Problem

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

Solution

Step 1 :Find the value that corresponds to the 25th percentile, which is the first quartile, $Q_1$

Step 2 :The first quartile, $Q_1$, is 5. So, about 25% of Carlson High School teachers have fewer than 5 years of experience.

Step 3 :\( \boxed{5} \)

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