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Chapter 3: Problem 1

The Chronicle of Higher Education (August 31 , 2001) published data collected in a survey of a large number of students who were college freshmen in the fall of 2001\. Of those surveyed, \(70.6 \%\) reported that they were attending their first-choice college, \(20.8 \%\) their secondchoice college, \(5.5 \%\) their third-choice college, and \(3.1 \%\) their fourth- or higher-choice college. Use a pie chart to display this information.

Short Answer

Expert verified
The pie chart representing the college choice data will have segments with the following degrees - First choice: 254.16 degrees, Second choice: 74.88 degrees, Third choice: 19.8 degrees and Fourth or higher choice: 11.16 degrees.

Step by step solution

01

Understand the data and its distribution

According to the data, 70.6% of the students are in their first-choice college, 20.8% in their second-choice, 5.5% in their third-choice and 3.1% in their fourth-or-higher choice college. These percentages represent how the total data set (100%) is divided.
02

Calculate the degrees for each segment

A pie chart is a circular chart, and the full circle represents 100% or 360 degrees. Mapping percentages to degrees, get: \nFirst choice: \(70.6 \%\) of 360 = 254.16 degrees, \nSecond choice: \(20.8 \%\) of 360 = 74.88 degrees, \nThird choice: \(5.5 \%\) of 360 = 19.8 degrees, \nFourth or higher choice: \(3.1 \%\) of 360 = 11.16 degrees.
03

Create the pie chart

Now, on a circular diagram, represent each college choice as a segment of the circle, with the angle of each segment corresponding to the calculated degrees. For example, the segment for the first-choice college should be 254.16 degrees, which is the largest segment since most students are attending their first-choice college. Similarly, represent other choices using their respective calculated degrees.

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