Math Problem Statement

Find the Inter Quartile Range (IQR)

Find the Inter Quartile Range (IQR)

Solution

To calculate the Interquartile Range (IQR) from the box plot:

Steps:

  1. Identify the values for Q1 and Q3:

    • Q1 (First Quartile): The left edge of the box corresponds to Q1, which is 8.
    • Q3 (Third Quartile): The right edge of the box corresponds to Q3, which is 20.
  2. Compute the IQR:

    • IQR=Q3Q1\text{IQR} = Q3 - Q1
    • IQR=208=12\text{IQR} = 20 - 8 = 12

Final Answer:

The Interquartile Range (IQR) is 12.

Would you like further details or clarification?


5 Related Questions:

  1. What does the IQR represent in a data set?
  2. How can we identify outliers using the IQR?
  3. What is the significance of Q1, Q3, and the median in a box plot?
  4. How does the IQR differ from the range of the data set?
  5. Can the IQR be used to compare the spread of two different data sets?

Tip:

The IQR is resistant to outliers, making it a reliable measure of variability in skewed data.

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Math Problem Analysis

Mathematical Concepts

Statistics
Box Plot
Interquartile Range

Formulas

IQR = Q3 - Q1

Theorems

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Suitable Grade Level

Grades 6-8