### Understanding Box and Whisker Plots On this page, you will learn how to create a box and whisker plot using a given data set. The following steps outline the process and key statistical measures needed. #### Data Set The data set provided for this exercise is: \[ 3, 3, 6, 7, 8, 8, 8, 9, 9, 9, 9, 11, 12, 15 \] #### Key Statistical Measures 1. **Minimum (Min)**: The smallest value in the data set. 2. **First Quartile (Q1)**: The median of the lower half of the data set, separating the lowest 25% of the data. 3. **Median (Med)**: The middle value of the data set. 4. **Third Quartile (Q3)**: The median of the upper half of the data set, separating the highest 25% of the data. 5. **Maximum (Max)**: The largest value in the data set. For the given data set, the statistical measures are determined as follows: - **Min:** 2 (However, no 2 is present in the data set, this might be a misprint; it seems like the actual Min should be 3) - **Q1:** 8 - **Med:** 9 - **Q3:** 11 - **Max:** 15 #### Creating the Box Plot Follow these steps to create a box and whisker plot visually. 1. **Draw a Number Line (x-axis):** - Mark evenly spaced numbers covering the range of the data (0 to 20 in this case). 2. **Plot the Points:** - **Min:** 3 (adjusting for the possible misprint) - **Q1:** 8 - **Med:** 9 - **Q3:** 11 - **Max:** 15 3. **Draw the Box:** - Draw a rectangle from Q1 (8) to Q3 (11). This box represents the interquartile range (IQR). - Inside the box, draw a line at the median (9). 4. **Draw the Whiskers:** - Extend lines (whiskers) from the ends of the box to the Min value (3) and the Max value (15
### Understanding Box and Whisker Plots On this page, you will learn how to create a box and whisker plot using a given data set. The following steps outline the process and key statistical measures needed. #### Data Set The data set provided for this exercise is: \[ 3, 3, 6, 7, 8, 8, 8, 9, 9, 9, 9, 11, 12, 15 \] #### Key Statistical Measures 1. **Minimum (Min)**: The smallest value in the data set. 2. **First Quartile (Q1)**: The median of the lower half of the data set, separating the lowest 25% of the data. 3. **Median (Med)**: The middle value of the data set. 4. **Third Quartile (Q3)**: The median of the upper half of the data set, separating the highest 25% of the data. 5. **Maximum (Max)**: The largest value in the data set. For the given data set, the statistical measures are determined as follows: - **Min:** 2 (However, no 2 is present in the data set, this might be a misprint; it seems like the actual Min should be 3) - **Q1:** 8 - **Med:** 9 - **Q3:** 11 - **Max:** 15 #### Creating the Box Plot Follow these steps to create a box and whisker plot visually. 1. **Draw a Number Line (x-axis):** - Mark evenly spaced numbers covering the range of the data (0 to 20 in this case). 2. **Plot the Points:** - **Min:** 3 (adjusting for the possible misprint) - **Q1:** 8 - **Med:** 9 - **Q3:** 11 - **Max:** 15 3. **Draw the Box:** - Draw a rectangle from Q1 (8) to Q3 (11). This box represents the interquartile range (IQR). - Inside the box, draw a line at the median (9). 4. **Draw the Whiskers:** - Extend lines (whiskers) from the ends of the box to the Min value (3) and the Max value (15
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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![### Understanding Box and Whisker Plots
On this page, you will learn how to create a box and whisker plot using a given data set. The following steps outline the process and key statistical measures needed.
#### Data Set
The data set provided for this exercise is:
\[ 3, 3, 6, 7, 8, 8, 8, 9, 9, 9, 9, 11, 12, 15 \]
#### Key Statistical Measures
1. **Minimum (Min)**: The smallest value in the data set.
2. **First Quartile (Q1)**: The median of the lower half of the data set, separating the lowest 25% of the data.
3. **Median (Med)**: The middle value of the data set.
4. **Third Quartile (Q3)**: The median of the upper half of the data set, separating the highest 25% of the data.
5. **Maximum (Max)**: The largest value in the data set.
For the given data set, the statistical measures are determined as follows:
- **Min:** 2 (However, no 2 is present in the data set, this might be a misprint; it seems like the actual Min should be 3)
- **Q1:** 8
- **Med:** 9
- **Q3:** 11
- **Max:** 15
#### Creating the Box Plot
Follow these steps to create a box and whisker plot visually.
1. **Draw a Number Line (x-axis):**
- Mark evenly spaced numbers covering the range of the data (0 to 20 in this case).
2. **Plot the Points:**
- **Min:** 3 (adjusting for the possible misprint)
- **Q1:** 8
- **Med:** 9
- **Q3:** 11
- **Max:** 15
3. **Draw the Box:**
- Draw a rectangle from Q1 (8) to Q3 (11). This box represents the interquartile range (IQR).
- Inside the box, draw a line at the median (9).
4. **Draw the Whiskers:**
- Extend lines (whiskers) from the ends of the box to the Min value (3) and the Max value (15](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb49a3321-18f9-41fe-ae04-3daff7be63c8%2Fede879f3-e549-415e-94d8-c4c646499716%2F0twjxiv.jpeg&w=3840&q=75)
Transcribed Image Text:### Understanding Box and Whisker Plots
On this page, you will learn how to create a box and whisker plot using a given data set. The following steps outline the process and key statistical measures needed.
#### Data Set
The data set provided for this exercise is:
\[ 3, 3, 6, 7, 8, 8, 8, 9, 9, 9, 9, 11, 12, 15 \]
#### Key Statistical Measures
1. **Minimum (Min)**: The smallest value in the data set.
2. **First Quartile (Q1)**: The median of the lower half of the data set, separating the lowest 25% of the data.
3. **Median (Med)**: The middle value of the data set.
4. **Third Quartile (Q3)**: The median of the upper half of the data set, separating the highest 25% of the data.
5. **Maximum (Max)**: The largest value in the data set.
For the given data set, the statistical measures are determined as follows:
- **Min:** 2 (However, no 2 is present in the data set, this might be a misprint; it seems like the actual Min should be 3)
- **Q1:** 8
- **Med:** 9
- **Q3:** 11
- **Max:** 15
#### Creating the Box Plot
Follow these steps to create a box and whisker plot visually.
1. **Draw a Number Line (x-axis):**
- Mark evenly spaced numbers covering the range of the data (0 to 20 in this case).
2. **Plot the Points:**
- **Min:** 3 (adjusting for the possible misprint)
- **Q1:** 8
- **Med:** 9
- **Q3:** 11
- **Max:** 15
3. **Draw the Box:**
- Draw a rectangle from Q1 (8) to Q3 (11). This box represents the interquartile range (IQR).
- Inside the box, draw a line at the median (9).
4. **Draw the Whiskers:**
- Extend lines (whiskers) from the ends of the box to the Min value (3) and the Max value (15
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