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NMST (2nd) May2017

This document outlines the exam format for the BCA 2nd Semester Numerical Methods and Statistical Techniques paper, including instructions for candidates and the types of questions to be answered. It consists of various topics such as errors in numerical computations, fitting polynomials, statistical measures, and integration methods. The exam is structured to assess knowledge through multiple questions, each carrying equal marks.

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Siya Bhatia
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26 views3 pages

NMST (2nd) May2017

This document outlines the exam format for the BCA 2nd Semester Numerical Methods and Statistical Techniques paper, including instructions for candidates and the types of questions to be answered. It consists of various topics such as errors in numerical computations, fitting polynomials, statistical measures, and integration methods. The exam is structured to assess knowledge through multiple questions, each carrying equal marks.

Uploaded by

Siya Bhatia
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Exam.

Code : 107202
Subject Code : 2045

BCA 2 nd Semester

NUMERICAL METHODS AND STATISTICAL


TECHNIQUES

Paper—III

Time Allowed—Three Hours] [Maximum Marks-75

five questions.
o m
Note :— (1) Candidates are required to attempt

.r c
(2) All questions carry equal marks.

I.
p e
(a) Discuss the various types of errors that occur
m
a
while performing numerical computations.
o
r p .r c
(b) Describe the terms kurtosis, skewness, coefficient

bof variance, moments.

2. (a) Fit a Lagrange polynomial to the data :


p e
x 1 2
p
3 a 5

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

(b) What are Forward Difference and Backward


Difference Interpolation Methods ?
3083(2517)/STB-14036 (Contd.)
3. Find the mean deviation and standard deviation of the
following data :

No. of Colds No. of Persons

Experienced

0 15
1 46

2 91

3 162

om
4 110

.r c
5 95

6 85

p
7 e 26
m
p a 8 13
c o
r r .
b 9 2

p e
(a) What are the errors in Trapezoidal and Simpson's
rule of numerical integration ?

p a
b r
(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(2517)/STB-14036 2 (Contd.)
5. Using Newton's divided difference formula find
f(3), given :
x 0 1 2 4 5
f(x) 1 14 15 5 6
6. (a) Discuss the difference between mean, median and
mode.
(b) Explain Least Square Fit Linear and Non-Linear
trend.
7. (a) Explain the methods of bi-section.

(b) Evaluate ∫
1 1
∫ 1
o m
by Trapezoidal rule.

.r c
0 0 1+x+y
8. Given : y" + xy' + y = 0, y(0) = 1, y 1 (0) = 0, find the
e
value of y(0.1) by Runge-Kutta's method of fourth
p m
order.
a o
rp .r c
b p e
p a
b r

3083(2517)/STB-14036 3 9000

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