Homework: Section 2.4 HomeworkSaveScore: 0 of 1 pt10 of 10 (9 complete) vHW Score: 70%, 7 of 10 pts2.4.47Question HelpThe ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for each of the two data sets. Then compare theresults.E Click the icon to view the data sets.CV neights= % (Round to one decimal place as needed.)Data TableHeightsAges782378267423782475257827773175287926783674367837Enter your answer in the answer box and then click ChePrintDone2 partsremainingClear AllCheck Answer近

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Description: Homework: Section 2.4 HomeworkSaveScore: 0 of 1 pt10 of 10 (9 complete) vHW Score: 70%, 7 of 10 pts2.4.47Question HelpThe ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for e

CV calculation for Height (inches) The sample size is n=12n = 12. We need to compute the sample mean…

Answered: The ages (in years) and heights (in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Step 1

CV calculation for Height (inches)

The sample size is $n = 12$ . We need to compute the sample mean $\bar X$ and sample variance $s^2$ are shown in the table below:

	Height	Height²
	78	6084
	78	6084
	74	5476
	78	6084
	75	5625
	78	6084
	77	5929
	75	5625
	79	6241
	78	6084
	74	5476
	78	6084
Sum =	922	70876

The sample mean $\bar X$ is computed as follows:

$\bar X = \frac{1}{n} \sum_{i=1}^n X_i = \frac{ 922}{ 12} = 76.833$

Also, the sample variance $s^2$ is

$s^2 = \frac{ 1}{n-1}\left(\sum_{i=1}^n X_i^2 - \frac{1}{n}\left(\sum_{i=1}^n X_i\right)^2 \right) = \frac{ 1}{ 12-1}\left( 70876 - \frac{ 922^2}{ 12} \right) = 3.242$

Therefore, the sample standard deviation $s$ is

$s = \sqrt{s^2} = \sqrt{ 3.242} = 1.801$

$Now,$

$We all know that Coefficient of variation , CV is$

$C V_{h e i g h t s} = \frac{1.801}{76.833} \times 100 = 2.344 %$

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