Calculate the 5 number summary and the interquartile range of the following data: 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67
Calculate the 5 number summary and the interquartile range of the following data: 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67
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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![### Five Number Summary and Interquartile Range Calculation
To calculate the five number summary and the interquartile range of the following data set:
\[ 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67 \]
#### Five Number Summary
- **Q1** (First Quartile) = [Insert calculation here]
- **Q2** (Median) = [Insert calculation here]
- **Q3** (Third Quartile) = [Insert calculation here]
- **Min** (Minimum value) = [Insert calculation here]
- **Max** (Maximum value) = [Insert calculation here]
#### Interquartile Range (IQR)
\[ \text{IQR} = Q3 - Q1 \]
- **IQR** = [Insert calculation here]
#### Potential Outlier
There is a potential outlier in this data set.
- **A. False**
- **B. True**
Please perform the calculations as follows to fill in the summary:
1. **Sort the Data:**
\[ 18, 24, 28, 35, 38, 42, 43, 45, 46, 50, 52, 56, 64, 67, 72 \]
2. **Calculate Q1, Q2, and Q3:**
- **Q1:** The median of the first half of the data
- **Q2 (Median):** The median of the entire data set
- **Q3:** The median of the second half of the data
3. **Find Min and Max:**
- **Min:** The smallest number in the data set
- **Max:** The largest number in the data set
4. **Calculate the IQR:**
- Subtract Q1 from Q3 to get the IQR
Use the results from the calculations to complete the five number summary and determine if there is a potential outlier in the data set.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2ceb2d65-29b4-49d4-9830-4ba06589987b%2F07f31cbc-7c75-4595-8f8a-fe4e861b534b%2Futseto2_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Five Number Summary and Interquartile Range Calculation
To calculate the five number summary and the interquartile range of the following data set:
\[ 18, 50, 45, 35, 72, 38, 28, 56, 64, 24, 52, 43, 42, 46, 67 \]
#### Five Number Summary
- **Q1** (First Quartile) = [Insert calculation here]
- **Q2** (Median) = [Insert calculation here]
- **Q3** (Third Quartile) = [Insert calculation here]
- **Min** (Minimum value) = [Insert calculation here]
- **Max** (Maximum value) = [Insert calculation here]
#### Interquartile Range (IQR)
\[ \text{IQR} = Q3 - Q1 \]
- **IQR** = [Insert calculation here]
#### Potential Outlier
There is a potential outlier in this data set.
- **A. False**
- **B. True**
Please perform the calculations as follows to fill in the summary:
1. **Sort the Data:**
\[ 18, 24, 28, 35, 38, 42, 43, 45, 46, 50, 52, 56, 64, 67, 72 \]
2. **Calculate Q1, Q2, and Q3:**
- **Q1:** The median of the first half of the data
- **Q2 (Median):** The median of the entire data set
- **Q3:** The median of the second half of the data
3. **Find Min and Max:**
- **Min:** The smallest number in the data set
- **Max:** The largest number in the data set
4. **Calculate the IQR:**
- Subtract Q1 from Q3 to get the IQR
Use the results from the calculations to complete the five number summary and determine if there is a potential outlier in the data set.
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