Chapter 7, Problem 9CT

To determine

To analyze: the data and create a display that represent the data best and explain with reasoning.

Answer to Problem 9CT

Pie chart is best that can describe or represent the data.

Explanation of Solution

Given:

  

Concept used:

The angle measure for each section of the circle graph by multiplying the fraction of students by ${360}^0$ .

Pie charts are specific types of data presentation where the data is represented in the form of a circle.

In pie charts a circle is divided into various sections or segment represents a certain proportion or percentage of the total. In this diagram, the total of all the given items is equated to ${360}^0$ degrees and the degree of the angles.

Calculation:

A circle graph is appropriate since it can show the data as parts of whole.

To find the angle measure for each section of the circle graph by multiplying the fraction of students by ${360}^0$ . Note that that area is total of $224$ students.

Walking: $\frac{20}{100}\left({360}^0\right)={72}^0$ .

Jogging: $\frac{28}{100}\left({360}^0\right)\approx {101}^0$ .

Biking: $\frac{17}{100}\left({360}^0\right)\approx {40}^0$ .

Swimming: $\frac{11}{100}\left({360}^0\right)\approx {40}^0$ .

Lifting weights: $\frac{10}{100}\left({360}^0\right)\approx {36}^0$ .

Dancing: $\frac{14}{100}\left({360}^0\right)\approx {50}^0.$

This data can be Represents through the pie chart diagram as below:

  

Hence, pie chart is best that can describe or represent the data.