The following data values represent a sample. What is the variance of the sample? x = 7. Use the information in the table to help you. 75 11 1 11 (x; -x)2 0 4 16 36 16
The following data values represent a sample. What is the variance of the sample? x = 7. Use the information in the table to help you. 75 11 1 11 (x; -x)2 0 4 16 36 16
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text:The image displays a multiple-choice question with four options labeled A, B, C, and D. Each option has a corresponding numerical value:
- **A. 3.8**
- **B. 18**
- **C. 4.2**
- **D. 14.4**
There are no graphs or diagrams present in the image. This format is typically used in educational settings for quizzes or assessments to evaluate comprehension of a particular topic.
![The following data values represent a sample. What is the variance of the sample? \(\bar{x} = 7\). Use the information in the table to help you.
| \(x\) | 7 | 5 | 11 | 1 | 11 |
|-------------------------|---|---|----|---|----|
| \((x_i - \bar{x})^2\) | 0 | 4 | 16 | 36| 16 |
In the table, the first row represents the sample data values, and the second row shows the squared differences between each data value and the sample mean (\( \bar{x} = 7 \)).
To calculate the variance of the sample, find the average of the squared differences:
\[
\text{Variance} = \frac{0 + 4 + 16 + 36 + 16}{5}
\]
The sample variance is the sum of the squared differences divided by the number of data values minus one (for a sample).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe5e18cbe-2086-4486-bcaa-95b482346f76%2F41dd415f-c079-4914-8906-edf90afeaa8c%2F9qnj63x_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The following data values represent a sample. What is the variance of the sample? \(\bar{x} = 7\). Use the information in the table to help you.
| \(x\) | 7 | 5 | 11 | 1 | 11 |
|-------------------------|---|---|----|---|----|
| \((x_i - \bar{x})^2\) | 0 | 4 | 16 | 36| 16 |
In the table, the first row represents the sample data values, and the second row shows the squared differences between each data value and the sample mean (\( \bar{x} = 7 \)).
To calculate the variance of the sample, find the average of the squared differences:
\[
\text{Variance} = \frac{0 + 4 + 16 + 36 + 16}{5}
\]
The sample variance is the sum of the squared differences divided by the number of data values minus one (for a sample).
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