https://r2.erweima.ai/mathbot/image/172574894709567u94044.jpg

I reviewed the image, and the data consists of a 4x5 grid of sample values. To help you compute the five-number summary, I'll organize and analyze the numbers.

The data set appears to be:

\[
44, 72, 16, 92, 61, \\
73, 96, 51, 28, 19, \\
29, 38, 80, 47, 32, \\
71, 87, 13, 89, 63
\]

### Step-by-Step Process:
1. **Arrange the data in increasing order**.
2. **Calculate the five-number summary**:
   - Minimum value
   - First quartile (Q1)
   - Median (Q2)
   - Third quartile (Q3)
   - Maximum value
3. **Interquartile Range (IQR)** is computed as \( Q3 - Q1 \).

Let me begin by sorting the data and calculating the five-number summary.The five-number summary for the given data set is:

- **Minimum value**: 13
- **First Quartile (Q1)**: 31.25
- **Median (Q2)**: 56.0
- **Third Quartile (Q3)**: 74.75
- **Maximum value**: 96

The **Interquartile Range (IQR)** is:

\[
IQR = Q3 - Q1 = 74.75 - 31.25 = 43.5
\]

Would you like further details or clarifications?

Here are 5 related questions to expand your understanding:
1. What is the significance of the Interquartile Range (IQR)?
2. How do you determine outliers using IQR?
3. Why is the median more resistant to outliers compared to the mean?
4. What does the spread of the data indicate about its distribution?
5. How could this five-number summary be useful in comparing two different datasets?

**Tip**: The five-number summary gives you a quick snapshot of the data’s spread and central tendency, and it's especially useful for skewed distributions.

Based on the data above, identify the five-number summary (min, Q1, median, Q3, max) and calculate the Inter-Quartile Range (IQR).

Learn how to calculate the five-number summary (min, Q1, median, Q3, max) and the Interquartile Range (IQR) from a set of 20 sample data. This guide walks you through each step of organizing and summarizing the data, making it easy to understand the spread and central tendency of the data. Suitable for Grades 9-12 students.

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