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The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. 18, 20, 23, 26, 35, 30, 33, 35 Find the 5-number summary, check for any outliers using fences, and create a boxplot. Use the space hola

The highway mileage (mpg) for a sample of 8 different models of a car company can be found below. 18, 20, 23, 26, 35, 30, 33, 35 Find the 5-number summary, check for any outliers using fences, and create a boxplot. Use the space hola

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: Highway Mileage (MPG) The highway mileage (mpg) for a sample of 8 different models of a car company is provided below: ``` 18, 20, 23, 26, 35, 30, 33, 35 ``` #### Instructions: 1. **Find the 5-number summary**: - Minimum - First Quartile (Q1) - Median (Q2) - Third Quartile (Q3) - Maximum 2. **Check for any outliers using fences**: - Calculate the Interquartile Range (IQR) - Determine the lower and upper fences for outlier detection 3. **Create a Boxplot**: - Illustrate the distribution of the data using a boxplot #### Visual Diagrams: - **Boxplot**: A graphical representation of the data that provides a summary of the distribution based on the 5-number summary. It helps identify the median, quartiles, and potential outliers. ##### Steps for Creating a Boxplot: 1. **Plot the Minimum and Maximum Values**: Represent the minimum and maximum values of the data set on the horizontal axis. 2. **Draw the Box**: The box extends from Q1 to Q3, covering the interquartile range (IQR). 3. **Mark the Median**: The median is represented by a line inside the box. 4. **Whiskers**: Draw whiskers from the edges of the box to the minimum and maximum values unless there are outliers. 5. **Identify Outliers**: Plot any data points outside the lower and upper fences individually as outliers. Use the space below to perform the necessary calculations and create the boxplot. Ensure all steps are clearly shown and explained.
Transcribed Image Text:### Data Analysis: Highway Mileage (MPG) The highway mileage (mpg) for a sample of 8 different models of a car company is provided below: ``` 18, 20, 23, 26, 35, 30, 33, 35 ``` #### Instructions: 1. **Find the 5-number summary**: - Minimum - First Quartile (Q1) - Median (Q2) - Third Quartile (Q3) - Maximum 2. **Check for any outliers using fences**: - Calculate the Interquartile Range (IQR) - Determine the lower and upper fences for outlier detection 3. **Create a Boxplot**: - Illustrate the distribution of the data using a boxplot #### Visual Diagrams: - **Boxplot**: A graphical representation of the data that provides a summary of the distribution based on the 5-number summary. It helps identify the median, quartiles, and potential outliers. ##### Steps for Creating a Boxplot: 1. **Plot the Minimum and Maximum Values**: Represent the minimum and maximum values of the data set on the horizontal axis. 2. **Draw the Box**: The box extends from Q1 to Q3, covering the interquartile range (IQR). 3. **Mark the Median**: The median is represented by a line inside the box. 4. **Whiskers**: Draw whiskers from the edges of the box to the minimum and maximum values unless there are outliers. 5. **Identify Outliers**: Plot any data points outside the lower and upper fences individually as outliers. Use the space below to perform the necessary calculations and create the boxplot. Ensure all steps are clearly shown and explained.
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