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The question asks which box plot matches the given data set:

**Data set:** 10, 14, 20, 24, 30, 40, 43, 45, 46, 48  
**Quartiles:**
- First quartile (Q1): 20
- Median (Q2): 35
- Third quartile (Q3): 45

**Steps to match the correct box plot:**
1. The **minimum** value is 10, and the **maximum** value is 48.
2. The **first quartile** is 20, which means the left edge of the box (start of the interquartile range) must be at 20.
3. The **median** is 35, so the line in the middle of the box should be at 35.
4. The **third quartile** is 45, meaning the right edge of the box should be at 45.
5. The **whiskers** should extend to 10 on the left and 48 on the right.

Looking at the box plots, **Option C** matches the quartiles and whiskers correctly:
- The left whisker extends to 10.
- The left edge of the box is at 20 (Q1).
- The line inside the box is at 35 (median).
- The right edge of the box is at 45 (Q3).
- The right whisker extends to 48.

Therefore, **Option C** is the correct box plot.

Do you need further explanation or details? 

Here are 5 related questions you might find useful:
1. How do you calculate quartiles for a data set?
2. What is the interquartile range, and how is it used in box plots?
3. How can outliers affect the appearance of a box plot?
4. What is the significance of the median in a data set?
5. How do you interpret whiskers in a box plot?

**Tip:** Box plots are useful for visualizing the spread of data and identifying potential outliers.

Which box plot matches the data set? 10, 14, 20, 24, 30, 40, 43, 45, 46, 48

This problem involves matching a box plot to a data set using key quartile values. Learn how to identify the first quartile (Q1), median (Q2), and third quartile (Q3), and how to visualize data through box plots. Suitable for students in Grades 7-10.

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