Which of the following two variables are both quantitative and continuous? 1. The amount of water in a lake. 2. The type of surgery performed in a hospital. 3. The time it takes to study for an exam. 4. The number of books in a library.
Which of the following two variables are both quantitative and continuous? 1. The amount of water in a lake. 2. The type of surgery performed in a hospital. 3. The time it takes to study for an exam. 4. The number of books in a library.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![### Educational Assessment: Continuous Quantitative Variables
**Question:**
Which of the following two variables are both quantitative and continuous?
1. The amount of water in a lake.
2. The type of surgery performed in a hospital.
3. The time it takes to study for an exam.
4. The number of books in a library.
**Options:**
- [ ] 2 and 4
- [ ] 1 and 2
- [x] 3 and 4
- [ ] 1 and 3
**Explanation:**
In the context of quantitative vs. qualitative and continuous vs. discrete variables:
- **Quantitative Variables** are those that can be measured numerically.
- **Continuous Variables** are quantitative variables that can take on any value within a given range.
### Possible Answers:
1. **The amount of water in a lake**: This is a quantitative and continuous variable because it can be measured in different units (liters, gallons) and can take any value within a range.
2. **The type of surgery performed in a hospital**: This is a qualitative variable because it categorizes types of surgeries without numerical measurement.
3. **The time it takes to study for an exam**: This is a quantitative and continuous variable because it can be measured in hours, minutes, seconds, etc., and can take any value within a range.
4. **The number of books in a library**: This is a quantitative variable, but it is discrete because the number of books is countable and not continuous.
Based on the above explanations, the answer "3 and 4" was selected in the provided image. However, the correct answer should be "1 and 3" as both are quantitative and continuous variables.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F29d4af3c-7e73-4db7-9d40-050b2209e722%2F01d74d8e-f630-4a8b-a508-8e69c9703e48%2Ffu97hvn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Educational Assessment: Continuous Quantitative Variables
**Question:**
Which of the following two variables are both quantitative and continuous?
1. The amount of water in a lake.
2. The type of surgery performed in a hospital.
3. The time it takes to study for an exam.
4. The number of books in a library.
**Options:**
- [ ] 2 and 4
- [ ] 1 and 2
- [x] 3 and 4
- [ ] 1 and 3
**Explanation:**
In the context of quantitative vs. qualitative and continuous vs. discrete variables:
- **Quantitative Variables** are those that can be measured numerically.
- **Continuous Variables** are quantitative variables that can take on any value within a given range.
### Possible Answers:
1. **The amount of water in a lake**: This is a quantitative and continuous variable because it can be measured in different units (liters, gallons) and can take any value within a range.
2. **The type of surgery performed in a hospital**: This is a qualitative variable because it categorizes types of surgeries without numerical measurement.
3. **The time it takes to study for an exam**: This is a quantitative and continuous variable because it can be measured in hours, minutes, seconds, etc., and can take any value within a range.
4. **The number of books in a library**: This is a quantitative variable, but it is discrete because the number of books is countable and not continuous.
Based on the above explanations, the answer "3 and 4" was selected in the provided image. However, the correct answer should be "1 and 3" as both are quantitative and continuous variables.
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