Question

The ages​ (in years) and weights​ (in pounds) of all backsrunning backs for a football team are listed. Find the coefficient of variation for each of the two data sets. Then compare the results.

LOADING...

weights 183	ages 24
209	26
215	22
180	24
205	28
188	25
195	26
196	31

CV weights= -------​%

​(Round to one decimal place as​ needed.)

Answer 1

Coefficient of variation ( CV ) :

Coefficient of variation is the ratio of the standard deviation and mean. usually it is expressed as percentage

  

Where , s is sample standard deviation and is sample mean

Coefficient of variation ( CV ) for weight -

sample mean ( ) = 196.375

{ Using Excel function, = AVERAGE( ) }

sample standard deviation = s = 12.53495

{ using Excel function, =STDEV() }

So,

= 6.4 %

Coefficient of variation ( CV ) for age-

Sample mean ( ) = 25.75

sample standard deviation = s = 2.7646.

so,

= 10.7 %

It is observed that ,

So age is more variable the weight.