Answered

Get expert advice and community support on IDNLearn.com. Join our community to receive prompt and reliable responses to your questions from knowledgeable professionals.

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 :

JeanaShuppidn

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%.

Abiolataiwo2015idn

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

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com. We’re committed to providing accurate answers, so visit us again soon.