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PERT Three-Point Estimate Calculator

Enter optimistic, most likely and pessimistic estimates for one or many tasks. Get expected duration, standard deviation, variance and 68/95/99.7% ranges.

Beta / PERTTriangularStd deviationMulti-task total

Calculator

TaskOptimistic (O)Most likely (M)Pessimistic (P)

PERT and three-point estimating

Three-point estimating reduces uncertainty by using three scenarios instead of one guess.

Exam tip

If the question says "PERT" or "weighted average", use the ÷6 formula. If it says "triangular" or "simple average", use ÷3. ±1σ ≈ 68%, ±2σ ≈ 95%, ±3σ ≈ 99.7%.

Frequently asked questions

Why divide by 6 in PERT?

The weights 1 + 4 + 1 add up to 6, so dividing by 6 gives a weighted average where the most likely estimate counts four times.

How do I find the standard deviation of a whole path?

Add each task's variance (σ²), then take the square root of the total. Never just add the standard deviations.

When is PERT used on the exam?

Whenever a question gives optimistic, most likely and pessimistic estimates, or asks about duration uncertainty and confidence ranges.

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