Math Problem Statement
What percent of the data is between 34 and 40?
Solution
The image shows a box plot, which visually represents the distribution of a dataset. Here's how to interpret the percent of the data between two values using the box plot:
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Box Plot Basics: The box plot has a "box" that represents the interquartile range (IQR), which contains the middle 50% of the data. The line inside the box represents the median (50th percentile). The "whiskers" extend to the minimum and maximum values that are not considered outliers.
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Interpreting the Range 34 to 40:
- The lower quartile (Q1) is approximately at 34.
- The median (Q2) is around 40.
- The data between Q1 and Q2 represents 25% of the total data (the first quartile to the median).
Therefore, 25% of the data lies between 34 and 40.
Would you like more details on box plots or any other concepts related to statistics?
Related Questions
- What does the upper quartile (Q3) represent in a box plot?
- How can you identify outliers using a box plot?
- What is the interquartile range, and why is it important?
- How do you calculate the median from a dataset?
- What are the limitations of using a box plot to represent data?
Tip: Box plots are helpful for quickly understanding the spread and skewness of data without relying on the original data points.
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Math Problem Analysis
Mathematical Concepts
Statistics
Box Plot
Formulas
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Theorems
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Suitable Grade Level
Grades 9-12
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