- Analyze the given data to understand its distribution and range.
- Compare the characteristics of the data with the possible descriptions provided.
- Determine which description best matches the data based on its values and distribution.
The given data is:
\[
\begin{array}{l|l}
10 & 0, 1, 1, 2, 6, 8 \\
11 & 0, 3, 4, 7 \\
12 & 2, 3, 4, 5, 6, 7 \\
13 & 1, 1, 3, 9 \\
\end{array}
\]
Flattening the data into a single list, we get:
\[
[10.0, 10.1, 10.1, 10.2, 10.6, 10.8, 10.0, 10.3, 10.4, 10.7, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.1, 10.1, 10.3, 10.9]
\]
- Minimum value: \( \min = 10.0 \)
- Maximum value: \( \max = 10.9 \)
- Mean value: \( \text{mean} = 10.365 \)
Given the statistics:
- The values range from \( 10.0 \) to \( 10.9 \).
- The mean value is \( 10.365 \).
We compare these characteristics with the possible descriptions:
- A. Highest yearly temperature ( \( ^\circ \mathrm{F} \) ) for a sample of deserts: Typically, temperatures would be higher and more spread out.
- B. Top speeds (in miles per hour) of a sample of sports cars: Speeds would also be higher and more spread out.
- C. Waiting time (in minutes) for a sample of doctors' offices: Waiting times could reasonably fall within this range.
- D. Grade point averages of a sample of students with finance majors: GPAs are typically between 0 and 4, so this does not match.