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.