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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### Ages of Music Teachers Analysis

The following data set represents the ages of 12 music teachers in a school district:

\[ 31, 33, 36, 38, 39, 40, 40, 42, 43, 50, 52, 56 \]

These ages are arranged in ascending order. The task is to determine the five-number summary and the interquartile range (IQR) for this data set.

#### Five-Number Summary

A five-number summary consists of:

- **Minimum**: The smallest value in the data set.
- **Lower Quartile (Q1)**: The median of the lower half of the data set (25th percentile).
- **Median (Q2)**: The middle value of the data set (50th percentile).
- **Upper Quartile (Q3)**: The median of the upper half of the data set (75th percentile).
- **Maximum**: The largest value in the data set.

#### Interquartile Range (IQR)

The IQR is calculated as the difference between the upper quartile and the lower quartile. It measures the range of the middle 50% of the data.

### Summary Table

The table below is provided for filling in the five-number summary and calculating the interquartile range:

| Five-number Summary  |     |
|----------------------|-----|
| Minimum              |     |
| Lower quartile       |     |
| Median               |     |
| Upper quartile       |     |
| Maximum              |     |
| Interquartile range  |     |

#### Instructional Features

- **Explanation Button**: Clicking this will provide more detailed instructions and clarification on how to determine each component of the five-number summary.
- **Check Button**: After calculating the values, use this to verify your answers.

This interactive approach aids in comprehending statistical summaries and promotes hands-on learning.
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Transcribed Image Text:### Ages of Music Teachers Analysis The following data set represents the ages of 12 music teachers in a school district: \[ 31, 33, 36, 38, 39, 40, 40, 42, 43, 50, 52, 56 \] These ages are arranged in ascending order. The task is to determine the five-number summary and the interquartile range (IQR) for this data set. #### Five-Number Summary A five-number summary consists of: - **Minimum**: The smallest value in the data set. - **Lower Quartile (Q1)**: The median of the lower half of the data set (25th percentile). - **Median (Q2)**: The middle value of the data set (50th percentile). - **Upper Quartile (Q3)**: The median of the upper half of the data set (75th percentile). - **Maximum**: The largest value in the data set. #### Interquartile Range (IQR) The IQR is calculated as the difference between the upper quartile and the lower quartile. It measures the range of the middle 50% of the data. ### Summary Table The table below is provided for filling in the five-number summary and calculating the interquartile range: | Five-number Summary | | |----------------------|-----| | Minimum | | | Lower quartile | | | Median | | | Upper quartile | | | Maximum | | | Interquartile range | | #### Instructional Features - **Explanation Button**: Clicking this will provide more detailed instructions and clarification on how to determine each component of the five-number summary. - **Check Button**: After calculating the values, use this to verify your answers. This interactive approach aids in comprehending statistical summaries and promotes hands-on learning.
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