Answer
a. 15.8
b. 15.8
c. 15.8
d. 79.1
e. 3.16
f. no change when add or subtract, same factor change when multiple or divide
g. same rules apply on mean
Work Step by Step
46. Use this data set: 10, 20, 30, 40, 50
a. Find the standard deviation. 15.8
b. Add 5 to each value, and then find the standard deviation. 15.8
c. Subtract 5 from each value and find the standard deviation. 15.8
d. Multiply each value by 5 and find the standard deviation. 79.1
e. Divide each value by 5 and find the standard deviation. 3.16
f. Generalize the results of parts b through e. no change when add or subtract, same factor change when multiple or divide
g. Compare these results with those in Exercise 35 of Exercises 3–1. same effects.