**Ages of Brian's Five Cousins:** - 20, 11, 20, 11, 16 **Steps to Calculate Population Standard Deviation:** 1) **Calculate the Mean (\(\bar{x}\)):** \[ \bar{x} = \text{(Enter here)} \] 2) **Fill in the Table Below:** - Calculate the difference between each age and the mean \((x - \bar{x})\). - Square each difference \((x - \bar{x})^2\). | \(x\) | \(x - \bar{x}\) | \((x - \bar{x})^2\) | |------|-----------------|---------------------| | 20 | [ ] | [ ] | | 11 | [ ] | [ ] | | 20 | [ ] | [ ] | | 11 | [ ] | [ ] | | 16 | [ ] | [ ] | - Calculate \(\sum (x - \bar{x})^2 =\) [ ] 3) **Calculate the Population Standard Deviation (\(\sigma\)):** \[ \sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}} \] - Round your answer to two decimal places. **Note:** \(N\) is the population size or the number of data values in the population. **Button:** - Next Question
**Ages of Brian's Five Cousins:** - 20, 11, 20, 11, 16 **Steps to Calculate Population Standard Deviation:** 1) **Calculate the Mean (\(\bar{x}\)):** \[ \bar{x} = \text{(Enter here)} \] 2) **Fill in the Table Below:** - Calculate the difference between each age and the mean \((x - \bar{x})\). - Square each difference \((x - \bar{x})^2\). | \(x\) | \(x - \bar{x}\) | \((x - \bar{x})^2\) | |------|-----------------|---------------------| | 20 | [ ] | [ ] | | 11 | [ ] | [ ] | | 20 | [ ] | [ ] | | 11 | [ ] | [ ] | | 16 | [ ] | [ ] | - Calculate \(\sum (x - \bar{x})^2 =\) [ ] 3) **Calculate the Population Standard Deviation (\(\sigma\)):** \[ \sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}} \] - Round your answer to two decimal places. **Note:** \(N\) is the population size or the number of data values in the population. **Button:** - Next Question
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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![**Ages of Brian's Five Cousins:**
- 20, 11, 20, 11, 16
**Steps to Calculate Population Standard Deviation:**
1) **Calculate the Mean (\(\bar{x}\)):**
\[
\bar{x} = \text{(Enter here)}
\]
2) **Fill in the Table Below:**
- Calculate the difference between each age and the mean \((x - \bar{x})\).
- Square each difference \((x - \bar{x})^2\).
| \(x\) | \(x - \bar{x}\) | \((x - \bar{x})^2\) |
|------|-----------------|---------------------|
| 20 | [ ] | [ ] |
| 11 | [ ] | [ ] |
| 20 | [ ] | [ ] |
| 11 | [ ] | [ ] |
| 16 | [ ] | [ ] |
- Calculate \(\sum (x - \bar{x})^2 =\) [ ]
3) **Calculate the Population Standard Deviation (\(\sigma\)):**
\[
\sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}}
\]
- Round your answer to two decimal places.
**Note:** \(N\) is the population size or the number of data values in the population.
**Button:**
- Next Question](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fef4421a9-80f4-44ac-a84c-7924c290e1b7%2Fb62d0023-4847-454d-ac0d-e0d0a61c4086%2Fiyi72sr.jpeg&w=3840&q=75)
Transcribed Image Text:**Ages of Brian's Five Cousins:**
- 20, 11, 20, 11, 16
**Steps to Calculate Population Standard Deviation:**
1) **Calculate the Mean (\(\bar{x}\)):**
\[
\bar{x} = \text{(Enter here)}
\]
2) **Fill in the Table Below:**
- Calculate the difference between each age and the mean \((x - \bar{x})\).
- Square each difference \((x - \bar{x})^2\).
| \(x\) | \(x - \bar{x}\) | \((x - \bar{x})^2\) |
|------|-----------------|---------------------|
| 20 | [ ] | [ ] |
| 11 | [ ] | [ ] |
| 20 | [ ] | [ ] |
| 11 | [ ] | [ ] |
| 16 | [ ] | [ ] |
- Calculate \(\sum (x - \bar{x})^2 =\) [ ]
3) **Calculate the Population Standard Deviation (\(\sigma\)):**
\[
\sigma = \sqrt{\frac{\sum (x - \bar{x})^2}{N}}
\]
- Round your answer to two decimal places.
**Note:** \(N\) is the population size or the number of data values in the population.
**Button:**
- Next Question
Expert Solution
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1)
The mean is calculated as follows:
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