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The hourly wages of a sample of 130 system analysts are given below.

mean=90
mode= 103
median =104
range =18
variance= 729

Find the coefficient of variation.

a. 0.30%
b. 30%
c. 8.1%
d. 81%

Sagot :

JeanaShupp

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%.

abiolataiwo2015

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%.

Learn more about coefficient of variation here:https://brainly.com/question/12327871

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