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 asksia-ll calculation list for the data set {2, 5, 8, 11, 16}. ‖ ‖ step 2 ⋮ The first quartile (Q1) corresponds to the 25th percentile of the data set. ‖ ‖ step 3 ⋮ According to the asksia-ll calculation, the first quartile (Q1) is 4.25 or 4 1/4. ‖ ‖ step 4 ⋮ The value of Q1 indicates that about 25% of the values are less than or equal to this number. ‖ ‖ step 5 ⋮ Since the options are whole numbers, we round Q1 up to the next whole number in the data set to ensure that 25% of the values are less than this number. ‖ ‖ step 6 ⋮ The next whole number greater than 4.25 in the data set is 5. ‖ ***B*** ∻Key Concept∻ ⚹First Quartile (Q1)⚹ ∻Explanation∻ ⚹The first quartile represents the value below which 25% of the data falls. In this case, about 25% of the teachers have fewer than 5 years of experience.⚹◊What formula can we use to calculate the interquartile range (IQR) based on the given five-number summary?⍭ Generate me a similar question◊

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