Question

the box plot below represents some data set. approximately what percentage of the data values are greater than 25?

Explanation:

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<reasoning>

Identify the key values of the box plot

\[

$$\begin{aligned} &\text{Minimum} \approx 9\\ &\text{First Quartile } (Q_1) \approx 24 \approx 25\\ &\text{Median } (Q_2) \approx 34\\ &\text{Third Quartile } (Q_3) \approx 55\\ &\text{Maximum} \approx 86 \end{aligned}$$

\]

Determine the percentage of data values above Q1

\[

$$\begin{aligned} &\text{Percentage of data } \ge Q_1 = 75\% \end{aligned}$$

\]
</reasoning>

<answer>
Approximately 75%
</answer>

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Answer:

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<reasoning>

Identify the key values of the box plot

\[

$$\begin{aligned} &\text{Minimum} \approx 9\\ &\text{First Quartile } (Q_1) \approx 24 \approx 25\\ &\text{Median } (Q_2) \approx 34\\ &\text{Third Quartile } (Q_3) \approx 55\\ &\text{Maximum} \approx 86 \end{aligned}$$

\]

Determine the percentage of data values above Q1

\[

$$\begin{aligned} &\text{Percentage of data } \ge Q_1 = 75\% \end{aligned}$$

\]
</reasoning>

<answer>
Approximately 75%
</answer>

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