Scores on an accounting exam ranged from 42 to 89, with quartiles Q1 = 53.75, Q2 = 77.5, and Q3 = 83.25.   (a) Select the correct box plot for the given data.   BoxPlot A BoxPlot B BoxPlot C       A. BoxPlot A B. BoxPlot B C. BoxPlot C   (b) Describe its shape (skewed left, symmetric, skewed right).   A. The distribution is skewed right.   B. The distribution is symmetric.   C. The distribution is skewed left.

MATLAB: An Introduction with Applications
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Scores on an accounting exam ranged from 42 to 89, with quartiles Q1 = 53.75, Q2 = 77.5, and Q3 = 83.25.
 
(a) Select the correct box plot for the given data.
 

BoxPlot A BoxPlot B BoxPlot C
     

A. BoxPlot A

B. BoxPlot B

C. BoxPlot C

 
(b) Describe its shape (skewed left, symmetric, skewed right).
 
A. The distribution is skewed right.
 
B. The distribution is symmetric.
 
C. The distribution is skewed left.
**Scores on an accounting exam ranged from 42 to 89, with quartiles \( Q_1 = 53.75 \), \( Q_2 = 77.5 \), and \( Q_3 = 83.25 \).**

---

**(a) Select the correct box plot for the given data.**

- **BoxPlot A**  
- **BoxPlot B**  

*Description of Box Plots:*
- **BoxPlot A:** The box extends from approximately 50 to 80, with the median line close to 60.
- **BoxPlot B:** The box extends from approximately 50 to 90, with the median line closer to 80.

**(b) Describe its shape (skewed left, symmetric, skewed right).**

- ⬜ The distribution is skewed right.
- ⬜ The distribution is symmetric.
- ⬜ The distribution is skewed left. 

*Note: To determine skewness, consider the position of the median within the box and the length of the whiskers.*
Transcribed Image Text:**Scores on an accounting exam ranged from 42 to 89, with quartiles \( Q_1 = 53.75 \), \( Q_2 = 77.5 \), and \( Q_3 = 83.25 \).** --- **(a) Select the correct box plot for the given data.** - **BoxPlot A** - **BoxPlot B** *Description of Box Plots:* - **BoxPlot A:** The box extends from approximately 50 to 80, with the median line close to 60. - **BoxPlot B:** The box extends from approximately 50 to 90, with the median line closer to 80. **(b) Describe its shape (skewed left, symmetric, skewed right).** - ⬜ The distribution is skewed right. - ⬜ The distribution is symmetric. - ⬜ The distribution is skewed left. *Note: To determine skewness, consider the position of the median within the box and the length of the whiskers.*
### BoxPlot C Explanation

This image features a box plot, which is a graphical representation of the distribution of a data set. Box plots display the data's minimum, first quartile (Q1), median, third quartile (Q3), and maximum.

**Description of the Box Plot:**

- **Whiskers:** The horizontal lines extending from the box represent the minimum and maximum values of the data set. In this box plot, the whiskers stretch approximately from 45 to 90.

- **Box:** The rectangle represents the interquartile range (IQR), which contains the middle 50% of the data. The left edge of the box (Q1) is around 60, and the right edge (Q3) is around 80.

- **Median:** The line inside the box denotes the median (Q2) of the data. Here, the median is close to the right side of the box, indicating a right-skewed distribution.

**Overall Interpretation:**

- The data is concentrated between 60 and 80, with potential outliers on either side suggested by the length of the whiskers.
- The skewness to the right suggests more data points are clustered towards the lower end with higher values extending further from the median. 

This box plot provides an efficient summary of the data set's central tendency, variability, and distribution shape.
Transcribed Image Text:### BoxPlot C Explanation This image features a box plot, which is a graphical representation of the distribution of a data set. Box plots display the data's minimum, first quartile (Q1), median, third quartile (Q3), and maximum. **Description of the Box Plot:** - **Whiskers:** The horizontal lines extending from the box represent the minimum and maximum values of the data set. In this box plot, the whiskers stretch approximately from 45 to 90. - **Box:** The rectangle represents the interquartile range (IQR), which contains the middle 50% of the data. The left edge of the box (Q1) is around 60, and the right edge (Q3) is around 80. - **Median:** The line inside the box denotes the median (Q2) of the data. Here, the median is close to the right side of the box, indicating a right-skewed distribution. **Overall Interpretation:** - The data is concentrated between 60 and 80, with potential outliers on either side suggested by the length of the whiskers. - The skewness to the right suggests more data points are clustered towards the lower end with higher values extending further from the median. This box plot provides an efficient summary of the data set's central tendency, variability, and distribution shape.
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