A. Find the first quartile B. Find the 2nd quartile C. Find the 3rd quartile
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A. Find the first
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd2c3ac26-d64b-48f1-9c9b-c26d07afab9f%2Fe682e973-e374-483e-99bf-ad115723bccb%2Fncvjjni.jpeg&w=3840&q=75)
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.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 3 images
Knowledge Booster
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.Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman