Consider these two sets of data.
i. {5, 23, 36, 48, 63}
ii. {112, 115, 118, 119, 121}
a. Which set would you expect to have the larger standard deviation? Explain your reasoning.
b. Calculate the mean and the standard deviation of each set.
c. Predict how the mean and the standard deviation of each set will be affected if you multiply every data value by 10. Then do calculations to verify your answer. How do these measures compare to those you found in 21b?
d. Predict how the mean and the standard deviation of each set will be affected if you add 10 to every data value. Then do calculations to verify your answer. How do these measures compare to those you found in 21b?