Find the Range, Variance, and Standard Deviation for the given samples. 1. 3, 5, 2, 3,9 2. 12, 11, 32, 5, 1 3. -6, -8,9,-18, 12
Find the Range, Variance, and Standard Deviation for the given samples. 1. 3, 5, 2, 3,9 2. 12, 11, 32, 5, 1 3. -6, -8,9,-18, 12
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Note: Guide lesson is in the photo attached
Transcribed Image Text:GUIDE
Common measures
The Variance and Standard Deviation
The variance and standard deviation of Grouped Data is given by the
formula
3²-Ef(x-2)²
2f(x − 1)2
R-for Variance
m-1
✓
Example
Compute the standard deviation of the following grade
distribution of 40 students based on their 25-point test.
Class
Frequenc
5-7
2
8-10
4
11-13
14
14-16
9
17-19
6
20-22
3
23-25
2
Solution
5-7
2
8-10
4
11-13
14
14-16
9
17-19
6
20-22
3
23-25
2
n = 40
Solution
Σ/(x-2)²
H-1
733.5
40-1
733.5
39
s²
6
9
12
15
18
21
24
=
fx 570
n
40
12
36
168
135
108
63
48
fx=570
XE
-=14.25
-8.25
-5.25
-2.25
.75
3.75
6.75
9.75
s² = 18.80769
S=√18.80769
S=434
for Standard Deviation
68.0625
136.125
27.5625
110.25
5.0625
70.875
5625
5.0625
14.0625
84.375
45.5625 136.6875
95.0625 190.125
Σf(x-x)²-733.5
12
14-15/22 ⠀⠀
Transcribed Image Text:PROBLEM SET NUMBER 7: Measure of Variability for ungrouped data
Find the Range, Variance, and Standard Deviation for the given samples.
1. 3, 5, 2, 3,9
2. 12, 11, 32, 5, 1
3. -6, -8, 9, -18, 12
4. 2.34, 5.21, 8.21, 4.31
5. 32.1, 23.4, 12.4, 65.7
6.38,3
7. 20, 21, 22, 23, 24
8. 123, 121, 133, 45
9. 123, 1211, 133, 45
10.99, 88, 99, 87,85
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