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* Interpreting quartiles
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The following table shows the five-number summary for the number of years of experience for each teacher at Carlson High School.
\begin{tabular}{ccccc}
$\operatorname{Min}$ & $Q_{1}$ & Median & $Q_{3}$ & $\operatorname{Max}$ \\
\hline 2 & 5 & 8 & 11 & 16
\end{tabular}
About $25 \%$ of Carlson High School teachers have fewer than how many years of experience?
Choose 1 answer:
5
(B) 5
(c) 8
(D) 11
(E) 16

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Answer

\boxed{5}

Steps

Step 1 :Given the five-number summary table for the number of years of experience for each teacher at Carlson High School: \begin{tabular}{ccccc} $\operatorname{Min}$ & $Q_{1}$ & Median & $Q_{3}$ & $\operatorname{Max}$ \\ \hline 2 & 5 & 8 & 11 & 16 \end{tabular}

Step 2 :We are asked to find the number of years of experience that about 25% of Carlson High School teachers have fewer than, which corresponds to the first quartile, $Q_1$. From the table, we can see that $Q_1 = 5$ years.

Step 3 :\boxed{5}

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