Robert plans to make a box-and-whisker plot of the following set of data.

27, 14, 46, 38, 32, 18, 21

Which of the following would be the most appropriate scale for the number line below the plot?

10 to 50
20 to 50
0 to 40
0 to 100


To determine the most appropriate scale for the number line on the box-and-whisker plot, we need to consider the range of the given data set.

The data set is:  
27, 14, 46, 38, 32, 18, 21.

First, let's find the minimum and maximum values in the data set:
- **Minimum value**: 14
- **Maximum value**: 46

Now, let's evaluate each option:

1. **10 to 50**: This range includes all the data points (minimum 14, maximum 46) and provides a little extra space on both ends, which is a reasonable choice.
2. **20 to 50**: This range also includes all the data points, but it leaves out the smallest value (14), so it is not ideal.
3. **0 to 40**: This range doesn’t cover the maximum value (46), so it’s not appropriate.
4. **0 to 100**: This range is much broader than needed, and it wastes space, so it's not ideal.

### Conclusion:  
The most appropriate scale would be **10 to 50**, as it comfortably includes the entire data set and leaves a little extra space.

Would you like further details or have any questions on how to construct the box-and-whisker plot?

Here are some related questions you might find helpful:
1. How do you calculate the median, quartiles, and interquartile range for a set of data?
2. What is the purpose of a box-and-whisker plot?
3. How do you determine the outliers in a data set using a box-and-whisker plot?
4. What is the formula for the interquartile range (IQR)?
5. How do you identify the five-number summary from a box-and-whisker plot?

**Tip:** When choosing a scale for a box-and-whisker plot, ensure it covers the entire range of your data and provides some room for clarity at both ends of the number line.

Robert plans to make a box-and-whisker plot of the following set of data.

27, 14, 46, 38, 32, 18, 21

Which of the following would be the most appropriate scale for the number line below the plot?

10 to 50
20 to 50
0 to 40
0 to 100

Learn how to select the correct number line scale for a box-and-whisker plot using the data set {27, 14, 46, 38, 32, 18, 21}. This problem covers statistical concepts like range, five-number summary, and data representation, making it ideal for students in Grades 6-8.

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