Measures of Position Concepts
2 concepts · Grades 6-8, 9-12
This family view narrows the full statistics map to one connected cluster. Read it from left to right: earlier nodes support later ones, and dense middle sections usually mark the concepts that hold the largest share of future work together.
Use the graph to plan review, then use the full concept list below to open precise pages for definitions, examples, and related content.
Concept Dependency Graph
Concepts flow left to right, from foundational to advanced. Hover to highlight connections. Click any concept to learn more.
Connected Families
Measures of Position concepts have 1 connections to other families.
All Measures of Position Concepts
Quartiles
Values that divide ordered data into four equal parts: $Q_1$ (25th percentile), $Q_2$ (median, 50th), and $Q_3$ (75th percentile).
"If you line up 100 people by height and divide into 4 equal groups, quartiles mark the dividing points. $Q_1$ is where the shortest 25% ends, $Q_2$ is the middle, $Q_3$ is where the tallest 25% begins."
Why it matters: Quartiles tell you more than just the middle - they show how data spreads across the full range.
Percentiles
Percentiles are values that divide a ranked distribution into 100 equal parts. The $n$th percentile is the value below which $n\%$ of the data falls, telling you where a specific observation stands relative to the entire dataset.
"Being in the 90th percentile means you scored better than 90% of people. It's not about your raw score - it's about your position relative to everyone else."
Why it matters: Percentiles are used in standardized testing (SAT, GRE), pediatric growth charts, income distributions, and employee performance rankings. They let you compare an individual to an entire population without knowing the raw scores of everyone else.