Question

AP4.36 A local investment club that meets monthly has 200 members ranging in age from 27 to 81. A cumulative relative frequency graph of age is shown. Approximately how many members of the club are more than 60 years of age?

a.20
b. 44
c.78
d. 90
e. 110

Short answer

The correct answer is option (b) $44$.

Step-by-step solution

Given information

To determine approximately about how many members of the club are more than $60$ years of age.

Explanation

A cumulative frequency graph of the club's members' ages is provided in the question. Then calculate how many participants are around sixty years old.
As a result, at $60$ years, draw a vertical line.
The horizontal line intersects the $y$-axis with a cumulative relative frequency of around $78\%$.
As can be seen in the graph below:

Now, because the cumulative frequency is around $78\%$, we know that $78 percent $ of the members are under the age of $60$, and consequently, $100\%-78\%=22\%$of the members are over $60$.
Given the fact that there are $200$ members,
$22\%\times 200$
$=44$
As a result,the option (b) is the correct answer.