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In a July 2008 survey of over 2000 U.S. teenagers by Harris Interactive, 47% said that 鈥渢heir social life would end or be worsened without their cell phone.鈥49 One survey question asked the teens how important it is for their phone to have certain features. The figure below displays data on the percent who indicated that a particular feature is vital.

(a) Explain how the graph gives a misleading impression.

(b) Would it be appropriate to make a pie chart to display these data? Why or why not?

(c) Make a graph of the data that isn鈥檛 misleading

Short Answer

Expert verified

Part (a) The width of all cell phones, text messages on smartphones, and the proportion of cell phones give the graph a false image.

Part (b) The pie charts are the best graph to represent the data with percentages.

Part (c) The pie chart is

Step by step solution

01

Part (a) Step 1: Given information

Using the graph, which shows the percentage of teens who said a certain characteristic is important in a Harris Interactive survey of over 2000 teenagers in the United States.

02

Part (a) Step 2: Concept

A statistical graph or chart is a visual representation of statistical data in graphical form.

03

Part (a) Step 3: Calculation

The presented graph creates the false appearance that the percentage sum is:

=46%+39%+19%+17=121%

Data must have a percentage that is exactly equivalent to 100percent, or else it will be misleading and lead to an incorrect conclusion for the readers. Because the text messaging smartphone is roughly four times the size of the camera smartphone, the discrepancies between the two categories were magnified. All cell phones should have the same width, and the height should represent the percentage.

04

Part (b) Step 1: Explanation

Because it depicts the shaded zone for each category with their associated percentages, pie charts are the best graph to represent data with percentages.

05

Part (c) Step 1: Explanation

As is well known, pie charts are the most effective graph for representing data in percentages. So, using MINITAB, create the pie chart as follows:

To begin, enter all of the data into MINITAB. Below is an example of a screenshot.

Select the pie chart option from the dropdown menu after clicking on the Graph menu. A new dialogue box will appear after that. To do so, first choose the option to chart values from a table, then choose the feature in categorical variables, and then choose the replies in a variable's summary. The following is a screenshot:

After that, select Labels from the drop-down menu. After that, a new dialogue box will appear. Choose the category name and % option after clicking on the slice labels tab. Below is an example of a screenshot.

Finally, click the OK button to return to the previous dialogue box, where you can then click the OK button to obtain the appropriate pie chart. The graph is as follows.

Therefore, the graph is drawn.

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