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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**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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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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