Suppose That a Histogram Is Constructed for the Frequency Distribution

question 37

Essay

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?

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Definitions:

State

A politically organized body of people usually occupying a defined territory and governed by an authority that has the power to make and enforce laws.

Territory

An area of land under the jurisdiction of a ruler or state, often referring to regions before they achieve statehood within the United States.

Emancipated Slavery

The act or process of freeing individuals from slavery, often through legal means such as the Emancipation Proclamation in the United States.

Northern State

A reference to one of the states in the northern part of the United States, often in the context of its opposition to slavery during the Civil War era.