Assignment 3 Questions 2022

Running head: ASSIGNMENT 3
ASSIGNMENT 3
Name of the Student
Name of the University
Author Note

ASSIGNMENT 31
Question 1:
1.
The first 10 values of down range and cross range are given below.
% Down Cross
-
2.01E+00
1.01E+00
-
1.33E+00
7.52E-02
-
3.02E+00
1.18E+00
3.02E+00 -4.21E-
01
7.83E-01 1.04E+00
1.40E+00 2.71E-02
1.48E+00 -7.48E-
01
1.40E+00 -1.34E-
01
-4.81E-
01
3.51E-02
1.53E+00 -2.60E-
01

ASSIGNMENT 32
The sample mean of down-range is the average of the 10 values = 0.277 and sample standard
deviation is given by,
1
n−1 ∑
i=1
n
( x ¿¿ i−sample mean)2 ¿ = 1.9031
Similarly, the sample mean of cross-range = 0.181 and sample standard deviation = 0.667
2.
Now, the first 20 values of cross and down range are copied from the excel file and then the
maximum and minimum of those two variables are calculated as given below.
down
min -
3.02E+00
max 3.05E+00
cross cross
min -
1.16E+00
max 1.18E+00
Now, the total 20 data points for each variable is divided in equal segments and their corresponding
relative, absolute and scaled frequency is calculated as given below. Absolute frequency is the
occurrence of the data points within the specified class range, relative frequency is the percentage of
values in the class range and scaled frequency is the probability values within the class which
calculated by the proportion of values in the class range.

ASSIGNMENT 33
Down range
class range Absol
ute
Freq
uency
Relativ
e
frequen
cy(%)
Scaled
frequency(p
robability)
less than -2 2 10 0.1
from -2 to -1 3 15 0.15
from -1 to 0 2 10 0.1
from 0 to 1 4 20 0.2
from 1 to 2 5 25 0.25
from 2 to 3 2 10 0.1
more than 3 2 10 0.1
Total 20 100 1
Cross range
bin Absol
ute
Freq
uency
Relativ
e
freque
ncy(%)
Scaled
frequency(p
robability)
less than -1 1 5 0.05
from -1 to -0.5 1 5 0.05
from -0.5 to 0 8 40 0.4
from 0 to 0.5 6 30 0.3
from 0.5 to 1 1 5 0.05
More than 1 3 15 0.15

ASSIGNMENT 34
total 20 100 1
MATLAB code for plotting pdfs:
downscalfreq = [0.1
0.15
0.1
0.2
0.25
0.1
0.1
];
figure(1)
bar(downscalfreq)
title('PDF of down range')
set(gca, 'XTickLabel',{"less than -2","from -2 to -1","from -1 to 0","from 0 to 1","from 1 to
2","from 2 to 3","more than 3"});
ylabel('Probability')
crossfreq = [0.05
0.05

ASSIGNMENT 35
0.4
0.3
0.05
0.15
];
figure(2)
bar(crossfreq)
title('PDF of cross range')
set(gca,'XTickLabel',{"less than -1","from -1 to -0.5","from -0.5 to 0","from 0 to 0.5","from
0.5 to 1","More than 1"});
ylabel('Probability')
Plots:

ASSIGNMENT 36
PDF of down range
less than -2 from -2 to -1 from -1 to 0 from 0 to 1 from 1 to 2 from 2 to 3 more than 3
0
0.05
0.1
0.15
0.2
0.25
Probability
PDF of cross range
less than -1 from -1 to -0.5 from -0.5 to 0 from 0 to 0.5 from 0.5 to 1 More than 1
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
Probability
3.

ASSIGNMENT 37
MATLAB code for verification:
downrange = [-2.01E+00
-1.33E+00
-3.02E+00
3.02E+00
7.83E-01
1.40E+00
1.48E+00
1.40E+00
-4.81E-01
1.53E+00
8.22E-01
-3.13E-01
-1.58E+00
-1.40E+00
3.05E+00
1.74E+00
2.44E+00
2.46E-01
2.01E+00