Consider the following sample data. Sample A: Sample 8: Sample C: 1,e20; 1,024; 1,028 7, 11, 15 65, 69, 73 (a) Find the mean and standard deviation for each sample. Sample A: Sample B: Sample C: Mean Sample Standard Deviation (b) What does this exercise show about the standard deviation? O The idea is to illustrate that the standard deviation is not a function of the value of the mean. O The idea is to illustrate that the standard deviation is a function of the value of the mean.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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**8-1 Final Exam**

---

**11**

Consider the following sample data.

- **Sample A:** 7, 11, 15
- **Sample B:** 65, 69, 73
- **Sample C:** 1,020; 1,024; 1,028

---

**(a) Find the mean and standard deviation for each sample.**

|              | Sample A | Sample B | Sample C |
|--------------|----------|----------|----------|
| Mean             |              |              |              |
| Sample Standard Deviation |              |              |              |

---

**(b) What does this exercise show about the standard deviation?**

- ☐ The idea is to illustrate that the standard deviation is not a function of the value of the mean.
- ☐ The idea is to illustrate that the standard deviation is a function of the value of the mean.

---

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**Note:** This page is styled for educational purposes using resources from McGraw-Hill Education.
Transcribed Image Text:**8-1 Final Exam** --- **11** Consider the following sample data. - **Sample A:** 7, 11, 15 - **Sample B:** 65, 69, 73 - **Sample C:** 1,020; 1,024; 1,028 --- **(a) Find the mean and standard deviation for each sample.** | | Sample A | Sample B | Sample C | |--------------|----------|----------|----------| | Mean | | | | | Sample Standard Deviation | | | | --- **(b) What does this exercise show about the standard deviation?** - ☐ The idea is to illustrate that the standard deviation is not a function of the value of the mean. - ☐ The idea is to illustrate that the standard deviation is a function of the value of the mean. --- **Navigation:** - **Prev** | **11 of 19** | **Next** **Note:** This page is styled for educational purposes using resources from McGraw-Hill Education.
**8-1 Final Exam**

### Consider the following sample data:

- **Sample A:** 7, 11, 15
- **Sample B:** 65, 69, 73
- **Sample C:** 1,020, 1,024, 1,028

### (a) Find the mean and standard deviation for each sample.

|                  | Sample A | Sample B | Sample C |
|------------------|----------|----------|----------|
| **Mean**         |          |          |          |
| **Sample Standard Deviation** |    |       |        |

### (b) What does this exercise show about the standard deviation?

- O The idea is to illustrate that the standard deviation is not a function of the value of the mean.
- O The idea is to illustrate that the standard deviation is a function of the value of the mean.

---

**Explanation for Educational Purposes:**

This exercise involves calculating the mean and standard deviation for three different samples, each with three data points. The samples are chosen to have the same spread but different mean values. The purpose is to demonstrate whether standard deviation is dependent on the mean value of a data set.

Standard deviation measures the amount of variation or dispersion in a set of values. The higher the standard deviation, the more spread out the values are. This exercise helps clarify if and how the mean value impacts standard deviation, which is critical to understanding statistical variability.
Transcribed Image Text:**8-1 Final Exam** ### Consider the following sample data: - **Sample A:** 7, 11, 15 - **Sample B:** 65, 69, 73 - **Sample C:** 1,020, 1,024, 1,028 ### (a) Find the mean and standard deviation for each sample. | | Sample A | Sample B | Sample C | |------------------|----------|----------|----------| | **Mean** | | | | | **Sample Standard Deviation** | | | | ### (b) What does this exercise show about the standard deviation? - O The idea is to illustrate that the standard deviation is not a function of the value of the mean. - O The idea is to illustrate that the standard deviation is a function of the value of the mean. --- **Explanation for Educational Purposes:** This exercise involves calculating the mean and standard deviation for three different samples, each with three data points. The samples are chosen to have the same spread but different mean values. The purpose is to demonstrate whether standard deviation is dependent on the mean value of a data set. Standard deviation measures the amount of variation or dispersion in a set of values. The higher the standard deviation, the more spread out the values are. This exercise helps clarify if and how the mean value impacts standard deviation, which is critical to understanding statistical variability.
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