Question

A local investment club that meets monthly has $200$members ranging in age from $27to81$. A cumulative relative frequency graph is shown below. 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 is (b) $=44$.

Step-by-step solution

 Step 1: Given Information

We have given that a local investment club that meets monthly has $200$ members ranging in age from$27to81$.

 Step 2: Simplify

We draw a line at $60$years.

Now, dram a horizontal line through the intersection of the vertical line and the orange curve.

Note that the horizontal line intersects $y-axis$at a cumulative relative frequency of about $78\%$.

So, cumulative relative frequency of about $78\%$. We know that $78\%$of the members are less then $60$years and thus

Given as the $200$member is:

$22\%\times 200=44$.