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Box Plots and Data Spread

by Anonymous

See how one distant point pulls the mean, then use quartiles to make a box plot and spot outliers.

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About this app

An interactive statistics learning app for exploring center and spread with a set of nine movable data points. Adjust individual values to compare the mean and median, build a box plot with Q1, Q3, and IQR, and examine standard deviation, distance from the mean, and outliers beyond 1.5×IQR. Guided missions challenge learners to create specific statistical relationships, such as matching the mean and median or widening the interquartile range.

Use cases

  • High school students learning descriptive statistics
  • Teachers demonstrating mean, median, quartiles, and outliers
  • Classroom practice with box plots and data spread
  • Self-study of standard deviation and resistance to extreme values

Features

  • Move nine data points left or right with step controls
  • Compare mean and median through an interactive balance visualization
  • Generate a box plot showing Q1, median, Q3, and the middle half of the data
  • Display IQR, standard deviation, and each point’s distance from the mean
  • Identify outliers using the 1.5×IQR rule
  • Complete guided missions across center, box plot, and spread tabs