Math Problem Statement
What is the value of the third quartile in the box plot shown below?
Solution
To determine the value of the third quartile (Q3) from the box plot:
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Identify the key components of the box plot:
- The left whisker represents the minimum value.
- The right whisker represents the maximum value.
- The left edge of the box represents the first quartile (Q1).
- The middle line inside the box represents the median (Q2).
- The right edge of the box represents the third quartile (Q3).
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Locate Q3 on the given number line:
- The right edge of the box in the plot aligns with 36.
Thus, the third quartile (Q3) is 36.
Correct answer: (3) 36
Would you like a detailed explanation of quartiles or box plots?
Related Questions:
- How do you find the median (Q2) in a box plot?
- What does Q1 (first quartile) represent in a dataset?
- How do you interpret the spread of data using a box plot?
- How do you determine if a dataset has outliers using a box plot?
- What is the interquartile range (IQR), and how is it calculated?
Tip:
In a box plot, the interquartile range (IQR) is the difference between Q3 and Q1, helping to measure data variability and detect outliers.
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Math Problem Analysis
Mathematical Concepts
Box Plot
Quartiles
Data Interpretation
Formulas
Interquartile Range (IQR) = Q3 - Q1
Theorems
Quartiles divide data into four equal parts
Suitable Grade Level
Grades 6-8