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A. Find the first quartile B. Find the 2nd quartile C. Find the 3rd quartile

A. Find the first quartile B. Find the 2nd quartile C. Find the 3rd quartile

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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A. Find the first quartile

B. Find the 2nd quartile

C. Find the 3rd quartile

**Title: Analyzing Collision Coverage Claims Data for 2007 Model Automobiles** The following data is a random sample of 18 collision coverage claims for 2007 model automobiles from the Highway Loss Data Institute: $$ 6751, 9908, 3461, 2336, 21147, 2332 \\ 189, 1185, 370, 1414, 4668, 1953 \\ 10034, 735, 802, 618, 180, 1657 $$ ### Quartiles and Outliers Calculation Find the first, second, and third quartiles and determine if there are any outliers. **Q1:** *(First Quartile)* **Q2:** *(Median/Second Quartile)* **Q3:** *(Third Quartile)* Lower limit: *(Lower Fence)* Upper limit: *(Upper Fence)* **List any outliers:** *(Separate outliers with a comma and a space if there is more than one.)* [Note: The section above needs to be filled in after performing calculations manually or using statistical software.] To help understand and visualize the concept of quartiles and outliers, consider the following steps: 1. **Arrange the Data in Ascending Order:** When working with quartiles, it's crucial to first order the data from least to greatest. 2. **Compute the Quartiles:** - **Q1 (First Quartile):** The median of the first half of the data. - **Q2 (Second Quartile/Median):** The median of the entire dataset. - **Q3 (Third Quartile):** The median of the second half of the data. 3. **Determine the Interquartile Range (IQR):** IQR = Q3 - Q1 4. **Calculate the Fences:** - **Lower Fence:** Q1 - 1.5 * IQR - **Upper Fence:** Q3 + 1.5 * IQR 5. **Identify Outliers:** - Any value below the lower fence or above the upper fence is considered an outlier. [Additional tips, diagrams, or interactive tools can be incorporated to further aid understanding.] --- By performing these steps, students can better grasp how to analyze data sets, understand their distribution, and identify anomalies.
Transcribed Image Text:**Title: Analyzing Collision Coverage Claims Data for 2007 Model Automobiles** The following data is a random sample of 18 collision coverage claims for 2007 model automobiles from the Highway Loss Data Institute: $$ 6751, 9908, 3461, 2336, 21147, 2332 \\ 189, 1185, 370, 1414, 4668, 1953 \\ 10034, 735, 802, 618, 180, 1657 $$ ### Quartiles and Outliers Calculation Find the first, second, and third quartiles and determine if there are any outliers. **Q1:** *(First Quartile)* **Q2:** *(Median/Second Quartile)* **Q3:** *(Third Quartile)* Lower limit: *(Lower Fence)* Upper limit: *(Upper Fence)* **List any outliers:** *(Separate outliers with a comma and a space if there is more than one.)* [Note: The section above needs to be filled in after performing calculations manually or using statistical software.] To help understand and visualize the concept of quartiles and outliers, consider the following steps: 1. **Arrange the Data in Ascending Order:** When working with quartiles, it's crucial to first order the data from least to greatest. 2. **Compute the Quartiles:** - **Q1 (First Quartile):** The median of the first half of the data. - **Q2 (Second Quartile/Median):** The median of the entire dataset. - **Q3 (Third Quartile):** The median of the second half of the data. 3. **Determine the Interquartile Range (IQR):** IQR = Q3 - Q1 4. **Calculate the Fences:** - **Lower Fence:** Q1 - 1.5 * IQR - **Upper Fence:** Q3 + 1.5 * IQR 5. **Identify Outliers:** - Any value below the lower fence or above the upper fence is considered an outlier. [Additional tips, diagrams, or interactive tools can be incorporated to further aid understanding.] --- By performing these steps, students can better grasp how to analyze data sets, understand their distribution, and identify anomalies.
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