Question

Carrie has information about the age of people who used the eye care center. Age of people.0-12 yrs(10%)13-19 yrs(15%)20-35 yrs(10%)36-60 yrs(20%)over 60 yrs(45%)The pie chart shows that a quarter of the people using the eye care center were 36 to 60 yrs old. Is Carrie correct?Show why you think this.

Answer 1

Carrie is not correct, her pie chart presents 36-60yrs old to be 1/5

1) The key to tackling this question is to think of a circle and each sector must be proportional to its area.

2) Given those percentages, we can state that Carrie is not correct for a quarter means this:

$\begin{gathered} 25\%=\frac{25}{100}=\frac{1}{4} \\ 36-60\text{yrs=20}\% \\ 20\%\ne25\% \end{gathered}$

Because the pie chart described in the text presents 1/5 for 36-60yrs old, not a quarter.