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Engineering function

ERF

Returns the error function.

Rarely usedDifficulty 1500 · AdvancedUsage rank #487 of 520
Practice · 2 questions →

When to use it

The error function, integrated from 0 to the limit, or between two limits. Related to the normal distribution.

The shape of it

Syntax
=ERF(lower_limit, [upper_limit])

Worked examples

  • One limit

    =ERF(0.5) 0.520499878

    From 0 to 0.5.

  • One

    =ERF(1) 0.842700793

    From 0 to 1.

  • Two limits

    =ERF(0,1) 0.842700793

    Between two limits.

Worth knowing

  • Normal CDF: 0.5*(1+ERF(z/SQRT(2))).
  • ERF.PRECISE is the same to more precision.
  • ERFC is 1 - ERF.

Where it goes wrong

  • Negative lower limits returned #NUM! before Excel 2010.
  • Text arguments return #VALUE!.

Related

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