Here are the scores of 11 students on a science test. 65, 69, 69, 77, 79, 80, 81, 82, 85, 86, 93 Notice that the scores are ordered from least to greatest. Give the five-number summary and the interquartile range for the data set. Five-number summary Minimum: 0 Lower quartile: Median: Upper quartile: Maximum: Interquartile range: X ☐ 0 0

MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Educational Website Transcription:**

---

**Topic: Analyzing Data Sets**

Here are the scores of 11 students on a science test:

65, 69, 69, 77, 79, 80, 81, 82, 85, 86, 93

Notice that the scores are ordered from least to greatest.

**Objective:**
Give the five-number summary and the interquartile range for the data set.

**Five-number summary:**

- **Minimum:** 
- **Lower quartile:** 
- **Median:**
- **Upper quartile:**
- **Maximum:**

- **Interquartile range:** 

**Explanation:**

The five-number summary provides a quick overview of the data distribution by identifying the following:

1. **Minimum:** The smallest value in the data set.
2. **Lower Quartile (Q1):** The median of the first half of the data set.
3. **Median (Q2):** The middle value when the data set is ordered.
4. **Upper Quartile (Q3):** The median of the second half of the data set.
5. **Maximum:** The largest value in the data set.

The **Interquartile Range (IQR)** is calculated by subtracting the lower quartile from the upper quartile (Q3 - Q1), and it measures the spread of the middle 50% of the data.

---

[Note: The document provided displays a user interface with a five-number summary table. Users are expected to input the calculated values to better understand data dispersion.]
Transcribed Image Text:**Educational Website Transcription:** --- **Topic: Analyzing Data Sets** Here are the scores of 11 students on a science test: 65, 69, 69, 77, 79, 80, 81, 82, 85, 86, 93 Notice that the scores are ordered from least to greatest. **Objective:** Give the five-number summary and the interquartile range for the data set. **Five-number summary:** - **Minimum:** - **Lower quartile:** - **Median:** - **Upper quartile:** - **Maximum:** - **Interquartile range:** **Explanation:** The five-number summary provides a quick overview of the data distribution by identifying the following: 1. **Minimum:** The smallest value in the data set. 2. **Lower Quartile (Q1):** The median of the first half of the data set. 3. **Median (Q2):** The middle value when the data set is ordered. 4. **Upper Quartile (Q3):** The median of the second half of the data set. 5. **Maximum:** The largest value in the data set. The **Interquartile Range (IQR)** is calculated by subtracting the lower quartile from the upper quartile (Q3 - Q1), and it measures the spread of the middle 50% of the data. --- [Note: The document provided displays a user interface with a five-number summary table. Users are expected to input the calculated values to better understand data dispersion.]
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