Histogram
A histogram in Grade 8 Saxon Math Course 3 is a type of bar graph used to display the frequency distribution of numerical data grouped into intervals (bins). Students learn to construct histograms from data, choose appropriate interval widths, and interpret frequency distributions. Histograms are an essential tool for exploring patterns in large data sets.
Key Concepts
Property A histogram displays quantitative data in adjacent intervals, represented by bars that touch.
Examples Showing how many students spend 0–29 mins, 30–59 mins, and 60–89 mins on homework. Graphing customer ages in intervals like 10 19, 20 29, and 30 39.
Explanation Imagine sorting your video games by how long they take to beat. A histogram groups them into time slots (like 0–10 hours, 11–20 hours) and uses touching bars to show how many games are in each continuous group.
Common Questions
What is a histogram?
A histogram is a graphical display showing the frequency of data grouped into equal-width intervals (bins). Bars are adjacent with no gaps, and height represents frequency.
How is a histogram different from a bar graph?
A histogram displays numerical data in intervals with no gaps between bars; it shows distribution of continuous data. A bar graph compares categories and usually has gaps between bars.
How do you create a histogram from a data set?
Determine the range, choose equal-width intervals, count how many data values fall in each interval (frequency), then draw bars with height equal to frequency for each interval.
What does the shape of a histogram tell you about data?
A symmetric histogram suggests the data is evenly distributed. A skewed histogram indicates most data is concentrated on one side. Peaks indicate common values.
How does Saxon Math Course 3 use histograms?
Saxon Math Course 3 introduces histograms as a data display tool, asking students to create them from frequency tables and interpret what the shape and peaks reveal about the data.