Suppose that a histogram is constructed for the frequency distribution shown below: $$\begin{array} { | c | c | }
\hline \text { Age } & \text { Frequency } \
\hline 30 - 39 & 11 \
40 - 49 & 23 \
50 - 59 & 17 \
60 - 69 & 12 \
70 - 89 & 6 \
\hline
\end{array}$$ The class 60-69 has twice the frequency of the class 70-89. In the histogram, will the area of the bar for the class
60-69 be twice the area of the bar for the class 70-89? In other words, will areas be proportional to frequencies
in this histogram? Explain your thinking. Are there any conditions under which areas are proportional to
frequencies in histograms?

Question

Suppose that a histogram is constructed for the frequency distribution shown below: $$\begin{array} { | c | c | } 
\hline \text { Age } & \text { Frequency } \
\hline 30 - 39 & 11 \
40 - 49 & 23 \
50 - 59 & 17 \
60 - 69 & 12 \
70 - 89 & 6 \
\hline
\end{array}$$ The class 60-69 has twice the frequency of the class 70-89. In the histogram, will the area of the bar for the class
60-69 be twice the area of the bar for the class 70-89? In other words, will areas be proportional to frequencies
in this histogram? Explain your thinking. Are there any conditions under which areas are proportional to
frequencies in histograms?

Quizplus · Accepted Answer

The Answer of Suppose that a histogram is constructed for the frequency distribution shown below: $$\begin{array} { | c | c | } 
\hline \text { Age } & \text { Frequency } \
\hline 30 - 39 & 11 \
40 - 49 & 23 \
50 - 59 & 17 \
60 - 69 & 12 \
70 - 89 & 6 \
\hline
\end{array}$$ The class 60-69 has twice the frequency of the class 70-89. In the histogram, will the area of the bar for the class
60-69 be twice the area of the bar for the class 70-89? In other words, will areas be proportional to frequencies
in this histogram? Explain your thinking. Are there any conditions under which areas are proportional to
frequencies in histograms?

Suppose That a Histogram Is Constructed for the Frequency Distribution