Chapter 6, Problem 2E

a)

To determine

To find new median and IQR in seconds.

Answer to Problem 2E

Median = 264 seconds and IQR = 138 seconds

Explanation of Solution

Given:

Median = 4.4 minutes

IQR = 2.3 minutes

Calculation:

First, we need to understand about median and IQR.

Median: Median is the middle of the sorted data

IQR: Interquartile range measures the spread of the data.

  $\begin{array}{l}Median=4.4\times 60=264seconds\\ IQR=2.3\times 60=138seconds\end{array}$

b)

To determine

To find new median and IQR in seconds.

Answer to Problem 2E

Median = 240 seconds and IQR = 138 seconds

Explanation of Solution

Given:

Median = 264 seconds and IQR = 138 seconds

Calculation:

First, we need to understand about median and IQR.

Median: Median is the middle of the sorted data

IQR: Interquartile range measures the spread of the data.

So, median will change in the same way that all data values change.

  $Median=264-24=240seconds$

It is known that, the data values all increase by the same value, the spread of the data values remains unaffected. Therefore, in this case, the IQR remains unchanged.

  $IQR=138seconds$