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 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.

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