Coefficient of Variation
Presentation
•
Mathematics
•
11th - 12th Grade
•
Medium
Elizabeth Borres
Used 12+ times
FREE Resource
13 Slides • 17 Questions
1
Coefficient of Variation
Ph-USA Guru
2
Today, we will
Review the previous measures of variability.
Define coefficient of variation.
Solve for the coefficient of variations.
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Please take down NOTES...
Copy important facts and formulas.
4
Poll
Are you ready for the review?
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Fill in the Blanks
Find the range: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2
Type answer...
6
Fill in the Blanks
Find the median: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2
Type answer...
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Fill in the Blanks
What is the interquartile range (IQR) of the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2?
Type answer...
8
Fill in the Blanks
Given 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the mean?
Type answer...
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Fill in the Blanks
Use the value of the mean 4 to find the Mean Absolute Deviation: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2.
Type answer...
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Multiple Choice
Solve for the population variance: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2.
4.5
5.6
4.1
6.5
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Multiple Choice
Solve for the sample variance: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2.
4.5
5.6
4.1
6.22
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Multiple Choice
Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the population standard deviation?
2.34
2.37
2.47
2.49
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Multiple Choice
Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the sample standard deviation?
2.34
2.37
2.47
2.49
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Poll
Do you have any question?
15
Open Ended
For those who says yes, please type it here.
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17
Overview:
The variance and the standard deviation are useful as measures of variation of the values of a single variable for a single population (or sample).
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Overview:
If we want to compare the variation of two variables we cannot use the variance or the standard deviation because:
1. The variables might have different units.
2. The variables might have different means.
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Overview:
We need a measure of the relative variation that will not depend on either the units or on how large the values are. This measure is the coefficient of variation (C.V.) which is defined by:
Coefficient of Variation = MeanStandard Deviationx 100%20
What is Coefficient of Variation?
Coefficient of Variation refers to the statistical measure which helps in measuring the dispersion of the various data points in the data series around mean and is calculated by dividing the standard deviation by mean and multiplying the resultant with 100.
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Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the coefficient of variation?
Step 1: Find the mean.
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Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the coefficient of variation?
Step 2. Subtract the mean from each score.
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Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the coefficient of variation?
Step 3: Take the square of the difference.
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Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the coefficient of variation?
Step 4: Compute for the standard deviation.
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Given the following data 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, what is the coefficient of variation?
cv =XSD x 100%Step 4: Use the formula.
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Multiple Choice
Given the following data: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, find the population coefficient of variation.
cvp=XSD x 100%59.25%
62.25%
69.25%
72.25%
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Multiple Choice
Given the following data: 4, 6, 3, 7, 9, 4, 2, 1, 4, 2, find the sample coefficient of variation.
cvs = XSD x 100%59.25%
62.25%
69.25%
72.25%
28
Poll
Do you have any question?
29
Open Ended
For those who says yes, please type it here.
30
Open Ended
Journal: When do we use coefficient of variation?
Coefficient of Variation
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