Find the sample standard deviation. Round to the nearest tenth. 22 29 21 24 27 28 25 36 O A. 2.8 О В. 4.2 Ос. 1.6 O D. 4.8
Find the sample standard deviation. Round to the nearest tenth. 22 29 21 24 27 28 25 36 O A. 2.8 О В. 4.2 Ос. 1.6 O D. 4.8
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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Question
![### Finding the Sample Standard Deviation
#### Problem Statement:
Find the sample standard deviation. Round to the nearest tenth.
Here’s the data set provided:
22, 29, 21, 24, 27, 28, 25, 36
#### Multiple Choice Options:
A. 2.8
B. 4.2
C. 1.6
D. 4.8
---
#### Explanation:
The sample standard deviation measures the amount of variation or dispersion in a set of values. To find it, follow these steps:
1. **Find the mean (average) of the data set.**
2. **Subtract the mean from each data point and square each result.**
3. **Sum all the squared results.**
4. **Divide this sum by the number of data points minus one (this is called the variance for the sample).**
5. **Take the square root of the variance to obtain the standard deviation.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2b01737a-9772-44bb-864b-a5a937222701%2Ffa81e80f-d0eb-433c-a7fb-c1fdc070a480%2Fe1k401_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Finding the Sample Standard Deviation
#### Problem Statement:
Find the sample standard deviation. Round to the nearest tenth.
Here’s the data set provided:
22, 29, 21, 24, 27, 28, 25, 36
#### Multiple Choice Options:
A. 2.8
B. 4.2
C. 1.6
D. 4.8
---
#### Explanation:
The sample standard deviation measures the amount of variation or dispersion in a set of values. To find it, follow these steps:
1. **Find the mean (average) of the data set.**
2. **Subtract the mean from each data point and square each result.**
3. **Sum all the squared results.**
4. **Divide this sum by the number of data points minus one (this is called the variance for the sample).**
5. **Take the square root of the variance to obtain the standard deviation.**
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