Math Problem Statement

What is the interquartile range (IQR)

Solution

The Interquartile Range (IQR) is a measure of statistical dispersion, which describes the spread of the middle 50% of the data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1):

IQR=Q3Q1\text{IQR} = Q3 - Q1

Where:

  • Q1 (First Quartile) is the 25th percentile of the data, meaning 25% of the data lies below this value.
  • Q3 (Third Quartile) is the 75th percentile of the data, meaning 75% of the data lies below this value.

The IQR helps to measure the variability in a dataset by focusing on the central

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Math Problem Analysis

Mathematical Concepts

Statistics
Interquartile Range (IQR)
Percentiles

Formulas

IQR = Q3 - Q1

Theorems

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Suitable Grade Level

Grades 6-8