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Five different phrases, which are considered the most annoying in conversations, along with their frequencies, are given.

A pie chart is a graph that depicts the proportions of the relative frequencies of different categories as slices of a circle/pie. Thus, the category with the highest frequency represents the largest slice on the chart, and the category with the lowest frequency represents the smallest slice on the chart.

The following table shows the frequencies of the different phrases.

• Tabulate the values of the angles corresponding to the different categories.
• Compute the degrees on the circle (out of 360 degrees) for each category using the given formula.

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

The total frequency is computed as

$219+127+104+81+35=566$

The degrees corresponding to each phrase are computed as below.

$$\begin{gathered} {\text{Phrase}}_1=\frac{219}{566}脳360掳 \\ =139掳 \\ {\text{Phrase}}_2=\frac{127}{566}脳360掳 \\ =81掳 \end{gathered}$$

$$\begin{gathered} {\text{Phrase}}_3=\frac{104}{566}脳360掳 \\ =66掳 \end{gathered}$$

$$\begin{gathered} {\text{Phrase}}_4=\frac{81}{566}脳360掳 \\ =52掳 \\ {\text{Phrase}}_5=\frac{35}{566}脳360掳 \\ =22掳 \end{gathered}$$

The above values are rounded in such a way as to get a total of 360 degrees.

Follow the given steps to sketch a pie chart.

• 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 pie chart is constructed as follows.

One disadvantage of a pie chart is that a pie chart does not exactly depict the difference in the frequencies of each category.

The slices in a pie chart do not show the exact values corresponding to each category