Find the coefficient of variation for each of the two sets of data, then compare the variation. Round results to one decimal place. Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a sample of men aged 60-69. Men aged 20-29: Men aged 60-69: 120 122 128 118 131 123 132 154 136 125 164 139 O 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 O 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. 60-69. O 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. O 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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Topic Video
Question
**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,
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,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Means
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman