Question
Chau wants to find the average height of students in the \( 11^{\text {th }} \) grade at Northside High School. So he will use the heights of 35 students in the \( 11^{\text {th }} \) 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 \( 11^{\text {th }} \) grade to state their own heights. Randomly pick 35 students from the \( 11^{\text {th }} \) grade and measure their heights. Randomly pick 35 students from the \( 11^{\text {th }} \) grade and have them state their own heights.
Ask by French Valdez. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
(a) Centimeters
(b) Randomly pick 35 students and measure their heights
Solution
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 \( 11^{\text{th}} \) grade to state their own heights.
2. Randomly pick 35 students from the \( 11^{\text{th}} \) grade and measure their heights.
3. Randomly pick 35 students from the \( 11^{\text{th}} \) 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 \( 11^{\text{th}} \) grade and measure their heights.
### Final Answers:
(a) \( \square \) centimeters
(b) Randomly pick 35 students from the \( 11^{\text{th}} \) grade and measure their heights.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Bonus Knowledge
For measuring height, the most suitable units are centimeters, as they are commonly used in metric systems to indicate height. Pounds and ounces are measures of weight, while grams are more suited for mass rather than height. To ensure accurate and representative data, the best procedure would be to randomly pick 35 students from the 11th grade and measure their heights. This method reduces bias and ensures a more accurate average, unlike asking students to state their own heights, which could lead to inaccuracies.