Constructing a Histogram

The completed histogram is presented. The speaker concludes by mentioning that a histogram is useful for visualizing the shape of the data and for further analysis.

The video begins by stating the purpose: constructing a histogram from a pre-existing frequency distribution (from previous videos). The speaker highlights the need for class boundaries and frequency data. A coordinate plane is started for the histogram, which is defined as a special type of bar graph with vertical bars that always touch. The example data used is years of collected pennies.

The horizontal axis is labeled with 'years' to represent the class boundaries of the pennies. The vertical axis is labeled 'frequency' because the height of each bar will correspond to the frequency of that class. The importance of class boundaries for ensuring the bars touch is re-emphasized.

The first bar starts at 65.5 and ends at 70.5, with its height representing a frequency of one. Subsequent bars are drawn, each starting where the previous one ended, ensuring no gaps. The frequencies for the following classes are three, four, four, six, ten, and finally twelve, with each bar's height corresponding to these values.