Question

match the plot with a possible description of the sample.

\

$$\begin{array}{r|l} 6 & 13667 \\\\ 7 & 33389 \\\\ 8 & 0456 \\\\ 9 & 122389 \\end{array}$$

key: \\(6|1 = 61\\)

choose the correct answer below.

a. highest yearly temperature (\\(^{\circ}\text{f}\\)) for a sample of deserts
b. ages (in years) of a sample of residents of a retirement home
c. grade point averages of a sample of students with finance majors
d. top speeds (in miles per hour) of a sample of sports cars

Explanation:

Analyze the stem-and-leaf plot values

The stem-and-leaf plot has stems of 6, 7, 8, and 9.
Using the key \(6|1 = 61\), the data values range from 61 to 99:

• Stems in the 60s: 61, 63, 66, 66, 67
• Stems in the 70s: 73, 73, 73, 78, 79
• Stems in the 80s: 80, 84, 85, 86
• Stems in the 90s: 91, 92, 92, 93, 98, 99

Evaluate the context of each option against the data range

• A. Highest yearly temperature (°F) for a sample of deserts: Desert high temperatures are typically much higher than 61–99°F (often exceeding 110–120°F).
• B. Ages (in years) of a sample of residents of a retirement home: Ages of retirement home residents typically range from the 60s to the 90s, which perfectly matches the data range of 61 to 99.
• C. Grade point averages of a sample of students with finance majors: GPAs are typically on a 4.0 scale, so values from 61 to 99 are not possible.
• D. Top speeds (in miles per hour) of a sample of sports cars: Top speeds of sports cars are much higher than 61–99 mph (typically well over 120–150 mph).

Answer:

• (A) Highest yearly temperature (°F) for a sample of deserts
• (B) Ages (in years) of a sample of residents of a retirement home (Correct answer)
• (C) Grade point averages of a sample of students with finance majors
• (D) Top speeds (in miles per hour) of a sample of sports cars