### Quartiles and Interquartile Range Analysis Use the accompanying data set to complete the following actions: #### a. Find the quartiles. - **The first quartile, Q₁, is** [ ] - **The second quartile, Q₂, is** [ ] - **The third quartile, Q₃, is** [ ] *(Type integers or decimals.)* #### b. Find the interquartile range. #### c. Identify any outliers. **Data Set:** 56, 58, 64, 60, 55, 59, 64, 58, 65, 63, 61, 60, 61, 63, 79 **Instructions:** - To find the quartiles (Q₁, Q₂, Q₃), first order the data set from least to greatest and find the median positions. - Calculate the interquartile range using: IQR = Q₃ - Q₁ - Identify outliers using the formula: \[ \text{Outliers} < Q₁ - 1.5 \times \text{IQR} \] or \[ \text{Outliers} > Q₃ + 1.5 \times \text{IQR} \] This exercise provides practice in statistical data analysis crucial for summarizing data distributions.
### Quartiles and Interquartile Range Analysis Use the accompanying data set to complete the following actions: #### a. Find the quartiles. - **The first quartile, Q₁, is** [ ] - **The second quartile, Q₂, is** [ ] - **The third quartile, Q₃, is** [ ] *(Type integers or decimals.)* #### b. Find the interquartile range. #### c. Identify any outliers. **Data Set:** 56, 58, 64, 60, 55, 59, 64, 58, 65, 63, 61, 60, 61, 63, 79 **Instructions:** - To find the quartiles (Q₁, Q₂, Q₃), first order the data set from least to greatest and find the median positions. - Calculate the interquartile range using: IQR = Q₃ - Q₁ - Identify outliers using the formula: \[ \text{Outliers} < Q₁ - 1.5 \times \text{IQR} \] or \[ \text{Outliers} > Q₃ + 1.5 \times \text{IQR} \] This exercise provides practice in statistical data analysis crucial for summarizing data distributions.
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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![### Quartiles and Interquartile Range Analysis
Use the accompanying data set to complete the following actions:
#### a. Find the quartiles.
- **The first quartile, Q₁, is** [ ]
- **The second quartile, Q₂, is** [ ]
- **The third quartile, Q₃, is** [ ]
*(Type integers or decimals.)*
#### b. Find the interquartile range.
#### c. Identify any outliers.
**Data Set:**
56, 58, 64, 60, 55, 59, 64, 58, 65, 63, 61, 60, 61, 63, 79
**Instructions:**
- To find the quartiles (Q₁, Q₂, Q₃), first order the data set from least to greatest and find the median positions.
- Calculate the interquartile range using: IQR = Q₃ - Q₁
- Identify outliers using the formula: \[ \text{Outliers} < Q₁ - 1.5 \times \text{IQR} \] or \[ \text{Outliers} > Q₃ + 1.5 \times \text{IQR} \]
This exercise provides practice in statistical data analysis crucial for summarizing data distributions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faba0b9cd-c878-4f87-bc49-1bf6b97748a3%2F88284b7c-9bf7-48a1-bb10-f0d9c6eea2b2%2Fgmal3wj.jpeg&w=3840&q=75)
Transcribed Image Text:### Quartiles and Interquartile Range Analysis
Use the accompanying data set to complete the following actions:
#### a. Find the quartiles.
- **The first quartile, Q₁, is** [ ]
- **The second quartile, Q₂, is** [ ]
- **The third quartile, Q₃, is** [ ]
*(Type integers or decimals.)*
#### b. Find the interquartile range.
#### c. Identify any outliers.
**Data Set:**
56, 58, 64, 60, 55, 59, 64, 58, 65, 63, 61, 60, 61, 63, 79
**Instructions:**
- To find the quartiles (Q₁, Q₂, Q₃), first order the data set from least to greatest and find the median positions.
- Calculate the interquartile range using: IQR = Q₃ - Q₁
- Identify outliers using the formula: \[ \text{Outliers} < Q₁ - 1.5 \times \text{IQR} \] or \[ \text{Outliers} > Q₃ + 1.5 \times \text{IQR} \]
This exercise provides practice in statistical data analysis crucial for summarizing data distributions.
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