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Faculty Of Education
University Of Sindh
Name: Seema Soomro
Roll # 2k17/BEDSM/51
Topic:Coefficient of variation
Assign by: Dr Amjad ali Arain
What is coefficient of variation?
• The coefficient of variation (CV) also known as
• Relative standard deviation is the ratio of the
• Standard deviation to the mean.
Coefficient of variation
– Just divide the standard deviation by the mean
and multiply
• Times 100.
• Computing the coefficient of variation
• theformula ofcoefficientofvariation is
• Coefficientofvariation=(standard deviation) /mean
• 100
For Example
A reasearcher is compairing two multiple choices test with
different conditions, in the first test, a typical multiple choice
Test is administered .
In the second test, alternative choices are randomly assigned
To test takers, the results from the two test
Regular test Randomized
answers
Mean 59.9 44.8
SD 10.2 12.7
CV 17.03 28.35
Conti…..
• Look at the standard deviation of 10.2 and
12.7,
• You might think that the test have similar
results.
• However, when you adjust for the difference
in the
• In the mean, the results have more
significance.
Example:
• Coefficient of variation
• CV = SD/mean by 100
•
• Class A Class B
• Average score 90 80
Standard deviation 3 2
Which class is consistent in scoring run
CV a = SD/meanmultiply 100 =3/90 by 100
= 3.33.
CV b = SD/meanmultiply 100 = 2/80 by 100
= 2.5.
Interpretation
• Class B is consistent against
• Class A as CV of class B is less.
THANK
YOU

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Coefficient of Variation

  • 1. Faculty Of Education University Of Sindh Name: Seema Soomro Roll # 2k17/BEDSM/51 Topic:Coefficient of variation Assign by: Dr Amjad ali Arain
  • 2. What is coefficient of variation? • The coefficient of variation (CV) also known as • Relative standard deviation is the ratio of the • Standard deviation to the mean.
  • 3. Coefficient of variation – Just divide the standard deviation by the mean and multiply • Times 100. • Computing the coefficient of variation • theformula ofcoefficientofvariation is • Coefficientofvariation=(standard deviation) /mean • 100
  • 4. For Example A reasearcher is compairing two multiple choices test with different conditions, in the first test, a typical multiple choice Test is administered . In the second test, alternative choices are randomly assigned To test takers, the results from the two test Regular test Randomized answers Mean 59.9 44.8 SD 10.2 12.7 CV 17.03 28.35
  • 5. Conti….. • Look at the standard deviation of 10.2 and 12.7, • You might think that the test have similar results. • However, when you adjust for the difference in the • In the mean, the results have more significance.
  • 6. Example: • Coefficient of variation • CV = SD/mean by 100 • • Class A Class B • Average score 90 80 Standard deviation 3 2 Which class is consistent in scoring run CV a = SD/meanmultiply 100 =3/90 by 100 = 3.33. CV b = SD/meanmultiply 100 = 2/80 by 100 = 2.5.
  • 7. Interpretation • Class B is consistent against • Class A as CV of class B is less.