In: Statistics and Probability
1.What is a quantitative measure of variability?
2. Describe how the range and standard deviation uniquely identifies the variability of a distribution.
3. How does the presence of one or more outliers influence the range and standard deviation?
4. Create a collection of 7-12 numbers of your choice (e.g., 4, 9, 13, 2, 7, 8, 6, 10). Find the following quantitative measures of variability:
Show all work. Make sure that the numbers that you choose are different from the numbers chosen from your fellow classmates.
5. Why is the standard deviation a better measure of variation than the range?