Range= HCB-LCB =? Mean Deviation= { flx-x| n =? Variance= [ f(x-x)^2 Standard Deviation=✔✓ V =?
Range= HCB-LCB =? Mean Deviation= { flx-x| n =? Variance= [ f(x-x)^2 Standard Deviation=✔✓ V =?
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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![# Measures of Variability
This table is used to calculate statistical measures that describe the variability in a data set. Each measure provides different insights into the spread or dispersion of the data.
| Class Interval | f | x | fx | x̄ | (x−x̄) | |x−x̄| | f|x−x̄| | (x−x̄)^2 | f(x−x̄)^2 |
|----------------|----|----|----|----|--------|---|----|--------|--------|-----------|
| 40-48 | 8 | | | | | | | | | |
| 49-57 | 7 | | | | | | | | | |
| 58-66 | 6 | | | | | | | | | |
| 67-75 | 10 | | | | | | | | | |
| 76-84 | 6 | | | | | | | | | |
| 85-93 | 8 | | | | | | | | | |
| **i=** | | | | | | | | **n=** |
## Range Calculation
Range is the difference between the highest class boundary (HCB) and the lowest class boundary (LCB).
\[ \text{Range} = \text{HCB} - \text{LCB} \]
\[ \text{Range} = ? \]
## Mean Deviation Calculation
Mean deviation is the sum of the products of the absolute differences and their frequencies, divided by the total frequency.
\[ \text{Mean Deviation} = \frac{\sum f | x - \bar{x} |}{n} \]
\[ \text{Mean Deviation} = ? \]
## Variance Calculation
Variance is the measure of how much the data points differ from the mean. It is calculated as the sum of the squared differences weighted by their frequencies, divided by the total frequency.
\[ \text{Variance} = \frac{\sum f ( x](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff534fa3a-7fc6-4517-a79f-1e1d7853b104%2Fcf8bca8f-df84-455a-b2b2-de2024007b2c%2Fdifv64_processed.jpeg&w=3840&q=75)
Transcribed Image Text:# Measures of Variability
This table is used to calculate statistical measures that describe the variability in a data set. Each measure provides different insights into the spread or dispersion of the data.
| Class Interval | f | x | fx | x̄ | (x−x̄) | |x−x̄| | f|x−x̄| | (x−x̄)^2 | f(x−x̄)^2 |
|----------------|----|----|----|----|--------|---|----|--------|--------|-----------|
| 40-48 | 8 | | | | | | | | | |
| 49-57 | 7 | | | | | | | | | |
| 58-66 | 6 | | | | | | | | | |
| 67-75 | 10 | | | | | | | | | |
| 76-84 | 6 | | | | | | | | | |
| 85-93 | 8 | | | | | | | | | |
| **i=** | | | | | | | | **n=** |
## Range Calculation
Range is the difference between the highest class boundary (HCB) and the lowest class boundary (LCB).
\[ \text{Range} = \text{HCB} - \text{LCB} \]
\[ \text{Range} = ? \]
## Mean Deviation Calculation
Mean deviation is the sum of the products of the absolute differences and their frequencies, divided by the total frequency.
\[ \text{Mean Deviation} = \frac{\sum f | x - \bar{x} |}{n} \]
\[ \text{Mean Deviation} = ? \]
## Variance Calculation
Variance is the measure of how much the data points differ from the mean. It is calculated as the sum of the squared differences weighted by their frequencies, divided by the total frequency.
\[ \text{Variance} = \frac{\sum f ( x
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