https://file.aiquickdraw.com/mathbot/file/17265397379946qd06w9a.jpg

Let's break down the given questions:

### 1. **Which box plot shows the distribution of the data?**
   - The box plot correctly represents the spread of Jacob's dataLet's break down the given questions:

### 1. **Which box plot shows the distribution of the data?**
   - The box plot correctly represents the spread of Jacob's  **14, 13, 13.5, 16, 14, 15.5, 14.5**. 
   - The median (middle value) of the data is **14.5**, and the range goes from **13** (minimum) to **16** (maximum). The box plot's whiskers and box correspond well to these values.

### 2. **What is the interquartile range (IQR) for Jacob’s data set?**
   - The interquartile range (IQR) is calculated as:
     - **Q1 (lower quartile)**: The median of the lower half of the data. For Jacob’s data, the lower half is **13, 13.5, 14** and the median of this set is **13.5**.
     - **Q3 (upper quartile)**: The median of the upper half of the data. The upper half is **14.5, 15.5, 16**, and the median is **15.5**.
     - The IQR is then:
     \[
     \text{IQR} = Q3 - Q1 = 15.5 - 13.5 = 2
     \]
     This confirms that Jacob's IQR is **2 seconds**.

### 3. **Complete the statement about consistency:**
   - Since Jacob's IQR is **2 seconds** and Carl's IQR is **1 second**, we know that Carl's times are more consistent because a smaller IQR indicates less variability. 
   - Therefore, the correct statement is:
     - "Jacob’s practice times are **less** consistent than Carl’s practice times because Jacob's IQR is **larger** than Carl's."

Let me know if you need more details or explanations!

### Related Questions:
1. What are the steps to create a box plot for a data set?
2. How can we interpret an interquartile range in a real-world context?
3. Why is a smaller IQR considered to indicate more consistency?
4. How do outliers affect the interpretation of a box plot?
5. What other measures, besides the IQR, can be used to measure variability in data?

### Tip:
When comparing variability, always consider not just the IQR but also the range and the presence of outliers for a fuller picture of the data's distribution.

Jacob is practicing the 100-meter dash. His times are 14, 13, 13.5, 16, 14, 15.5, 14.5. What is the interquartile range (IQR) and how does Jacob's practice consistency compare to Carl's, whose IQR is 1 second?

Analyze Jacob's 100-meter dash times using a box plot and calculate the interquartile range (IQR) of his data set. Compare his consistency with Carl's performance using IQR. Suitable for students in Grades 6-8, covering statistics, data consistency, and real-world data interpretation.

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