## Instructor Overview

Students make a histogram of their typical-student data and then write a summary of what the histogram shows.

Students are introduced to histograms, using the line plot to build them. They investigate how the bin width affects the shape of a histogram. Students understand that a histogram shows the shape of the data, but that measures of center or spread cannot be found from the graph.

# Key Concepts

- A histogram groups data values into intervals and shows the frequency (the number of data values) for each interval as the height of a bar.
- Histograms are similar to line plots in that they show the shape and distribution of a data set. However, unlike a line plot, which shows frequencies of individual data values, histograms show frequencies of intervals of values.
- We cannot read individual data values from a histogram, and we can't identify any measures of center or spread.
- Histograms sometimes have an interval with the most data values, referred to as the mode interval.
- Histograms are most useful for large data sets, where plotting each individual data point is impractical.
- The shape of a histogram depends on the chosen width of the interval, called the bin width. Bin widths that are too large or too small can hide important features of the data.

# Goals and Learning Objectives

- Learn about histograms as another tool to describe data.
- Show that histograms are used to show the shape of the data for a wider range of data.
- Compare a line plot and histogram for the same set of data.

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