MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Understanding the Coefficient of Variation in Systolic Blood Pressure**

To understand the variation in systolic blood pressure between different age groups, we will find the coefficient of variation for two sets of data. The coefficient of variation (CV) is a statistical measure of the relative variability, expressed as a percentage. It is calculated by dividing the standard deviation by the mean and then multiplying by 100 to get a percentage. 

Below are the systolic blood pressures (in mm Hg) for two samples:
- Men aged 20-29: 120, 122, 128, 118, 131, 123
- Men aged 60-69: 132, 154, 136, 125, 164, 139

**Options and Comparisons**

A. Men aged 20-29: 4.1%  
   Men aged 60-69: 10.7%  
   There is substantially more variation in blood pressures of the men aged 60-69.

B. Men aged 20-29: 4.0%  
   Men aged 60-69: 10.3%  
   There is substantially more variation in blood pressures of the men aged 60-69.

C. Men aged 20-29: 6.5%  
   Men aged 60-69: 4.7%  
   There is more variation in blood pressures of the men aged 20-29.

D. Men aged 20-29: 3.8%  
   Men aged 60-69: 8.3%  
   There is substantially more variation in blood pressures of the men aged 60-69.

From these options, we compare the coefficients of variation (CVs) of both age groups to determine which one has higher variability in blood pressure and how significant that difference is.

**Explanation and Calculation**

### Steps to Calculate Coefficients of Variation:
1. Calculate the mean (average) systolic blood pressure for each age group.
2. Calculate the standard deviation for each age group.
3. Divide the standard deviation by the mean for each group.
4. Multiply the resulting value by 100 to convert it to a percentage.

Remember:
- Mean = (Sum of all values) / (Number of values)
- Standard deviation measures the amount of variation or dispersion of a set of values.

### Conclusion

After performing the necessary calculations based on the given data,
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Transcribed Image Text:**Understanding the Coefficient of Variation in Systolic Blood Pressure** To understand the variation in systolic blood pressure between different age groups, we will find the coefficient of variation for two sets of data. The coefficient of variation (CV) is a statistical measure of the relative variability, expressed as a percentage. It is calculated by dividing the standard deviation by the mean and then multiplying by 100 to get a percentage. Below are the systolic blood pressures (in mm Hg) for two samples: - Men aged 20-29: 120, 122, 128, 118, 131, 123 - Men aged 60-69: 132, 154, 136, 125, 164, 139 **Options and Comparisons** A. Men aged 20-29: 4.1% Men aged 60-69: 10.7% There is substantially more variation in blood pressures of the men aged 60-69. B. Men aged 20-29: 4.0% Men aged 60-69: 10.3% There is substantially more variation in blood pressures of the men aged 60-69. C. Men aged 20-29: 6.5% Men aged 60-69: 4.7% There is more variation in blood pressures of the men aged 20-29. D. Men aged 20-29: 3.8% Men aged 60-69: 8.3% There is substantially more variation in blood pressures of the men aged 60-69. From these options, we compare the coefficients of variation (CVs) of both age groups to determine which one has higher variability in blood pressure and how significant that difference is. **Explanation and Calculation** ### Steps to Calculate Coefficients of Variation: 1. Calculate the mean (average) systolic blood pressure for each age group. 2. Calculate the standard deviation for each age group. 3. Divide the standard deviation by the mean for each group. 4. Multiply the resulting value by 100 to convert it to a percentage. Remember: - Mean = (Sum of all values) / (Number of values) - Standard deviation measures the amount of variation or dispersion of a set of values. ### Conclusion After performing the necessary calculations based on the given data,
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