Using the coefficient of variation, how much (%) do these

ofodse

ofodse

Answered question

2021-11-27

Using the coefficient of variation, how much (%) do these data sets vary?
(rounding to the nearest percent)
Data Set 1: x=12 and s=7
Data Set 2: x=0.12 and s=0.3

Answer & Explanation

Donald Valley

Donald Valley

Beginner2021-11-28Added 10 answers

Step 1
Obtain the coefficient of variation for the data set 1.
The coefficient of variation for the data set 1 is obtained below as follows:
From the information, given that x=12,s=7
The formula of CV is,
CV=sx×100%
=712×100%
=58.33%
=59%
The coefficient of variation for the data set 1 is 59%.
Step 2
Obtain the coefficient of variation for the data set 2.
The coefficient of variation for the data set 2 is obtained below as follows:
From the information, given that x=0.12,s=0.3.
The formula of CV is,
CV=sx×100%
=0.30.12×100%
=250%
The coefficient of variation for the data set 2 is 250%.
It is clear that the CV of data set 2 is greater than CV of data set 1 by 191%. (=25059)

Do you have a similar question?

Recalculate according to your conditions!

New Questions in High school statistics

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?