Chang wants to find the average time it takes Central High School students to run a lap around the track. So he will consider a sample of students to find the average time. Answer the questions below. $$ \begin{array}{l} ext { (a) Which unit(s) could be used for the unit of measurement? Check all that apply. } \ \square ext { pounds } \square ext { hours } \ ext { (b) Which of the procedures below would be the best way to find the average time? } \ ext { Randomly pick } 40 ext { students to run a lap around the track and measure their times. } \ ext { Randomly pick } 6 ext { students to run a lap around the track and have them state their own times. } \ ext { Ask for } 40 ext { volunteers to run a lap around the track and have them state their own times. } \ ext { Measure the times of } 6 ext { volunteers who run a lap around the track. }\end{array} $$

Question

Chang wants to find the average time it takes Central High School students to run a lap around the track. So he will consider a sample of students to find the average time. Answer the questions below. $$ \begin{array}{l}	ext { (a) Which unit(s) could be used for the unit of measurement? Check all that apply. } \ \square 	ext { pounds } \square 	ext { hours } \ 	ext { (b) Which of the procedures below would be the best way to find the average time? } \ 	ext { Randomly pick } 40 	ext { students to run a lap around the track and measure their times. } \ 	ext { Randomly pick } 6 	ext { students to run a lap around the track and have them state their own times. } \ 	ext { Ask for } 40 	ext { volunteers to run a lap around the track and have them state their own times. } \ 	ext { Measure the times of } 6 	ext { volunteers who run a lap around the track. }\end{array} $$

UpStudy AI · Accepted Answer

Let's break down the problem step by step.

### Part (a): Units of Measurement
We need to determine which units could be used for measuring the time it takes students to run a lap around the track.

- **Pounds**: This unit measures weight, not time. Therefore, it is not applicable.
- **Hours**: This unit measures time and is appropriate for measuring how long it takes to run a lap.

**Conclusion for Part (a)**: The only applicable unit for measuring time is **hours**.

### Part (b): Best Procedure to Find Average Time
Now, we need to evaluate the procedures provided to find the average time it takes for students to run a lap.

1. **Randomly pick 40 students to run a lap around the track and measure their times.**
   - This method is likely to provide a representative sample of the entire student population, as it uses random selection and a larger sample size.

2. **Randomly pick 6 students to run a lap around the track and have them state their own times.**
   - While random selection is good, the small sample size (6 students) may not provide an accurate average.

3. **Ask for 40 volunteers to run a lap around the track and have them state their own times.**
   - This method introduces bias, as volunteers may not represent the average student (e.g., more athletic students may volunteer).

4. **Measure the times of 6 volunteers who run a lap around the track.**
   - Similar to the second option, this has a small sample size and relies on volunteers, which can lead to bias.

**Conclusion for Part (b)**: The best procedure is to **randomly pick 40 students to run a lap around the track and measure their times**. This method ensures a larger, more representative sample and accurate measurement of time.

### Summary of Answers
- **(a)** Check: **hours**
- **(b)** Best procedure: **Randomly pick 40 students to run a lap around the track and measure their times.**
- **(a)** hours - **(b)** Randomly pick 40 students to run a lap around the track and measure their times.

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