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Laila wants to create a data display to clearly show the median salary, the highest

salary, and the lowest salary of the 685 employees at her company. She is trying to
decide whether she should create a dot plot, a box plot, or a histogram of the salaries.
A sample of the data is shown below.
$25,745; $26,512; $27,322; $27,750; $29,820; $32,500; $35,448; $52,020; $63,485; $87,167
Which graph should Laila choose? Explain your reasoning by completing the sentences. Click the
arrows to choose an answer from each menu.
A dot plot Choose...
A box plot
Choose...
A histogram Choose...
So Laila should create (
Choose.
to display the data.

Laila wants to create a data display to clearly show the median salary, the highest-example-1

1 Answer

3 votes

Answer:

  • would not ...
  • would display ... clearly
  • cannot ...
  • box plot

Explanation:

Laila wants to create a data display to clearly show the median salary, the highest salary, and the lowest salary of the 685 employees at her company, and is trying to decide whether she should create a dot plot, a box plot, or a histogram.

Descriptions

The question is asking you to fill in descriptions of the various options:

A. a dot plot would not work well because there are too many different values. (There would be 685 dots on the plot.)

B. a box plot would display the median, minimum, and maximum clearly.

C. a histogram cannot be used to determine the median.

Conclusion

So, Laila should create a box plot to display the data.

__

Additional comment

The median can be determined from a histogram to be within some range, but it is not clearly shown. The only display that clearly shows the median is a box plot.

A dot plot is essentially a sort of histogram. It can tend to be less useful for a large number of wide-ranging data points, because there may be only a few at any given value. The histogram groups data into intervals, so tends to show its structure better. The box plot doesn't show the distribution as well as a histogram, but does clearly show the values Laila wants to display.

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User Peter Flannery
by
8.0k points

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