Transforming Data In each of the following, describe how the range and standard deviation of a data set are affected.

a. The same constant k is added to each value of the data set.

b. Each value of the data set is multiplied by the same constant k.

c. For the body temperature data listed in Data Set 4 of Appendix B (12 A.M. on day 2), 5 98.20°F and s 5 0.62°F. Find the values of and s after each temperature has been converted to the Celsius scale. [Hint: C 5 5(F 2 32) 9.]