A pie chart is a circular statistical graphic that is divided into slices to illustrate numerical proportion. The arc length of each slice is proportional to the quantity it represents. It is a useful tool for representing data and comparing different categories or groups in a data set.

To create a pie chart, follow these steps:

**Collect Data:**Gather the numerical data that you want to represent in the pie chart. This could be survey results, sales figures, or any other set of data.**Calculate Percentages:**Calculate the percentage that each category represents of the total data set. This is typically done by dividing the value of each category by the total and multiplying by 100.**Draw the Chart:**Use a protractor or drawing software to draw a circle. Divide the circle into slices, with each slice representing a category. The size of each slice should be proportional to the percentage it represents.**Add Labels:**Label each slice with the category it represents and its percentage value.

When interpreting a pie chart, keep the following points in mind:

**Proportional Representation:**Each slice of the pie represents the proportion of the whole data set that the category represents. The larger the slice, the greater the percentage of the whole it represents.**Comparison:**Use the pie chart to compare the sizes of different categories. It is easy to see at a glance which category is the largest or smallest.**Limitation:**Pie charts are not suitable for comparing more than a few categories, as the slices become too small to accurately interpret.

Suppose you conducted a survey to find out people's favorite ice cream flavors. The data collected is as follows:

Flavor | Number of Votes |
---|---|

Vanilla | 30 |

Chocolate | 20 |

Strawberry | 15 |

Mint Chip | 10 |

After calculating the percentage for each flavor, you can create a pie chart to visually represent the data.

A pie chart is a useful tool for representing data in a visually appealing and easy-to-understand way. By following the steps for creating and interpreting a pie chart, you can effectively communicate numerical proportions and make comparisons between different categories.

Study GuideOrganizing Data Worksheet/Answer key

Organizing Data Worksheet/Answer key

Organizing Data Worksheet/Answer key

Organizing Data

Data Analysis and Probability (NCTM)

Select and use appropriate statistical methods to analyze data.

Find, use, and interpret measures of center and spread, including mean and interquartile range.