(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 488629879 69526 29 8779 0 (a) Min=| | (Simplify your answer.)
(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 488629879 69526 29 8779 0 (a) Min=| | (Simplify your answer.)
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 Box-and-Whisker Plot
In this exercise, we will find the five-number summary and create a box-and-whisker plot for the given data set.
#### Question:
(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data.
#### Data:
\[ 4, 8, 8, 6, 2, 9, 7, 9, 6, 5, 2, 6, 2, 9, 8, 7, 7, 9 \]
##### Steps:
1. **Arrange the Data in Ascending Order:**
\[ 2, 2, 2, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9 \]
2. **Find the Min (Minimum):**
##### Answer Box:
\[ \text{Min} = 2 \]
3. **Find the Q1 (First Quartile):**
\[ \text{Q1} = 6 \]
4. **Find the Median (Second Quartile or Q2):**
\[ \text{Median} = 7 \]
5. **Find the Q3 (Third Quartile):**
\[ \text{Q3} = 8 \]
6. **Find the Max (Maximum):**
\[ \text{Max} = 9 \]
### Five-Number Summary:
- **Minimum (Min):** 2
- **First Quartile (Q1):** 6
- **Median (Q2):** 7
- **Third Quartile (Q3):** 8
- **Maximum (Max):** 9
### Box-and-Whisker Plot Explanation:
The box-and-whisker plot is a way of visually displaying the five-number summary. It consists of a box divided into two parts by the median, with "whiskers" that extend to the minimum and maximum values.
To create the plot:
1. **Draw a number line** that includes the range of the data.
2. **Draw a rectangular box** from Q1 (6) to Q3 (8).
3. **Draw a line** inside the box at the median (7).
4. **Draw whisk](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fee4a3761-e691-4e63-aa29-c4d18ab1c612%2F91ee7aef-fbe9-478e-8707-ebef2fdf765c%2F23y6fji_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:### Five-Number Summary and Box-and-Whisker Plot
In this exercise, we will find the five-number summary and create a box-and-whisker plot for the given data set.
#### Question:
(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data.
#### Data:
\[ 4, 8, 8, 6, 2, 9, 7, 9, 6, 5, 2, 6, 2, 9, 8, 7, 7, 9 \]
##### Steps:
1. **Arrange the Data in Ascending Order:**
\[ 2, 2, 2, 4, 5, 6, 6, 6, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9 \]
2. **Find the Min (Minimum):**
##### Answer Box:
\[ \text{Min} = 2 \]
3. **Find the Q1 (First Quartile):**
\[ \text{Q1} = 6 \]
4. **Find the Median (Second Quartile or Q2):**
\[ \text{Median} = 7 \]
5. **Find the Q3 (Third Quartile):**
\[ \text{Q3} = 8 \]
6. **Find the Max (Maximum):**
\[ \text{Max} = 9 \]
### Five-Number Summary:
- **Minimum (Min):** 2
- **First Quartile (Q1):** 6
- **Median (Q2):** 7
- **Third Quartile (Q3):** 8
- **Maximum (Max):** 9
### Box-and-Whisker Plot Explanation:
The box-and-whisker plot is a way of visually displaying the five-number summary. It consists of a box divided into two parts by the median, with "whiskers" that extend to the minimum and maximum values.
To create the plot:
1. **Draw a number line** that includes the range of the data.
2. **Draw a rectangular box** from Q1 (6) to Q3 (8).
3. **Draw a line** inside the box at the median (7).
4. **Draw whisk
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