Scores on an accounting exam ranged from 44 to 96, with quartiles Q1=60.00, Q2=84.5, and Q3=88.50. (a) Select the correct box plot for the given data. BoxPlot A BoxPlot B BoxPlot BoxPlot 40 50 60 70 80 90 100 40 50 60 70 80 O BoxPlot A O BoxPlot B O BoxPlot C b) Describe its shape (skewed left, symmetric, skewed right). O The distribution is skewed right. O The distribution is symmetric. O The distribution is skewed left.

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### BoxPlot C: A Detailed Explanation

**Description of the Box Plot:**

The image displays a box plot, labeled as "BoxPlot C." The box plot is a graphical representation of data that provides insights into the distribution, central value, and variability of a dataset.

**Components of the Box Plot:**

1. **Box:**
   - The box represents the interquartile range (IQR), which contains the middle 50% of the data.
   - The left side of the box indicates the first quartile (Q1), around 55.
   - The right side of the box indicates the third quartile (Q3), around 75.

2. **Median Line:**
   - A vertical line inside the box shows the median of the data, situated near 65.

3. **Whiskers:**
   - Horizontal lines extend from the sides of the box (whiskers) to show the range of the data.
   - The left whisker extends to approximately 45.
   - The right whisker extends to around 85.

**Axis:**

- The x-axis is numbered from 40 to 90.

This box plot provides a compact view of the data distribution, illustrating the central tendency, spread, and any potential outliers outside the whiskers.
Transcribed Image Text:### BoxPlot C: A Detailed Explanation **Description of the Box Plot:** The image displays a box plot, labeled as "BoxPlot C." The box plot is a graphical representation of data that provides insights into the distribution, central value, and variability of a dataset. **Components of the Box Plot:** 1. **Box:** - The box represents the interquartile range (IQR), which contains the middle 50% of the data. - The left side of the box indicates the first quartile (Q1), around 55. - The right side of the box indicates the third quartile (Q3), around 75. 2. **Median Line:** - A vertical line inside the box shows the median of the data, situated near 65. 3. **Whiskers:** - Horizontal lines extend from the sides of the box (whiskers) to show the range of the data. - The left whisker extends to approximately 45. - The right whisker extends to around 85. **Axis:** - The x-axis is numbered from 40 to 90. This box plot provides a compact view of the data distribution, illustrating the central tendency, spread, and any potential outliers outside the whiskers.
Scores on an accounting exam ranged from 44 to 96, with quartiles \( Q_1 = 60.00 \), \( Q_2 = 84.5 \), and \( Q_3 = 88.50 \).

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

**BoxPlot A:**
- The box plot covers a range from approximately 40 to 100.
- The box (interquartile range) is from around 60 to 89.
- The median is near 84.5.

**BoxPlot B:**
- The box plot ranges from approximately 40 to 100.
- The box spans from about 50 to 89.
- The median is visible around 84.5.

**Options:**
- ○ BoxPlot A
- ○ BoxPlot B
- ○ BoxPlot C

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

- ○ The distribution is skewed right.
- ○ The distribution is symmetric.
- ○ The distribution is skewed left.
Transcribed Image Text:Scores on an accounting exam ranged from 44 to 96, with quartiles \( Q_1 = 60.00 \), \( Q_2 = 84.5 \), and \( Q_3 = 88.50 \). **(a)** Select the correct box plot for the given data. **BoxPlot A:** - The box plot covers a range from approximately 40 to 100. - The box (interquartile range) is from around 60 to 89. - The median is near 84.5. **BoxPlot B:** - The box plot ranges from approximately 40 to 100. - The box spans from about 50 to 89. - The median is visible around 84.5. **Options:** - ○ BoxPlot A - ○ BoxPlot B - ○ BoxPlot C **(b)** Describe its shape (skewed left, symmetric, skewed right). - ○ The distribution is skewed right. - ○ The distribution is symmetric. - ○ The distribution is skewed left.
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