### 9.2 Describing "Average"

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• 23. Using Mean, Median, and Mode in Advertising Printers

A consumer testing service is determining the printing speed, in pages per minute (ppm), of three printers. The table shows the results of five print jobs for each printer.

Each printer has a different manufacturer, and each manufacturer advertises that its printer has a faster average printing speed than its competitors' printers. Which measure of central tendency (mean, median, or mode) would each of the following manufacturers use to support its claim? Explain your reasoning.

1. the manufacturer of printer A
2. the manufacturer of printer B
3. the manufacturer of printer C
• Worked-Out Solution

Find and compare the mean, median, and mode of the data for the three manufacturers.

Printer A: Ordered printing speeds: 27, 28, 30, 32, 32

Median = 30 ppm (the middle value)

Mode = 32 ppm (32 occurs twice.)

Printer B: Ordered printing speeds: 28, 28, 30, 32, 34

Median = 30 ppm (the middle value)

Mode = 28 ppm (28 occurs twice.)

Printer C: Ordered printing speeds: 27, 28, 31, 31, 32

Median = 31 ppm (the middle value)

Mode = 31 ppm (31 occurs twice.)

1. The manufacturer of printer A would use the mode to support its claim, because printer A has the greatest mode of 32 ppm.
2. The manufacturer of printer B would use the mean to support its claim, because printer B has the greatest mean of 30.4 ppm.
3. The manufacturer of printer C would use the median to support its claim, because printer C has the greatest median of 31 ppm.

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```  _  __    _____     _  _      ___     _    _
| |/ //  |  ___||  | \| ||   / _ \\  | || | ||
| ' //   | ||__    |  ' ||  / //\ \\ | || | ||
| . \\   | ||__    | .  || |  ___  ||| \\_/ ||
|_|\_\\  |_____||  |_|\_|| |_||  |_|| \____//
`-` --`  `-----`   `-` -`  `-`   `-`   `---`

```
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• 24. Using Midrange as a Measure of Central Tendency of Printer Speeds

A consumer testing service is determining the printing speed, in pages per minute (ppm), of three printers. The table shows the results of five print jobs for each printer.

The midrange is

1. Which printer has the fastest average speed according to the midrange?
2. Why do you think the midrange is rarely used as a measure of central tendency?

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```            ______   _____       ___      _____
____     /_   _// |  __ \\    / _ \\   /  ___||
|    \\    -| ||-  | |  \ ||  | / \ || | // __
| [] ||    _| ||_  | |__/ ||  | \_/ || | \\_\ ||
|  __//   /_____// |_____//    \___//   \____//
|_|`-`    `-----`   -----`     `---`     `---`
`-`
```
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• 25. Making a Box-and-Whisker Plot for Printer Prices

The table below shows the prices of all the printers in stock at an electronics store. Make a box-and-whisker plot of the printer prices.

• Worked-Out Solution

Use the Box-and-Whisker Plot Generator located in Tools to make a box-and-whisker plot of the printer prices.

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When posting a comment, you agree to our Terms of Use.

``` _    _      ___     _    _     _____    __   _
| || | ||   / _ \\  | |  | ||  |  ___|| | || | ||
| || | ||  / //\ \\ | |/\| ||  | ||__   | '--' ||
| \\_/ || |  ___  |||  /\  ||  | ||__   | .--. ||
\____//  |_||  |_|||_// \_||  |_____|| |_|| |_||
`---`   `-`   `-` `-`   `-`  `-----`  `-`  `-`

```
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• 26. Describing the Shape of the Distribution of Printer Prices

The table below shows the prices of all the printers in stock at an electronics store. Describe the shape of the distribution.

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When posting a comment, you agree to our Terms of Use.

```           _    _     _____    _    _     ______
____    | || | ||  / ____|| | || | ||  /_____//
|    \\  | || | || / //---`' | || | ||  `____ `
| [] ||  | \\_/ || \ \\___   | \\_/ ||  /___//
|  __//   \____//   \_____||  \____//   `__ `
|_|`-`     `---`     `----`    `---`    /_//
`-`                                     `-`
```
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• 27. Making a Histogram for Printer Prices

The table below shows the prices of all the printers in stock at an electronics store. Make a histogram of the printer prices.

• Worked-Out Solution

Use the Histogram Generator located in Tools to make a histogram of the printer prices.

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
When posting a comment, you agree to our Terms of Use.

```             ___      _  __     ___     _    _
____      / _ \\   | |/ //   / _ \\  | || | ||
|    \\   / //\ \\  | ' //   | / \ || | || | ||
| [] ||  |  ___  || | . \\   | \_/ || | \\_/ ||
|  __//  |_||  |_|| |_|\_\\   \___//   \____//
|_|`-`   `-`   `-`  `-` --`   `---`     `---`
`-`
```
There are no comments.
• 28. Describing the Shape of the Distribution of Printer Prices

The table below shows the prices of all the printers in stock at an electronics store. What new information does the histogram from Exercise 27 give you about the distribution?

These comments are not screened before publication. Constructive debate about the information on this page is welcome, but personal attacks are not. Please do not post comments that are commercial in nature or that violate copyright. Comments that we regard as obscene, defamatory, or intended to incite violence will be removed. If you find a comment offensive, you may flag it.
When posting a comment, you agree to our Terms of Use.

```__    __     ___      _____    _    _    __   __
\ \\ / //   / _ \\   /  ___|| | || | ||  \ \\/ //
\ \/ //   | / \ || | // __   | || | ||   \   //
\  //    | \_/ || | \\_\ || | \\_/ ||   / . \\
\//      \___//   \____//   \____//   /_//\_\\
`       `---`     `---`     `---`    `-`  --`

```