Question

Math

Posted 3 months ago

```
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
```

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Answer from Sia

Posted 3 months ago

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.

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