https://file.aiquickdraw.com/mathbot/file/17265396225249jpnznp4.jpg

Let's analyze the data given in the problem and match it to the appropriate box plot.

### Data:
The times recorded are:  
14, 13, 13.5, 16, 14, 15.5, 14.5

#### Steps for constructing a box plot:
1. **Order the data**: 13, 13.5, 14, 14, 14.5, 15.5, 16
2. **Identify key values**:
   - **Minimum**: 13
   - **Maximum**: 16
   - **Median (Q2)**: The median is the middle value, which is 14.
   - **First Quartile (Q1)**: The median of the lower half of the data (13, 13.5, 14) is 13.5.
   - **Third Quartile (Q3)**: The median of the upper half of the data (14.5, 15.5, 16) is 15.5.

#### Box plot summary:
- **Min**: 13
- **Q1**: 13.5
- **Median**: 14
- **Q3**: 15.5
- **Max**: 16

Now, let's match this to the available box plots:
- The box plot with the minimum at 13, maximum at 16, a median at 14, and quartiles at 13.5 and 15.5 is the correct one.

### Answer:
The top-left box plot matches this distribution.

Do you have any questions or need further details?

Here are 5 related questions for further practice:
1. How would the box plot change if an outlier is present?
2. What is the range of the dataset?
3. How would the quartiles change if the value 12 were added to the dataset?
4. What does the interquartile range (IQR) represent, and what is its value here?
5. How would the box plot look if all times were the same?

**Tip**: Remember, the median divides the dataset into two equal halves, and the quartiles further divide these halves into quarters!

Jacob is practicing the 100 meter dash. The data show his times in seconds: 14, 13, 13.5, 16, 14, 15.5, 14.5. Which box plot shows the distribution of the data?

Learn how to interpret a box plot using data from Jacob's 100 meter dash times: 14, 13, 13.5, 16, 14, 15.5, 14.5. The solution covers ordering data, calculating quartiles, and identifying the correct box plot distribution. Suitable for students in Grades 6-8.

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