(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 48852987959425 29 8779 D (a) Min = (Simplify your answer.)
(a) Find the five-number summary, and (b) draw a box-and-whisker plot of the data. 48852987959425 29 8779 D (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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![### Instructions:
(a) Find the five-number summary, and
(b) draw a box-and-whisker plot of the data.
#### Data Set:
4, 8, 8, 5, 2, 9, 7, 9, 5, 9, 4, 2, 5, 2, 9, 8, 7, 7, 9
#### (a) Minimum:
(Simplify your answer.)
#### Input Box:
Enter your answer in the answer box and then click the "Check Answer" button.
#### Parts Remaining:
5
### Explanation of Graphs:
- No specific graphs or diagrams were depicted in the image; however, the task requires the creation of a "box-and-whisker plot" based on the provided dataset.
- A "box-and-whisker plot" visually represents the data's minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
### Detailed Guide to Plotting:
1. **Order the Data:** Arrange the numbers in ascending order.
- Ordered Data: 2, 2, 2, 4, 4, 5, 5, 5, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9
2. **Find the Minimum and Maximum:**
- Minimum: 2
- Maximum: 9
3. **Calculate the Median (Q2):**
- The middle number in the ordered list, (N+1)/2-th value, where N is the number of observations. For this dataset of 19 values, the median is the 10th value.
- Median: 7
4. **Determine Q1 (First Quartile):**
- The median of the first half of the dataset (excluding the overall median if N is odd). For the first 9 values, Q1 is the 5th value.
- Q1: 4
5. **Determine Q3 (Third Quartile):**
- The median of the second half of the dataset. For the last 9 values, Q3 is the 14th value.
- Q3: 8
6. **Plot the Box-and-Whisker:**
- Draw a number line that includes](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb2abd3b-9fdf-4203-b0f8-adff902f8136%2F8d4fc59e-4e8a-47f2-b4df-daf0680783eb%2Fbua8101_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:### Instructions:
(a) Find the five-number summary, and
(b) draw a box-and-whisker plot of the data.
#### Data Set:
4, 8, 8, 5, 2, 9, 7, 9, 5, 9, 4, 2, 5, 2, 9, 8, 7, 7, 9
#### (a) Minimum:
(Simplify your answer.)
#### Input Box:
Enter your answer in the answer box and then click the "Check Answer" button.
#### Parts Remaining:
5
### Explanation of Graphs:
- No specific graphs or diagrams were depicted in the image; however, the task requires the creation of a "box-and-whisker plot" based on the provided dataset.
- A "box-and-whisker plot" visually represents the data's minimum, first quartile (Q1), median, third quartile (Q3), and maximum.
### Detailed Guide to Plotting:
1. **Order the Data:** Arrange the numbers in ascending order.
- Ordered Data: 2, 2, 2, 4, 4, 5, 5, 5, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9
2. **Find the Minimum and Maximum:**
- Minimum: 2
- Maximum: 9
3. **Calculate the Median (Q2):**
- The middle number in the ordered list, (N+1)/2-th value, where N is the number of observations. For this dataset of 19 values, the median is the 10th value.
- Median: 7
4. **Determine Q1 (First Quartile):**
- The median of the first half of the dataset (excluding the overall median if N is odd). For the first 9 values, Q1 is the 5th value.
- Q1: 4
5. **Determine Q3 (Third Quartile):**
- The median of the second half of the dataset. For the last 9 values, Q3 is the 14th value.
- Q3: 8
6. **Plot the Box-and-Whisker:**
- Draw a number line that includes
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