Question

I need the CV heights percentage and the CV weights. Please include work along with the answers to the CV height and weight.

The coefficlent of variation CV describes the standard devlation as a percent of the mean. Because it has no units, you can use the coefficlent of varlation to compare data with different units. Find the coefficlent of varlation for each sample data set. What yau conclude? Standard deviation CV- . 100% Data Table 囲Click the icon to view the data sets. CVheight,-1 % (Round to the nearest tenth as needed.) Heights Weights 227 187 195 201 227 212 166 218 191 187 197 219 78 60 60 74 71 75 71 75 74 67 Print Done

Answer 1

Solution:

To find the CV for heights we need to find the mean and standard deviation first. The mean and standard deviation for heights are given below:

$\inline \small Mean=\frac{\sum x}{n}=\frac{78+71+68+66+68+74+71+75+71+75+74+67}{12}=\frac{858}{12}=71.5$

$\small Standard-deviation=\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}$

Now let's find the CV for weights

$\inline Mean=\frac{227+187+195+201+227+212+166+218+191+187+197+219}{12}=\frac{2427}{12}=202.25$

$\small Standard-deviation=\sqrt{\frac{\sum (x-\bar{x})^2}{n-1}}$