Scores on on (a) Select the correct box plot fort BaxPlot BoxPlot B O BoxPlot AO BoxPlor B b) Describe its shape (skewed left, symmesdic. a The distrioution The tribuen

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Author:Amos Gilat
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---

## Interpreting Box Plots: Understanding Data Distribution

### Exam Scores Analysis

**Context:**  
Scores on an accounting exam ranged from 38 to 92 with quartiles Q1 = 56.75, Q2 = 66.0, and Q3 = 79.75.

---

### Question (a): Selecting the Correct Box Plot

Which of the following box plots accurately represents the given data distribution?

#### Box Plot A:
- Minimum: ~40
- Q1: ~60
- Median (Q2): ~67
- Q3: ~78
- Maximum: ~90

#### Box Plot B:
- Minimum: ~40
- Q1: ~56.75
- Median (Q2): ~66
- Q3: ~79.75
- Maximum: ~100

#### Box Plot C:
- Minimum: ~38
- Q1: ~56
- Median (Q2): ~66
- Q3: ~80
- Maximum: ~92

### Options:
- A) Box Plot A
- B) Box Plot B
- C) Box Plot C 

---

### Question (b): Describing the Data Shape

Based on the correct box plot selected, describe the shape of the distribution:
- Is the distribution symmetric?
- Is the distribution skewed to the left?
- Is the distribution skewed to the right?

### Options:
- A) The distribution is symmetric.
- B) The distribution is skewed left.
- C) The distribution is skewed right.

---

### Detailed Graph Descriptions:

#### Box Plot A:
- **Box Plot Description:** The lower whisker starts at approximately 40, Q1 is around 60, the median is near 67, Q3 is close to 78, and the upper whisker extends to about 90. The box is slightly left-skewed indicating a possible skew towards lower values but not significantly.

#### Box Plot B:
- **Box Plot Description:** The lower whisker starts at approximately 40, Q1 is precisely 56.75, the median is exactly at 66, Q3 is exactly 79.75, and the upper whisker extends to about 100. This box plot accurately represents the given quartiles and maximum.

#### Box Plot C:
- **Box Plot Description:** The lower whisker starts at 38, Q1 is approximately 56, the median is at
Transcribed Image Text:--- ## Interpreting Box Plots: Understanding Data Distribution ### Exam Scores Analysis **Context:** Scores on an accounting exam ranged from 38 to 92 with quartiles Q1 = 56.75, Q2 = 66.0, and Q3 = 79.75. --- ### Question (a): Selecting the Correct Box Plot Which of the following box plots accurately represents the given data distribution? #### Box Plot A: - Minimum: ~40 - Q1: ~60 - Median (Q2): ~67 - Q3: ~78 - Maximum: ~90 #### Box Plot B: - Minimum: ~40 - Q1: ~56.75 - Median (Q2): ~66 - Q3: ~79.75 - Maximum: ~100 #### Box Plot C: - Minimum: ~38 - Q1: ~56 - Median (Q2): ~66 - Q3: ~80 - Maximum: ~92 ### Options: - A) Box Plot A - B) Box Plot B - C) Box Plot C --- ### Question (b): Describing the Data Shape Based on the correct box plot selected, describe the shape of the distribution: - Is the distribution symmetric? - Is the distribution skewed to the left? - Is the distribution skewed to the right? ### Options: - A) The distribution is symmetric. - B) The distribution is skewed left. - C) The distribution is skewed right. --- ### Detailed Graph Descriptions: #### Box Plot A: - **Box Plot Description:** The lower whisker starts at approximately 40, Q1 is around 60, the median is near 67, Q3 is close to 78, and the upper whisker extends to about 90. The box is slightly left-skewed indicating a possible skew towards lower values but not significantly. #### Box Plot B: - **Box Plot Description:** The lower whisker starts at approximately 40, Q1 is precisely 56.75, the median is exactly at 66, Q3 is exactly 79.75, and the upper whisker extends to about 100. This box plot accurately represents the given quartiles and maximum. #### Box Plot C: - **Box Plot Description:** The lower whisker starts at 38, Q1 is approximately 56, the median is at
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