Chau wants to find the average height of students in the $$ 11^{ ext {th }} $$ grade at Northside High School. So he will use the heights of 35 students in the $$ 11^{ ext {th }} $$ grade to find the average height. Answer the questions below. (a) Which unit(s) could be used for the unit of measurement? Check all that apply. $$ \square $$ pounds $$ \square $$ ounces $$ \square $$ centimeters $$ \square $$ grams (b) Which of the procedures below would be the best way to find the average height? Ask for 35 volunteers from the $$ 11^{ ext {th }} $$ grade to state their own heights. Randomly pick 35 students from the $$ 11^{ ext {th }} $$ grade and measure their heights. Randomly pick 35 students from the $$ 11^{ ext {th }} $$ grade and have them state their own heights.

Question

Chau wants to find the average height of students in the $$ 11^{	ext {th }} $$ grade at Northside High School. So he will use the heights of 35 students in the $$ 11^{	ext {th }} $$ grade to find the average height. Answer the questions below. (a) Which unit(s) could be used for the unit of measurement? Check all that apply. $$ \square $$ pounds $$ \square $$ ounces $$ \square $$ centimeters $$ \square $$ grams (b) Which of the procedures below would be the best way to find the average height? Ask for 35 volunteers from the $$ 11^{	ext {th }} $$ grade to state their own heights. Randomly pick 35 students from the $$ 11^{	ext {th }} $$ grade and measure their heights. Randomly pick 35 students from the $$ 11^{	ext {th }} $$ grade and have them state their own heights.

UpStudy AI · Accepted Answer

Let's analyze the problem step by step.

### Part (a): Units of Measurement

We need to determine which units could be used for measuring height. The options provided are:

- Pounds
- Ounces
- Centimeters
- Grams

**Analysis of Units:**
- **Pounds**: This is a unit of weight, not height.
- **Ounces**: This is also a unit of weight, not height.
- **Centimeters**: This is a unit of length and is appropriate for measuring height.
- **Grams**: This is a unit of weight, not height.

**Conclusion for Part (a):**
The only suitable unit for measuring height is:
- $$ \square $$ centimeters

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

Now, we need to evaluate the best procedure to find the average height of the students. The options are:

1. Ask for 35 volunteers from the $$ 11^{	ext{th}} $$ grade to state their own heights.
2. Randomly pick 35 students from the $$ 11^{	ext{th}} $$ grade and measure their heights.
3. Randomly pick 35 students from the $$ 11^{	ext{th}} $$ grade and have them state their own heights.

**Analysis of Procedures:**
1. **Volunteers stating their own heights**: This could lead to bias, as those who volunteer may not represent the entire population of students.
2. **Randomly picking students and measuring their heights**: This is the best method as it ensures a random sample and accurate measurement, minimizing bias.
3. **Randomly picking students and having them state their own heights**: This could also lead to inaccuracies, as students may not accurately report their heights.

**Conclusion for Part (b):**
The best procedure to find the average height is:
- Randomly pick 35 students from the $$ 11^{	ext{th}} $$ grade and measure their heights.

### Final Answers:
(a) $$ \square $$ centimeters  
(b) Randomly pick 35 students from the $$ 11^{	ext{th}} $$ grade and measure their heights.
(a) Centimeters (b) Randomly pick 35 students and measure their heights

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