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BA II Plus: Mean and Variance Step by Step

Calculate mean and variance from a data set using BA II Plus statistics outputs.

TL;DR

Use DATA and STAT for the mean and standard deviation, then square the standard deviation when variance is required.

Formula Reference

Variance

Variance = standard deviation^2

Use sample or population standard deviation depending on the question.

BA II Plus Keystrokes

  1. 2nd DATA
  2. 2nd CLR WORK
  3. Enter observations
  4. 2nd STAT
  5. Read x-bar for mean
  6. Read Sx, then press x^2 for sample variance

Worked Example

  • Problem: Observations are 2, 4, and 6.
  • Mean = 4.
  • Sample standard deviation = 2, so sample variance = 4.

Common Mistakes

  • Forgetting to square standard deviation for variance.
  • Using old data from a previous problem.
  • Using sample outputs for a full population question.

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