# Math 125 Extra Credit Assignment: Coefficients of Variation.

1)      Suppose you have a data set for a sample, and you obtain a new data set by multiplying all of the numbers in the old set by three.

a.       How will the means of the two sets compare?

b.      How will the standard deviations compare?

c.       How will the coefficients of variation compare?

d.      Would your answers be any different if you were dealing with a population instead of a sample?

2)      Suppose you measured the lengths of a population, but you realized that you consistently under-measured the lengths by two inches, so you add two to all of the measurements.

a.       How will the means of the two data sets compare?

b.      How will the standard deviations compare?

c.       How will the coefficients of variation compare?

d.      Would your answers be any different if you were dealing with a sample instead of a population?

3)      Look up the monthly high temperatures in Chicago for the last 12 months.  Convert all of the temperatures from Fahrenheit to Celsius, so you have two data sets for the population.

a.       Compare the means of the two data sets.

b.      Compare the standard deviations.

c.       Compare the coefficients of variation.

4)      Consider the above questions to form one criterion for when the coefficient of variation is not a useful measure.

 Subject Mathematics Due By (Pacific Time) 02/28/2013 12:00 am
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