Statistics › Section B · Descriptive statistics › Topic B.7

Range, variance, and standard deviation

A centre alone tells half the story. This topic measures how far data travel from their centre - the range, the variance, the standard deviation - and adds the z-score, the ruler that compares values across different data sets.

In this topic

  • Centre is not enough
  • The range
  • The standard deviation
  • Computing s, and why n − 1
  • Worked example: computing s from a list
  • Worked example: s from a frequency table
  • Position in SD units
  • Worked example: z-scores across two classes
  • How much data lies within k SDs
  • Choosing centre and spread together
  • Common mistakes to avoid
  • Key takeaways

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