Chapter 10.1, Problem 5GP

To determine

To explain: That Sarah use the mean and median to show the exercises for large amounts of time.

Answer to Problem 5GP

Sarah should use the mean to show she exercises larger amounts of times each day.

Explanation of Solution

Given information: Sarah spent $34,30,45,30,40,38,28$ minutes exercising in last week.

Calculation: Sarah spent $34,30,45,30,40,38,28$ minutes exercising in last week.

Mean of data is:

  $\begin{array}{l}\mathrm{Mean}=\frac{sumofdata}{\mathrm{number}\mathrm{of}\mathrm{data}}\\ \mathrm{Mean}=\frac{34+30+45+30+40+38+28}{7}=\frac{245}{7}=35\end{array}$

Median of the data:

Data in ascending order $28,30,30,34,38,40,45$ .

  $\begin{array}{l}\mathrm{n}=7\\ \mathrm{Median}=\frac{n+1}{2}=\frac{7+1}{2}=\frac{8}{2}th=4th\\ 4th\mathrm{term}\mathrm{is}34\\ \end{array}$

So median is $34$ .

Mean is greater than Median.

Thus, Sarah should use the mean to show she exercises larger amounts of times each day.