Pie Charts. In Exercises 13 and 14, construct the pie chart.

Getting a Job Use the data from Exercise 12 “Getting a Job.”

The data on the number of subjects and their opinions on sending a thank you note is provided.

A pie chart is a visual representation that represents relative frequencies corresponding to various categories as a segment (portion) of a circle or pie.The category with the highest frequency has the greatest proportion, and the category with the lowest frequency represents the smallest proportion of pie.

The following table shows the number of subjects having the given opinions:

The steps to compute the proportions corresponding to different frequencies are:

Compute the degrees on the circle (out of 360 degrees) for each category using the given formula:

$\text{Degree}\text{on}\text{the}\text{circle}=\frac{\text{Frequency}\text{of}\text{the}\text{category}}{\text{Total}\text{frequency}}\times 360°$

The total frequency is computed below:

$396+40+40+15+10=501$

The degrees corresponding to each opinion are computed below:

$$\begin{gathered} Opinio{n}_1=\frac{396}{501}\times 360° \\ =284° \\ Opinio{n}_2=\frac{40}{501}\times 360° \\ =29° \\ Opinio{n}_3=\frac{40}{501}\times 360° \\ =29° \\ Opinio{n}_4=\frac{15}{501}\times 360° \\ =11° \\ Opinio{n}_5=\frac{10}{501}\times 360° \\ =7° \end{gathered}$$

The above values are rounded off so that the total is obtained as 360 degrees.

• Mark the angles on a circle corresponding to the degrees computed for each category using a protractor.
• Represent each category with a different color.

The following pie chart is constructed: