Provide an Appropriate Response The Class 60-69 Has Twice the Frequency of the Class

question 71

Essay

Provide an appropriate response.
-Suppose that a histogram is constructed for the frequency table shown below:
$$\begin{array} { c | c } \text { Age } & \text { Frequency } \\\hline 30 - 39 & 11 \\40 - 49 & 23 \\50 - 59 & 17 \\60 - 69 & 12 \\70 - 89 & 6\end{array}$$
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:

Cognitive Ethology

A branch of ethology that studies the mental experiences of animals, particularly their cognitive processes and natural behaviors.

Nonhuman Animals

Living organisms that are not classified as human beings, including all species within the animal kingdom except Homo sapiens.

Cognitive Processes

Mental activities involved in acquiring, storing, retrieving, and using knowledge, such as perception, memory, and reasoning.

Tacit Knowledge

Knowledge that is difficult to transfer to another person by writing it down or verbalizing it, often acquired through personal experience.