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Statistical function

GAUSS

Returns the probability that a standard normal value falls between the mean and z standard deviations from it.

Rarely usedDifficulty 1450 · AdvancedUsage rank #372 of 520
Practice · 2 questions →

When to use it

The probability that a standard normal value falls between 0 and z: NORM.S.DIST(z,TRUE) - 0.5.

The shape of it

Syntax
=GAUSS(z)

Worked examples

  • The classic 1.96

    =GAUSS(1.96) 0.475002105

    Half of the 95% two-sided interval.

  • One sd

    =GAUSS(1) 0.341344746

    About 34% between the mean and one sd.

  • Zero

    =GAUSS(0) 0

    Nothing between 0 and 0.

Worth knowing

  • Two-sided probability within ±z is 2*GAUSS(z).
  • Old statistics tables print this column.
  • Negative z gives a negative result.

Where it goes wrong

  • Easy to confuse with the full cumulative probability.
  • Text input returns #VALUE!.

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