Chapter 10.1, Problem 10IP

To determine

To explain: Those use the mean, mode and median to show large number of visitors.

Answer to Problem 10IP

They should use the mean to show large number of visitors.

Explanation of Solution

Given information: The table shows the attendance at an art museum.

Calculation: The table shows the attendance at an art museum.

Mean of data is:

  $\begin{array}{l}\mathrm{Mean}=\frac{sumofdata}{\mathrm{number}\mathrm{of}\mathrm{data}}\\ \mathrm{Mean}=\frac{214+189+214+248+220+253}{6}=\frac{1338}{6}=223\end{array}$

Median of the data:

Data in ascending order $189,214,214,220,248,253$ .

  $\begin{array}{l}\mathrm{n}=6\\ \mathrm{Median}=\frac{\frac{n}{2}\mathrm{th}+\left(\frac{n}{2}+1\right)\mathrm{th}}{2}=\frac{\left(\frac{6}{2}\right)\mathrm{th}+\left(\frac{6}{2}+1\right)\mathrm{th}}{2}=\frac{3\mathrm{rd}+4\mathrm{th}}{2}=\frac{214+220}{2}=\frac{434}{2}=217\end{array}$

So median is $217$

Mode:

In this case, $214$ are more frequent. So mode $214$ .

Mean is greater than Median and Mode.

Thus, they should use the mean to show large number of visitors.