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[Graphs generated by this script: setBorder(15); initPicture(6,16,-3,4);axes(1,100,1,null,null,1,'off');text([11,-3],"data");line([6,2],[6,4]); rect([8,2],[14,4]); line([11,2],[11,4]);line([16,2],[16,4]); line([6,3],[8,3]); line([14,3],[16,3]);]

Based on the boxplot above, identify the 5-number summary.

Minimum: 

Q
1
 : 

Median: 

Q
3
 : 

Maximum: 


To identify the 5-number summary from the boxplot, we need the following values:

1. **Minimum**: The lowest value represented in the data set.
2. **Q1 (First Quartile)**: The median of the lower half of the data.
3. **Median (Q2)**: The middle value of the data set.
4. **Q3 (Third Quartile)**: The median of the upper half of the data.
5. **Maximum**: The highest value represented in the data set.

Based on the graph description provided, we can estimate:

- **Minimum**: 6
- **Q1**: 8 (the left edge of the box)
- **Median (Q2)**: 11 (the line inside the box)
- **Q3**: 14 (the right edge of the box)
- **Maximum**: 16

So, the 5-number summary is:
- Minimum: 6
- Q1: 8
- Median: 11
- Q3: 14
- Maximum: 16

Would you like more details on how to interpret these values? Here are some related questions:

1. What does the minimum and maximum tell us about the data range?
2. How do you calculate Q1 and Q3 if given raw data?
3. What insights can be derived from the median?
4. How does the boxplot visually represent the data distribution?
5. Can you explain the significance of outliers in boxplots?

**Tip:** Always check for outliers when analyzing data with boxplots, as they can significantly influence the summary statistics.

Based on the boxplot above, identify the 5-number summary.

Discover how to identify the 5-number summary from a boxplot, including values for Minimum (6), Q1 (8), Median (11), Q3 (14), and Maximum (16). This guide is perfect for Grades 6-8 students learning about statistics.

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