Construct a pie chart representing the given data set.
-The following data give the distribution of the types of houses in a town containing 40,000 houses. $\begin{array}{ccc}
\text { Capes } & \text { Garrisons } & \text { Splits } \
10,000 & 14,000 & 16,000
\end{array}$

Question

Quizplus · Accepted Answer

The total number of houses is 40,000, and each type of house represents a proportion of the total. To calculate the proportion of each type of house, we add them together to get a total of 40,000, and then divide each type by the total:

Capes: 10,000 / 40,000 = 0.25 or 25%
Garrisons: 14,000 / 40,000 = 0.35 or 35%
Splits: 16,000 / 40,000 = 0.4 or 40%

Then we can represent these proportions using sectors of a circle. The angles of the sectors are proportional to the proportions of the types of houses, and the area of each sector is proportional to the square of the proportion. The pie chart in choice A accurately represents these proportions, with the angles and areas of the sectors corresponding to the calculated values. Choice B is incorrect because the sizes of the three sectors do not accurately represent their proportions, with the split houses appearing to be the same size as the garrison houses even though garrisons should represent a larger proportion of the total.

Construct a Pie Chart Representing the Given Data Set Capes Garrisons Splits 10,00014,00016,000\begin{array}{ccc}\text { Capes } & \text { Garrisons } & \text { Splits } \\10,000 & 14,000 & 16,000\end{array} Capes 10,000​ Garrisons 14,000​ Splits 16,000​

Construct a Pie Chart Representing the Given Data Set $\begin{array}{ccc}\text { Capes } & \text { Garrisons } & \text { Splits } \\10,000 & 14,000 & 16,000\end{array}$