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Given the data set below, calculate the range, mean, sample variance, and sample standard deviation. Range = Mean = Variance = Standard deviation B 33, 26, 8, 43, 21, 37, 16, 18, 27

Given the data set below, calculate the range, mean, sample variance, and sample standard deviation. Range = Mean = Variance = Standard deviation B 33, 26, 8, 43, 21, 37, 16, 18, 27

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
Problem 1P
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### Data Analysis Exercise Given the data set below, calculate the range, mean, sample variance, and sample standard deviation. **Data Set:** \[ 33, 26, 8, 43, 21, 37, 16, 18, 27 \] **Formulas Needed:** 1. **Range**: \[ \text{Range} = \text{Maximum value} - \text{Minimum value} \] 2. **Mean**: \[ \text{Mean} = \frac{\sum \text{(all data points)}}{\text{Number of data points}} \] 3. **Sample Variance (s^2)**: \[ s^2 = \frac{\sum (x_i - \bar{x})^2}{n-1} \] where \( x_i \) is each individual data point, \( \bar{x} \) is the mean, and \( n \) is the number of data points. 4. **Sample Standard Deviation (s)**: \[ s = \sqrt{s^2} \] **Enter your results below:** - **Range** = - **Mean** = - **Variance** = - **Standard deviation** = **Notes:** - Ensure all calculations are rounded appropriately as per your standard practice or instructions. - Use appropriate programming/software tools as needed for accurate results. - Double-check for calculation errors by verifying each step. **Graphical/Visual Representation:** There are no graphs or diagrams provided in this image. However, in an educational setting, it might be useful to create visual aids such as: - A histogram of the data points. - A box plot to visualize the range, median, and interquartile range. - A scatter plot with a line representing the mean and standard deviation. These visuals can aid in comprehensively understanding the distribution and spread of the data set.
Transcribed Image Text:### Data Analysis Exercise Given the data set below, calculate the range, mean, sample variance, and sample standard deviation. **Data Set:** \[ 33, 26, 8, 43, 21, 37, 16, 18, 27 \] **Formulas Needed:** 1. **Range**: \[ \text{Range} = \text{Maximum value} - \text{Minimum value} \] 2. **Mean**: \[ \text{Mean} = \frac{\sum \text{(all data points)}}{\text{Number of data points}} \] 3. **Sample Variance (s^2)**: \[ s^2 = \frac{\sum (x_i - \bar{x})^2}{n-1} \] where \( x_i \) is each individual data point, \( \bar{x} \) is the mean, and \( n \) is the number of data points. 4. **Sample Standard Deviation (s)**: \[ s = \sqrt{s^2} \] **Enter your results below:** - **Range** = - **Mean** = - **Variance** = - **Standard deviation** = **Notes:** - Ensure all calculations are rounded appropriately as per your standard practice or instructions. - Use appropriate programming/software tools as needed for accurate results. - Double-check for calculation errors by verifying each step. **Graphical/Visual Representation:** There are no graphs or diagrams provided in this image. However, in an educational setting, it might be useful to create visual aids such as: - A histogram of the data points. - A box plot to visualize the range, median, and interquartile range. - A scatter plot with a line representing the mean and standard deviation. These visuals can aid in comprehensively understanding the distribution and spread of the data set.
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