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

question 154

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:

Successive Years

Successive years that occur back-to-back without any breaks.

Compounded Quarterly

A method of calculating interest where it is added to the principal four times a year, after every three months, leading to faster growth of the investment.

Prepayment

Payment made for goods or services before they are received or required.

Discounting

The process of determining the present value of a payment or a series of payments that will be made in the future.