Exercise 1 Page 330

We will begin by looking at the given table which shows the estimated populations of males and females by age in the United States in $2012.$

Note that the ages in the table are given in intervals of equal sizes. Additionally, we are given the number of people who are in each particular interval — the frequency of the intervals. This means that the given table is a frequency table. Let's think about two different ways that we can display this data using technology.

Histograms

One common way to display data sets given by frequency tables is using histograms. To create our histograms, let's first write the data in a spreadsheet.

To create a histogram for the male population, let's select the Ages column and Males column. That is, we will select from cell A2 to B8.

Now, on our spreadsheet, let's go to the Insert menu, then to All Charts, and select Histogram. It will display the histogram of the data. However, depending on the spreadsheet version, we may need to change the $x\text{-}$axis to the by category option to see the graph correctly.

Proceeding in the same way, we can display the female data.

Finally, we can bring both histograms together to see the their shapes simultaneously.

Bar Graphs

Considering the given table once more, notice that each interval can be seen as a specific category. This means that we can use a bar graph to display the data. In this case, it will be convenient to have both data sets in one graph. To make our bar graph, we will need to select our whole table — from cell A1 to C8 — in the spreadsheet.

In a similar method as before, on our spreadsheet, let's go to the Insert Menu, then to All Charts, and select Bar Chart. It will automatically display the bar graph of both data sets. We may only need to adjust the titles and axis labels.

Please note that these are only two of the many possible ways to display the data sets.