MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
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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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