The box plot below represents some data set. Approximately what percentage of the data values are less than 60?
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Answer

To solve this problem, let's analyze the box plot with the given data points:

- The box plot is divided into four sections: from the minimum to the first quartile (Q1), from Q1 to the median (Q2), from Q2 to the third quartile (Q3), and from Q3 to the maximum.

Here's what each part represents:
- 25% of the data values are between the minimum and Q1.
- 25% of the data values are between Q1 and Q2 (the median).
- 25% of the data values are between Q2 and Q3.
- 25% of the data values are between Q3 and the maximum.

If the value 60 is the median (Q2), this means that 50% of the data values are less than 60. 

If the value 60 is somewhere between Q1 and Q2, then the percentage of data values less than 60 would be between 25% and 50%. 

Since no additional specifics are given, if 60 aligns with the median:

**Approximately 50% of the data values are less than 60.**

Would you like more details or have any questions?

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Here are 5 related questions:
1. How do you determine the interquartile range (IQR) from a box plot?
2. What can you infer if the box plot is skewed?
3. How do outliers appear on a box plot?
4. Can a box plot show the mode of a data set?
5. How can you calculate the exact percentage of values below a certain point using a box plot?

**Tip:** Always pay attention to the quartiles in a box plot; they give valuable insights into the distribution of the data.

Learn how to approximate the percentage of data values less than 60 in a box plot with a detailed explanation. This problem involves understanding quartiles, percentiles, and interpreting box plot diagrams. Suitable for students in Grades 9-12.

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