Chapter 14.3, Problem 46E

To determine

a)

To find:

The mean and standard deviation for any sample data set.

To determine

b)

To find:

The mean and standard deviation for the sample data set after multiplying each number in the data set from part a by 4

To determine

c)

To find:

The mean and standard deviation for the sample data set after multiplying each number in the data set from part a by 9

To determine

d)

To conclude:

The changes in the mean and standard deviation when the same number is multiplied to each score of a data set.

To determine

e)

To find:

The mean and standard deviation for the following data set using the above conclusion.

15, 20, 35, 5, 25

If the mean is 4 and the standard deviation is 2.2 for the data 3, 4, 7, 1, 5.