Problem

st 8 Found 100 Anin X 1 Aeries Student Dashbo $x$ (a) Amazon.com: Sunny D * Interpreting quartiles cc-6th-data-statistics/cc-6th-box-whisker-plots/e/interpreting-quartiles-on-box-plots?classCode=BC... Log in to Canvas Course | McGraw Hill Chan Academy Get Al Guide 28 francorebecca 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

Solution

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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