We are going to calculate the standard deviation for the following set of sample data. 13,13,7,10,4 1) First, calculate the mean. x = 2) Fill in the table below. Fill in the differences of each data value from the mean, then the squared differences. 3) Calculate the standard deviation. Standard deviation: Σ(x - x)² n-1 S = = x 13 13 7 10 4 x-x Total (x − x)² Round to two decimal places
We are going to calculate the standard deviation for the following set of sample data. 13,13,7,10,4 1) First, calculate the mean. x = 2) Fill in the table below. Fill in the differences of each data value from the mean, then the squared differences. 3) Calculate the standard deviation. Standard deviation: Σ(x - x)² n-1 S = = x 13 13 7 10 4 x-x Total (x − x)² Round to two decimal places
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
100%
![# Calculating Standard Deviation
We are going to calculate the standard deviation for the following set of sample data:
\[ 13, 13, 7, 10, 4 \]
**Steps:**
1) **First, calculate the mean.**
\[
\bar{x} = \text{(insert your answer here)}
\]
2) **Fill in the table below.** Fill in the differences of each data value from the mean, then the squared differences.
3) **Calculate the standard deviation.**
### Data Table:
| \( x \) | \( x - \bar{x} \) | \( (x - \bar{x})^2 \) |
|---------|-------------------|----------------------|
| 13 | | |
| 13 | | |
| 7 | | |
| 10 | | |
| 4 | | |
| **Total** | | |
### Standard Deviation Formula:
\[
s = \sqrt{\frac{\sum (x - \bar{x})^2}{n - 1}} = \text{(insert your answer here)}
\]
*Round to two decimal places.*](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa6224cee-e7b7-43fa-a653-8449fa090163%2F190330e6-c1dd-44fd-a098-d12b0de0d81e%2Fcdr5xhm_processed.png&w=3840&q=75)
Transcribed Image Text:# Calculating Standard Deviation
We are going to calculate the standard deviation for the following set of sample data:
\[ 13, 13, 7, 10, 4 \]
**Steps:**
1) **First, calculate the mean.**
\[
\bar{x} = \text{(insert your answer here)}
\]
2) **Fill in the table below.** Fill in the differences of each data value from the mean, then the squared differences.
3) **Calculate the standard deviation.**
### Data Table:
| \( x \) | \( x - \bar{x} \) | \( (x - \bar{x})^2 \) |
|---------|-------------------|----------------------|
| 13 | | |
| 13 | | |
| 7 | | |
| 10 | | |
| 4 | | |
| **Total** | | |
### Standard Deviation Formula:
\[
s = \sqrt{\frac{\sum (x - \bar{x})^2}{n - 1}} = \text{(insert your answer here)}
\]
*Round to two decimal places.*
Expert Solution
Step 1
From the provided information,
The data values are as follow:
13, 13, 7, 10, 4
Number of observations (n) = 5
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman