
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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![**Statistical Assignment: Five-Number Summary and Box-and-Whisker Plot**
**Instructions:**
(a) Find the five-number summary, and
(b) Draw a box-and-whisker plot of the data.
**Data Set:**
\[ 4, 8, 8, 5, 2, 9, 7, 9, 5, 9, 4, 2, 5, 9, 8, 7, 7, 9 \]
**Parts to Complete:**
1. Calculate the minimum, Q1, median, Q3, and maximum.
2. Simplify your answer.
**Additional Details:**
- Enter your answer in the provided answer box and then click "Check Answer".
System Status:
- 5 attempts remaining.
- Option available to clear all entries.
**Note: Include and explain the five-number summary and a diagram of the box-and-whisker plot based on the provided data set.**
The five-number summary involves identifying:
- Minimum value
- First quartile (Q1)
- Median
- Third quartile (Q3)
- Maximum value.
Using the summary values, you can sketch the box-and-whisker plot that visually represents the data distribution.
For instance, if the sorted data are \[ 2, 2, 4, 4, 5, 5, 5, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9 \], explanations should cover:
- Minimum: 2
- Q1: Compute by dividing the lower half of the data
- Median: Compute or identify the middle value
- Q3: Compute by dividing the upper half of the data
- Maximum: 9.
This data can then illustrate the distribution via a box-and-whisker plot, highlighting quartiles and data spread.
**Enter Answers:**
- [ ] Min = ______ (Simplify your answer and enter here)
This exercise aims to help students develop skills in statistical data analysis and visualization.](https://content.bartleby.com/qna-images/question/81d8afae-a4b5-4c3e-b6a2-80b9ed54a305/f4ef902f-ae74-46bd-b302-12edca1223da/9htjhdm_thumbnail.jpeg)
Transcribed Image Text:**Statistical Assignment: Five-Number Summary and Box-and-Whisker Plot**
**Instructions:**
(a) Find the five-number summary, and
(b) Draw a box-and-whisker plot of the data.
**Data Set:**
\[ 4, 8, 8, 5, 2, 9, 7, 9, 5, 9, 4, 2, 5, 9, 8, 7, 7, 9 \]
**Parts to Complete:**
1. Calculate the minimum, Q1, median, Q3, and maximum.
2. Simplify your answer.
**Additional Details:**
- Enter your answer in the provided answer box and then click "Check Answer".
System Status:
- 5 attempts remaining.
- Option available to clear all entries.
**Note: Include and explain the five-number summary and a diagram of the box-and-whisker plot based on the provided data set.**
The five-number summary involves identifying:
- Minimum value
- First quartile (Q1)
- Median
- Third quartile (Q3)
- Maximum value.
Using the summary values, you can sketch the box-and-whisker plot that visually represents the data distribution.
For instance, if the sorted data are \[ 2, 2, 4, 4, 5, 5, 5, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9 \], explanations should cover:
- Minimum: 2
- Q1: Compute by dividing the lower half of the data
- Median: Compute or identify the middle value
- Q3: Compute by dividing the upper half of the data
- Maximum: 9.
This data can then illustrate the distribution via a box-and-whisker plot, highlighting quartiles and data spread.
**Enter Answers:**
- [ ] Min = ______ (Simplify your answer and enter here)
This exercise aims to help students develop skills in statistical data analysis and visualization.
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