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What was the distance taken by 50% or more the bicycles traveling uphill?

The box plot you have uploaded represents the uphill distance traveled by bicycles in one hour, showing key statistical measures like the minimum, first quartile (Q1), median (Q2), third quartile (Q3), and maximum.

In this case, the distance traveled by **50% or more** of the bicycles refers to the interquartile range (IQR), which is the data between **Q1** and **Q3**. This is where the middle 50% of the data lies.

- **Q1** = 6.9 miles
- **Q3** = 8.4 miles

Thus, 50% of the bicycles traveled distances between **6.9 miles** and **8.4 miles**.

Would you like further explanation or any details on this concept?

Here are five related questions to deepen your understanding:

1. What does the range of the box plot tell you about the spread of data?
2. How do we calculate the interquartile range (IQR)?
3. What does it mean when the median is closer to Q1 than Q3 in a box plot?
4. How could you use a box plot to detect potential outliers?
5. What information is not provided by a box plot that would be useful for more detailed analysis?

**Tip:** The interquartile range (IQR) is a good indicator of the data’s spread and is less affected by extreme values or outliers than the overall range.

Analyze the uphill travel distance of bicycles using a box plot. The middle 50% of bicycles traveled between Q1 = 6.9 miles and Q3 = 8.4 miles, which represents the interquartile range (IQR). Learn how box plots summarize data distributions and identify key metrics like the median, quartiles, and more. Suitable for students in Grades 7-9.

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