Suppose That a Histogram Is Constructed for the Frequency Distribution

question 66

Essay

Suppose that a histogram is constructed for the frequency distribution 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?

---

Definitions:

Forgeries

The action of forging or producing a copy of a document, signature, banknote, or work of art with the intent to deceive.

Unauthorized Check

A bank check that is issued without the account holder's approval or knowledge, potentially leading to fraud.

Overdraft Protection

A financial service that prevents checks, withdrawals, and other transactions from resulting in a negative account balance, often by linking to another account or providing a line of credit.

Federal Law

Laws passed by the national legislature of a country, applicable throughout the country.