Use the applet Standard Deviation to study the effect that an extreme value has on the standard deviation. Begin by setting appropriate limits and plotting the following data on the number line provided in the applet:

0 6 7 7 8 8 8 9 9 10

a. Record the standard deviation. Replace the extreme value of 0 with 2, then 4, and then 6. Record the standard deviation each time. Describe what happens to the standard deviation as 0 is replaced by ever higher numbers.

b. How would the standard deviation of the data set compare with the original standard deviation if the 0 were replaced by 16? Explain.