Which of the box-and-whisker plots represent data that has a median of 18 and a lower quartile of 16?


Responses

Plot 2

Plot 2

Plot 3

Plot 3

Plots 1 and 2

Plots 1 and 2

Plots 1 and 3

To determine which box-and-whisker plot(s) represent data with a **median of 18** and a **lower quartile of 16**, we need to recall the key elements of such a plot:

1. **Median**: The line inside the box, which represents the middle value of the data set.
2. **Lower Quartile (Q1)**: The left edge of the box, representing the first quartile (25th percentile).

### How to interpret this:
- **Median of 18**: Look for plots where the middle line of the box is at 18.
- **Lower Quartile of 16**: Look for plots where the left edge of the box is at 16.

Based on these criteria, **Plots 1 and 2** appear to represent data with a **median of 18** and a **lower quartile of 16**.

### Correct Response: **Plots 1 and 2**

Would you like more detailed explanations or clarifications? Here are some further questions to deepen your understanding:

1. How do you calculate quartiles from a data set?
2. What is the importance of outliers in box-and-whisker plots?
3. How does the interquartile range (IQR) relate to a box-and-whisker plot?
4. What are other ways to visualize data besides box-and-whisker plots?
5. How do you interpret the whiskers in these plots?

**Tip**: When reading a box-and-whisker plot, always check the values corresponding to the edges of the box and the position of the median line for a quick interpretation of the quartiles and overall spread.

Which of the box-and-whisker plots represent data that has a median of 18 and a lower quartile of 16?

Explore how to interpret box-and-whisker plots with a median of 18 and a lower quartile of 16. Learn key concepts like quartiles, median, and how to visualize statistical data. Perfect for students in Grades 6-8.

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