1. Find the variance and standard deviation for the five states with the most covered bridges: Oregon: 106 Vermont: 121 Indiana: 152 Ohio: 234 Pennsylvania: 347

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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Do number 1,2,3,4. This is not graded.
22
22 - 19.2 = 2.8
7.84
19
19- 19.2 = -0.2
0.04
25 - 19.2 = 5.8
12- 19.2 = -7.2
25
mean
33.64
12
96 +5 = 19.2
51.84
94.80 e sum of squares
94.8
To find the variance, we divide 5-1= 4.
= 23.7
Finally, we find the square root of this variance.
V23.7 = 4.9
So the standard deviation for the temperatures recorded is 4.9; the variance is 23.7. Note that the values in the second
example were much closer to the mean than those in the first example. This resulted in a smaller standard deviation.
We can write the formula for the standard deviation as s=
n-1
where
Σ
means "the sum of"
represents each value x in the date
is the mean of the x values
is the total of x values
PRACTICE PROBLEMS
1. Find the variance and standard deviation for the five states with the most covered bridges:
Oregon: 106 Vermont: 121
Indiana: 152
Ohio: 234
Pennsylvania: 347
2. Find the variance and standard deviation of the heights of five tallest skyscrapers in the United States:
Sears Tower (Willis Building): 1450 feet
Empire State Building: 1250 feet
One World Trade Center: 1776 feet Trump Tower: 1388 feet
2 World Trade Center: 1340 feet
3. Find the variance and standard deviation of the scores on the most recent reading test:
7.7, 7.4, 7.3, and 7.9
4. Find the variance and standard deviation of the highest temperatures recorded in eight specific states:
112, 100, 127, 120, 134, 118, 105, and 110.
SOLUTIONS
1. 9956.5; 99.8
2. 40,449.2; 201.12
3. 0.076; 0.275
4. 127.6; 11.3
Transcribed Image Text:22 22 - 19.2 = 2.8 7.84 19 19- 19.2 = -0.2 0.04 25 - 19.2 = 5.8 12- 19.2 = -7.2 25 mean 33.64 12 96 +5 = 19.2 51.84 94.80 e sum of squares 94.8 To find the variance, we divide 5-1= 4. = 23.7 Finally, we find the square root of this variance. V23.7 = 4.9 So the standard deviation for the temperatures recorded is 4.9; the variance is 23.7. Note that the values in the second example were much closer to the mean than those in the first example. This resulted in a smaller standard deviation. We can write the formula for the standard deviation as s= n-1 where Σ means "the sum of" represents each value x in the date is the mean of the x values is the total of x values PRACTICE PROBLEMS 1. Find the variance and standard deviation for the five states with the most covered bridges: Oregon: 106 Vermont: 121 Indiana: 152 Ohio: 234 Pennsylvania: 347 2. Find the variance and standard deviation of the heights of five tallest skyscrapers in the United States: Sears Tower (Willis Building): 1450 feet Empire State Building: 1250 feet One World Trade Center: 1776 feet Trump Tower: 1388 feet 2 World Trade Center: 1340 feet 3. Find the variance and standard deviation of the scores on the most recent reading test: 7.7, 7.4, 7.3, and 7.9 4. Find the variance and standard deviation of the highest temperatures recorded in eight specific states: 112, 100, 127, 120, 134, 118, 105, and 110. SOLUTIONS 1. 9956.5; 99.8 2. 40,449.2; 201.12 3. 0.076; 0.275 4. 127.6; 11.3
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