Chapter 6, Problem 22E

To determine

To find new mean, maximum, standard deviation and IQR.

Answer to Problem 22E

New values are:

Mean= 180

Maximum = 230

Standard deviation = 24

IQR = 32

Explanation of Solution

Given:

Mean = 28

Maximum = 33

Standard deviation = 2.4

IQR = 3.2

There will be no impact on standard deviation because the spread of the data values will not change by adding subtracting any value.

The values become,

  $\begin{array}{l}Mean=\text{ 100+10(}28-20)=180\hfill \\ Maximum=\text{100+10(33}-20)=230\hfill \\ Standarddeviation=\text{ 10}\times 2.4=24\hfill \\ IQR=\text{ 10}\times 3.2=32\hfill \end{array}$