Chapter 10, Problem 1RE

Use a bar graph and a broken-line graph to graph the data on voter turnout, as a percentage of the population eligible to vote, in U.S. presidential elections.

To determine

To graph:The data given in the following table for the voter turnout, as a percentage of the population eligible to vote, in U.S. presidential elections using a bar graph,

$\begin{array}{cc}\text{Year}& \text{percentage of eligible voters}\\ \text{1996}& \text{53}\\ \text{2000}& \text{55}\\ \text{2004}& \text{61}\\ \text{2008}& \text{62}\\ \text{2012}& \text{59}\\ \text{2016}& \text{60}\end{array}$

Explanation of Solution

Graph:

Consider the given table,

$\begin{array}{cc}\text{Year}& \text{percentage of eligible voters}\\ \text{1996}& \text{53}\\ \text{2000}& \text{55}\\ \text{2004}& \text{61}\\ \text{2008}& \text{62}\\ \text{2012}& \text{59}\\ \text{2016}& \text{60}\end{array}$

The percentage of eligible voters corresponding to the different years is known as the frequency. The frequencies are represented on the $y\text{-axis}$ and the years are represented on the $x\text{-axis}$. Take intervals of width $4$ starting from $48$ on the $y\text{-axis}$ and then mark the points on the graph with respect to the $x\text{-axis}$.

Use the frequencies to draw the graph of the given data.

Thus, the bar graph of the given frequency table is,

To determine

To graph:The data given in the following table for the voter turnout, as a percentage of the population eligible to vote, in U.S. presidential elections using a broken-line graph.

$\begin{array}{cc}\text{Year}& \text{percentage of eligible voters}\\ \text{1996}& \text{53}\\ \text{2000}& \text{55}\\ \text{2004}& \text{61}\\ \text{2008}& \text{62}\\ \text{2012}& \text{59}\\ \text{2016}& \text{60}\end{array}$

Explanation of Solution

Graph:

Consider the given table,

Voter Turnout in US Presidential Elections

$\begin{array}{cc}\text{Year}& \text{percentage of eligible voters}\\ \text{1996}& \text{53}\\ \text{2000}& \text{55}\\ \text{2004}& \text{61}\\ \text{2008}& \text{62}\\ \text{2012}& \text{59}\\ \text{2016}& \text{60}\end{array}$

A broken-line graph can be obtained from a vertical bar-graph by joining the mid-points of the tops of consecutive bars with straight lines.

The percentage of eligible voters corresponding to the different years is known as the frequency. The frequencies are represented on the $y\text{-axis}$ and the years are represented on the $x\text{-axis}$. Take intervals of width $4$ starting from $48$ on the $y\text{-axis}$.

Use the frequencies to draw the graph of the given data.

Thus, the bar graph of the given frequency table is,