Here are three boxplots on an unlabeled number line. A в Which boxplot has the following five-number summary?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.2: Box-and-whisker Plots
Problem 1E
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### Understanding Boxplots

**Three Boxplots on an Unlabeled Number Line:**

There are three boxplots labeled A, B, and C. Each boxplot visually represents a five-number summary of a dataset, which includes:

- Minimum (Min)
- First Quartile (Q1)
- Median (Q2)
- Third Quartile (Q3)
- Maximum (Max)

**Five-Number Summary:**

We are provided with the following five-number summary and need to determine which boxplot corresponds to these values:

- **Min = 1**
- **Q1 = 5**
- **Q2 (Median) = 6.5**
- **Q3 = 9**
- **Max = 11**

**Boxplots Explained:**

1. **Boxplot A:**
   - The box (interquartile range) is centered around Q1 and Q3.
   - Whiskers extend to the Min and Max values.

2. **Boxplot B:**
   - Similar representation as Boxplot A, but with different placements of Min, Q1, Median, Q3, and Max.

3. **Boxplot C:**
   - Again, a similar illustration with unique Min, Q1, Median, Q3, and Max values.

**Question:**

Which boxplot corresponds to the given five-number summary?

- Min = 1
- Q1 = 5
- Q2 = 6.5
- Q3 = 9
- Max = 11

**Answer Choices:**

- Boxplot A
- Boxplot B
- Boxplot C

Please select the correct boxplot based on the five-number summary provided.
Transcribed Image Text:### Understanding Boxplots **Three Boxplots on an Unlabeled Number Line:** There are three boxplots labeled A, B, and C. Each boxplot visually represents a five-number summary of a dataset, which includes: - Minimum (Min) - First Quartile (Q1) - Median (Q2) - Third Quartile (Q3) - Maximum (Max) **Five-Number Summary:** We are provided with the following five-number summary and need to determine which boxplot corresponds to these values: - **Min = 1** - **Q1 = 5** - **Q2 (Median) = 6.5** - **Q3 = 9** - **Max = 11** **Boxplots Explained:** 1. **Boxplot A:** - The box (interquartile range) is centered around Q1 and Q3. - Whiskers extend to the Min and Max values. 2. **Boxplot B:** - Similar representation as Boxplot A, but with different placements of Min, Q1, Median, Q3, and Max. 3. **Boxplot C:** - Again, a similar illustration with unique Min, Q1, Median, Q3, and Max values. **Question:** Which boxplot corresponds to the given five-number summary? - Min = 1 - Q1 = 5 - Q2 = 6.5 - Q3 = 9 - Max = 11 **Answer Choices:** - Boxplot A - Boxplot B - Boxplot C Please select the correct boxplot based on the five-number summary provided.
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