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PERT Project Duration Calculator

The PERT duration calculator converts optimistic, most likely and pessimistic task estimates into an expected duration and a simple uncertainty estimate.

How to use this calculator

  1. Enter non-negative estimates in the same units with optimistic ≤ most likely ≤ pessimistic.
  2. Check the units and definitions before comparing results with another source.
  3. Change one input at a time when comparing scenarios, and keep the reporting period and assumptions consistent.

Formula used by the project duration pert calculator

Expected duration = (O + 4M + P)/6; estimated standard deviation = (P − O)/6

  • Expected duration = (O + 4M + P)/6; estimated standard deviation = (P − O)/6
  • This is a task-level approximation. It does not calculate a project critical path or fully account for dependency, resource and schedule risks.
  • Inputs are checked for required values and valid ranges; displayed results are rounded for readability.

Worked examples

Worked example

Optimistic 3 days, most likely 5 days and pessimistic 11 days.

Expected duration is (3 + 4×5 + 11)/6 = 5.667 days; estimated standard deviation is 1.333 days.

Expected duration is (3 + 4×5 + 11)/6 = 5.667 days; estimated standard deviation is 1.333 days.

Understanding the result

The PERT duration calculator converts optimistic, most likely and pessimistic task estimates into an expected duration and a simple uncertainty estimate.

This is a task-level approximation. It does not calculate a project critical path or fully account for dependency, resource and schedule risks.

Important notes

This is a task-level approximation. It does not calculate a project critical path or fully account for dependency, resource and schedule risks.

The result applies to the numbers and assumptions entered here; verify specifications for safety-critical or regulated uses.

Frequently asked questions

Why is the most-likely estimate weighted four times?

The conventional PERT approximation gives the most-likely estimate extra weight when calculating the expected duration.

Does the output predict a guaranteed finish date?

No. It is an estimate based on three scenarios and not a schedule guarantee.

How do I use this calculator?

Enter non-negative estimates in the same units with optimistic ≤ most likely ≤ pessimistic.

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