Carlos wants to find the average time it takes East 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. $$ \begin{array}{l} ext { (a) Which unit(s) could be used for the unit of measurement? Check all that apply. } \ \square ext { kilograms } \square ext { seconds } \square ext { ounces } \square ext { minutes } \square ext { hours } \ ext { (b) Which of the procedures below would be the best way to find the average time? } \ ext { Randomly pick } 6 ext { students to run a lap around the track and have them state their own times. } \ ext { Randomly pick } 32 ext { students to run a lap around the track and measure their times. } \ ext { Measure the times of } 6 ext { volunteers who run a lap around the track. } \ ext { Ask for } 32 ext { volunteers to run a lap around the track and have them state their own times. }\end{array} $$

Question

Carlos wants to find the average time it takes East 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. $$ \begin{array}{l}	ext { (a) Which unit(s) could be used for the unit of measurement? Check all that apply. } \ \square 	ext { kilograms } \square 	ext { seconds } \square 	ext { ounces } \square 	ext { minutes } \square 	ext { hours } \ 	ext { (b) Which of the procedures below would be the best way to find the average time? } \ 	ext { Randomly pick } 6 	ext { students to run a lap around the track and have them state their own times. } \ 	ext { Randomly pick } 32 	ext { students to run a lap around the track and measure their times. } \ 	ext { Measure the times of } 6 	ext { volunteers who run a lap around the track. } \ 	ext { Ask for } 32 	ext { volunteers to run a lap around the track and have them state their own times. }\end{array} $$

UpStudy AI · Accepted Answer

Let's break down the problem step by step.

### Part (a): Units of Measurement

We need to determine which units are appropriate for measuring time. The options given are:

- kilograms
- seconds
- ounces
- minutes
- hours

**Analysis of Each Option:**
- **Kilograms**: This is a unit of mass, not time. **(Not applicable)**
- **Seconds**: This is a standard unit of time. **(Applicable)**
- **Ounces**: This is a unit of weight, not time. **(Not applicable)**
- **Minutes**: This is also a standard unit of time. **(Applicable)**
- **Hours**: This is another standard unit of time. **(Applicable)**

**Conclusion for Part (a)**: The applicable units for measuring time are:
- seconds
- minutes
- hours

### Part (b): Best Procedure to Find Average Time

Now, we need to evaluate the procedures for finding the average time it takes for students to run a lap around the track. The options are:

1. Randomly pick 6 students to run a lap around the track and have them state their own times.
2. Randomly pick 32 students to run a lap around the track and measure their times.
3. Measure the times of 6 volunteers who run a lap around the track.
4. Ask for 32 volunteers to run a lap around the track and have them state their own times.

**Analysis of Each Option:**
1. **Randomly pick 6 students and have them state their own times**: This method is not ideal because it relies on self-reported times, which may not be accurate.
2. **Randomly pick 32 students and measure their times**: This is the best option because it uses a larger sample size and ensures that the times are measured accurately.
3. **Measure the times of 6 volunteers**: While measuring is good, the sample size is too small to provide a reliable average.
4. **Ask for 32 volunteers and have them state their own times**: This method is not ideal because it relies on self-reported times, which may not be accurate, even with a larger sample size.

**Conclusion for Part (b)**: The best procedure to find the average time is:
- Randomly pick 32 students to run a lap around the track and measure their times.

### Final Answers:
- **(a)** Applicable units: seconds, minutes, hours
- **(b)** Best procedure: Randomly pick 32 students to run a lap around the track and measure their times.
- **(a)** Applicable units: seconds, minutes, hours - **(b)** Best procedure: Randomly pick 32 students to run a lap around the track and measure their times.

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