Questions: Match the plot with a possible description of the sample 10 011268 11 0347 12 234567 13 1139 Choose the correct answer below. A. Highest yearly temperature ( °F ) for a sample of deserts B. Top speeds (in miles per hour) of a sample of sports cars C. Waiting time (in minutes) for a sample of doctors' offices D. Grade point averages of a sample of students with finance majors

Match the plot with a possible description of the sample

10 011268
11 0347
12 234567
13 1139

Choose the correct answer below.
A. Highest yearly temperature ( °F ) for a sample of deserts
B. Top speeds (in miles per hour) of a sample of sports cars
C. Waiting time (in minutes) for a sample of doctors' offices
D. Grade point averages of a sample of students with finance majors
Transcript text: Match the plot with a possible description of the sample \begin{tabular}{l|l} 10 & 011268 \\ 11 & 0347 \\ 12 & 234567 \\ 13 & 1139 \end{tabular} Choose the correct answer below. A. Highest yearly temperature ( ${ }^{\circ} \mathrm{F}$ ) for a sample of deserts B. Top speeds (in miles per hour) of a sample of sports cars C. Waiting time (in minutes) for a sample of doctors' offices D. Grade point averages of a sample of students with finance majors
failed

Solution

failed
failed

Solution Steps

Solution Approach
  1. Analyze the given data to understand its distribution and range.
  2. Compare the characteristics of the data with the possible descriptions provided.
  3. Determine which description best matches the data based on its values and distribution.
Step 1: Analyze the Data 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: \[ [10.0, 10.1, 10.1, 10.2, 10.6, 10.8, 10.0, 10.3, 10.4, 10.7, 10.2, 10.3, 10.4, 10.5, 10.6, 10.7, 10.1, 10.1, 10.3, 10.9] \]

Step 2: Calculate Basic Statistics
  • Minimum value: \( \min = 10.0 \)
  • Maximum value: \( \max = 10.9 \)
  • Mean value: \( \text{mean} = 10.365 \)
Step 3: Compare Data Characteristics with Descriptions

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.

Final Answer

\(\boxed{\text{C}}\)

Was this solution helpful?
failed
Unhelpful
failed
Helpful