpolation methods; [3] mean deviation and standard deviation; [4] errors in numerical integration methods and percentage calculations; [5] Newton's divided difference formula; [6] differences between mean, median, and mode and linear/non-linear trend analysis; [7] bisection method and Trapezoidal integration; [8] solving a differential equation using the Runge-Kutta method of fourth order. The exam has

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450 views3 pages

Exam. Code: 107202 Subject Code: 2045: Five Questions

This document is a past exam paper for BCA 2nd Semester Numerical Methods and Statistical Techniques from a2zpapers.com. It contains 8 questions covering various topics: [1] types of errors in numerical computations and statistical terms; [2] Lagrange polynomial interpolation and other interpolation methods; [3] mean deviation and standard deviation; [4] errors in numerical integration methods and percentage calculations; [5] Newton's divided difference formula; [6] differences between mean, median, and mode and linear/non-linear trend analysis; [7] bisection method and Trapezoidal integration; [8] solving a differential equation using the Runge-Kutta method of fourth order. The exam has

Uploaded by

Satnam Azrot
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Exam. Code : 107202


Subject Code: 2045

BCA 2nd Semester

NUMERICAL METHODS AND STATISTICAL


TECHNIQUES

Paper-III
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Time Allowed-Three Hours] [Maximum Marks-75

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Note ;- (1) Candidates are required to attempt
five questions.

(2) All questions carry equal marks.


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1. (a) Discuss the various types of errors that occur
while performing numerical computations.

(b) Describe the terms kurtosis, skewness, coefficient


of variance, moments.

2. {a) Fit a Lagrange polynomial to the data ;

x 1 2 3 5

y 0 1 26 124
I I I
And hence find y when x = 3.5.

(b) What are Forward Difference and Backward


Difference Interpolation Methods ?
3083(2S17)/STB-14036 1 (Contd.)

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3. Find the mean deviation and standard deviation of the


following data :

No. of Colds No. of Persons

Experienced

0 15

1 46
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2 91

3 162

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4 110

5 95
.
6 85
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7 26

8 13

9 2

4. (a) What are the errors in Trapezoidal and Simpson's


rule of numerical integration ?
(b) The average 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.

3083(25 t 7)/STB-14036 2 (Contd.)

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5. Using Newton's divided difference formula find


f(3), given:
1 2 4 5
I q:) I ° 1
I 14 15 5
I 6
I
6. (a) Discuss the difference between mean, median and
mode.
(b) Explain Least Square Fit Linear and Non-Linear
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trend.
7. (a) Explain the methods of bi-section.

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r1 r1 1
(b) Evaluate Jo Jo 1+ x + y by Trapezoidal rule.

8. Given: .y" + xy' + Y = 0, yeO)= 1, y'(O) = 0, find the


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value of y(O.I) by Runge-Kutta's method of fourth
order.

3083(2S17)/sTB-14036 3 9000

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