The ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for each of the two data sets. Then compare the results. Click the icon to view the data sets. X Data table CV heights =% (Round to one decimal place as needed.) Heights Ages 26 22 0 21 24 26 la 26 31 29 26 er C 32 36 34 75 74 75 79 73 73 73 7 75 74 78 77 77
The ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. Find the coefficient of variation for each of the two data sets. Then compare the results. Click the icon to view the data sets. X Data table CV heights =% (Round to one decimal place as needed.) Heights Ages 26 22 0 21 24 26 la 26 31 29 26 er C 32 36 34 75 74 75 79 73 73 73 7 75 74 78 77 77
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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Question
What is the CVheights and the CVages?
![### Analyzing the Coefficient of Variation for Baseball Team Pitchers' Heights and Ages
#### Overview
The ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. The task is to find the coefficient of variation (CV) for each of the two data sets—heights and ages—and then compare the results.
#### Data Table
The provided data includes the heights and ages of pitchers as follows:
| Heights (in inches) | Ages (in years) |
|---------------------|-----------------|
| 75 | 26 |
| 74 | 22 |
| 75 | 21 |
| 79 | 24 |
| 73 | 26 |
| 73 | 26 |
| 73 | 31 |
| 77 | 29 |
| 75 | 26 |
| 74 | 32 |
| 78 | 36 |
| 77 | 34 |
#### Instructions
1. **Coefficients of Variation Calculation:**
1. To determine the CV for heights and ages, follow these steps:
- Calculate the mean.
- Calculate the standard deviation.
- Divide the standard deviation by the mean and multiply by 100 to get the percentage.
The formula for the coefficient of variation \( \text{CV} \) is given by:
\[
\text{CV} = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100
\]
2. **Comparison of Results:**
- Compare the two coefficients of variation to understand the variability in heights and ages of the pitchers.
#### Example Calculation
Let's denote the CV for heights as \( \text{CV}_{\text{heights}} \) and for ages as \( \text{CV}_{\text{ages}} \).
##### Heights:
1. Calculate the mean of heights.
2. Calculate the standard deviation of heights.
3. Use the formula to find \( \text{CV}_{\text{heights}} \).
##### Ages:
1. Calculate the mean of ages.
2. Calculate the standard deviation of ages.
3. Use the formula to find \( \text{CV}_{\text{ages}} \).
Finally, you'll input the value for \( \text](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20a0be3e-3983-4420-aed0-1c62c53b9b01%2F2ffb6140-dfdf-497a-95ce-8aac7ce824f2%2Fmzpal6a_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Analyzing the Coefficient of Variation for Baseball Team Pitchers' Heights and Ages
#### Overview
The ages (in years) and heights (in inches) of all pitchers for a baseball team are listed. The task is to find the coefficient of variation (CV) for each of the two data sets—heights and ages—and then compare the results.
#### Data Table
The provided data includes the heights and ages of pitchers as follows:
| Heights (in inches) | Ages (in years) |
|---------------------|-----------------|
| 75 | 26 |
| 74 | 22 |
| 75 | 21 |
| 79 | 24 |
| 73 | 26 |
| 73 | 26 |
| 73 | 31 |
| 77 | 29 |
| 75 | 26 |
| 74 | 32 |
| 78 | 36 |
| 77 | 34 |
#### Instructions
1. **Coefficients of Variation Calculation:**
1. To determine the CV for heights and ages, follow these steps:
- Calculate the mean.
- Calculate the standard deviation.
- Divide the standard deviation by the mean and multiply by 100 to get the percentage.
The formula for the coefficient of variation \( \text{CV} \) is given by:
\[
\text{CV} = \left( \frac{\text{Standard Deviation}}{\text{Mean}} \right) \times 100
\]
2. **Comparison of Results:**
- Compare the two coefficients of variation to understand the variability in heights and ages of the pitchers.
#### Example Calculation
Let's denote the CV for heights as \( \text{CV}_{\text{heights}} \) and for ages as \( \text{CV}_{\text{ages}} \).
##### Heights:
1. Calculate the mean of heights.
2. Calculate the standard deviation of heights.
3. Use the formula to find \( \text{CV}_{\text{heights}} \).
##### Ages:
1. Calculate the mean of ages.
2. Calculate the standard deviation of ages.
3. Use the formula to find \( \text{CV}_{\text{ages}} \).
Finally, you'll input the value for \( \text
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