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Standard Deviation

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The standard deviation is a statistic defined as the square root of the variance that measures how spread out a set of data is.

Standard deviation is a high school-level concept that would be first encountered in a probability and statistics course. It is an Advanced Placement Statistics topic and is listed in the California State Standards for Probability and Statistics.

Prerequisites

Arithmetic Mean: Arithmetic mean is a synonym for average, i.e., the sum of all values in a list divided by the number of values present.
Variance: In statistics, variance is the measure of the expected deviation from the mean. The square root of the variance is the standard deviation.

Classroom Articles on Probability and Statistics (Up to High School Level)

  • Box-and-Whisker Plot
  • Mode
  • Conditional Probability
  • Outlier
  • Histogram
  • Problem
  • Mean
  • Sample
  • Median
  • Scatter Diagram