Respuesta :
Answer: b. 30%
Step-by-step explanation:
- A measure of relative variability is known as coefficient of variation. It is the ratio of the standard deviation to the mean.
i.e. [tex]CV=\dfrac{\sigma}{\mu}[/tex]
Given: mean = [tex]\mu=90[/tex]
Variance = [tex]\sigma^2 = 729[/tex]
[tex]\sigma=\sqrt{729}=27[/tex]
Now, [tex]CV=\dfrac{27}{90}=0.3[/tex]
in percent , [tex]CV= 0.3\times100\%= 30\%[/tex]
Hence, correct option is b. 30%.
Based on the information given the coefficient of variation is b. 30%.
Coefficient of variation
Using this formula
Coefficient of variation=√Variance/Mean
Let plug in the formula
Coefficient of variation=√729/90
Coefficient of variation=27/90
Coefficient of variation=0.3×100
Coefficient of variation=30%
Inconclusion the coefficient of variation is b. 30%.
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