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}
Min & $Q_{1}$ & Median & $Q_{3}$ & 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:
(A) 2
(B) 5
(C) 8
(D) 11
(E) 16

Question

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} 
Min & $Q_{1}$ & Median & $Q_{3}$ & 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:
(A) 2
(B) 5
(C) 8
(D) 11
(E) 16

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Identify the first quartile (Q1) from the given five-number summary. ‖ ‖ step 2 ⋮ The first quartile Q1 corresponds to the 25th percentile of the data set. ‖ ‖ step 3 ⋮ According to the asksia-ll calculation list, the 25th percentile of the data set {2, 5, 8, 11, 16} is 4.25 or 4 1/4. ‖ ‖ step 4 ⋮ Match the calculated 25th percentile to the closest value in the given options. ‖ ∻Answer∻ ⚹ (B) 5 ⚹ ∻Key Concept∻ ⚹25th Percentile (First Quartile)⚹ ∻Explanation∻ ⚹The 25th percentile, also known as the first quartile (Q1), is the value below which 25% of the data lies. In this case, Q1 is 4.25, which means that about 25% of the teachers have fewer than 5 years of experience, as 5 is the next whole number greater than 4.25 in the given options.◊What is the formula to calculate the percentage of teachers at Carlson High School with fewer than a certain number of years of experience?⍭ Generate me a similar question◊⚹

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