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Math Foundations

You will create histograms based on numerical data given on specific topics in a frequency table, tally chart, or line plot.

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After completing this tutorial, you will be able to complete the following:

- Explain when a histogram is appropriate to use.
- Construct histograms.
- Analyze and answer questions about histograms.

A histogram is a summary graph. It allows us to look at large data sets in one graph. A histogram is a special bar graph representing a frequency of numerical data, which has been organized into equal intervals or bins. The height or length of each bar is determined by the frequency of each data point in the interval (bin). Histograms use columns to display how data points are distributed and reveal clusters and gaps in the data.

Students will choose to use information collected from either a line plot, frequency table, or tally chart. Students should be able to create and read each type of these graphs as well as bar graphs before completing this Activity Object. Students can learn more about line plots, frequency tables, bar graphs, and tally charts by completing the following Activity Objects: "Line Plot", "Tally Chart," and "Drawing a Bar Graph".

The following key vocabulary terms will be used throughout this Activity Object:

histogram - a special bar graph representing a frequency of numerical data which has been organized into equal intervals or bins

interval or bin - the distance between sets of data. Each interval or bin must be equal in a histogram. The height of each bin shows the frequency of the data points within that interval. Note: A double line is drawn to show a break in the data from zero to the boundary of the first interval.

axes - a graph consists of two axes, a horizontal and a vertical axis. In a histogram the vertical axis shows the frequency of data

boundary - the data point representing the beginning or ending of a particular interval or bin

frequency - the number of times a data point occurs

Approximate Time | 17 Minutes |

Pre-requisite Concepts | Students should be familiar with frequency tables, line plots, and tally charts. |

Course | Math Foundations |

Type of Tutorial | Concept Development |

Key Vocabulary | data analysis, frequency, histogram |