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MEASURES OF VARIABILITY Class Interval 66-70 61-65 56-60 51-55 46-50 41-45 f 6 5 4 11 7 8 X fx X (x-x) |x-x| flx-x| (x-x)^2 f(x-x)^2

MEASURES OF VARIABILITY Class Interval 66-70 61-65 56-60 51-55 46-50 41-45 f 6 5 4 11 7 8 X fx X (x-x) |x-x| flx-x| (x-x)^2 f(x-x)^2

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Measures of Variability** Below is a table and associated formulas used to calculate various measures of variability. These measures help us to understand the spread or dispersion of a data set. ### Table of Data The table consists of the following columns: 1. **Class Interval**: The range of values grouped into intervals. 2. **f**: Frequency, the number of observations in each class interval. 3. **x**: Midpoint of each class interval. 4. **fx**: Product of frequency and midpoint, calculated as f times x. 5. **x̄**: Mean of the data set. 6. **(x- x̄)**: Deviation of each midpoint from the mean. 7. **|x- x̄|**: Absolute value of the deviation of each midpoint from the mean. 8. **f |x- x̄|**: Product of frequency and absolute deviation. 9. **(x- x̄)^2**: Square of the deviation of each midpoint from the mean. 10. **f (x- x̄)^2**: Product of frequency and squared deviation. ### Sample Data | Class Interval | f | x | fx | x̄ | (x- x̄) | |x- x̄| | f |x- x̄| | (x- x̄)^2 | f(x- x̄)^2 | | -------------- |:--: |:----: |:---: |:-----: |:--------: |:--------: |:-----------: |:----------: |:---------: |:-------------: | | 66-70 | 6 | | | | | | | | | | | 61-65 | 5 | | | | | | | | | | | 56-60 | 4 | | | | | | | | | | | 51-55 | 11 | | | | | | | | | | | 46-50 | 7 | | | | | |
Transcribed Image Text:**Measures of Variability** Below is a table and associated formulas used to calculate various measures of variability. These measures help us to understand the spread or dispersion of a data set. ### Table of Data The table consists of the following columns: 1. **Class Interval**: The range of values grouped into intervals. 2. **f**: Frequency, the number of observations in each class interval. 3. **x**: Midpoint of each class interval. 4. **fx**: Product of frequency and midpoint, calculated as f times x. 5. **x̄**: Mean of the data set. 6. **(x- x̄)**: Deviation of each midpoint from the mean. 7. **|x- x̄|**: Absolute value of the deviation of each midpoint from the mean. 8. **f |x- x̄|**: Product of frequency and absolute deviation. 9. **(x- x̄)^2**: Square of the deviation of each midpoint from the mean. 10. **f (x- x̄)^2**: Product of frequency and squared deviation. ### Sample Data | Class Interval | f | x | fx | x̄ | (x- x̄) | |x- x̄| | f |x- x̄| | (x- x̄)^2 | f(x- x̄)^2 | | -------------- |:--: |:----: |:---: |:-----: |:--------: |:--------: |:-----------: |:----------: |:---------: |:-------------: | | 66-70 | 6 | | | | | | | | | | | 61-65 | 5 | | | | | | | | | | | 56-60 | 4 | | | | | | | | | | | 51-55 | 11 | | | | | | | | | | | 46-50 | 7 | | | | | |
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