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Chebyshev's Inequality: Describing Any Set of Data

Craig Bauling
Organization: Wolfram Research, Inc.
Education level


Students will be able to apply Chebyshev's Inequality to determine the lower bounds for several key values of k and determine the minimum percentage of data elements that lie within k standard deviations of any data set's mean.

This notebook covers topics that fulfill the following NCTM standards:
  • Grades 9-12: Data Analysis and Probability: Understand and apply basic concepts of probability
  • Grades 9-12: Problem Solving: Build new mathematical knowledge through problem solving

*Business and Economics
*Education > Precollege
*Mathematics > Probability and Statistics

Business Statistics, Introduction to Statistics, Introduction to Business, Chebyshev's Inequality, Lower Bounds, Standard Deviations, Data Elements, k Values, Analyze Data, Probability, Middle School, High School, Precollege, NCTM
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ChebyshevsInequality.nb (189.1 KB) - Mathematica Notebook