PERT Estimator
Three-point estimates in; expected duration, standard deviation and a confidence range out.
Activities
| Activity | Optimistic | Most likely | Pessimistic | Expected | Std dev | |
|---|---|---|---|---|---|---|
| 8.67 | 1.67 | |||||
| 21.67 | 4.33 | |||||
| 13.5 | 2.83 | |||||
| Total | 25 | 40 | 78 | 43.84 | 5.44 |
Rolled-up estimate
Variances add across activities, so the combined range is tighter than the sum of the individual ranges.
Expected duration
43.84
days ± 5.44 (1 sigma)
Confidence ranges
- 68% (1 sigma)38.4 – 49.28
- 90%34.89 – 52.79
- 95%33.18 – 54.5
- 99.7% (3 sigma)27.52 – 60.16
days
58.4%
Normal approximation. Treat it as a planning signal, not a promise.
How it works
- 1List the activities you are estimating. Three sample rows are filled in — overwrite them.
- 2For each one give an optimistic, most likely and pessimistic figure in whatever unit you work in.
- 3The expected duration is (optimistic + 4 x most likely + pessimistic) / 6, and the standard deviation is (pessimistic - optimistic) / 6.
- 4Across activities the variances are added, not the standard deviations — which is why the combined range is tighter than adding the individual ranges.
Common questions
- Why is the total range narrower than the sum of each activity’s range?
- Because the activities are treated as independent. For every task to hit its pessimistic figure at once, every risk has to land together — unlikely. Statistically the variances add and the standard deviation is the square root of that sum, which grows more slowly than a straight total.
- What does the confidence range actually mean?
- A 90% range means that if your three-point estimates are honest, roughly nine times in ten the real duration lands inside that band. It is not a guarantee, and it says nothing about risks you did not estimate.
- Should I commit to the expected duration?
- The expected value carries about a 50% chance of being met, so committing to it means missing half the time. Most teams commit somewhere near the 85–90% figure and hold the difference as schedule contingency.
- Why did my activity get a warning?
- Either the three values are out of order — optimistic should be the smallest and pessimistic the largest — or there is no gap between optimistic and pessimistic, which means you have declared the activity risk-free.
- Does this assume a normal distribution?
- Each activity uses the beta distribution behind classic PERT. The rolled-up total and the probability figure use a normal approximation, which is reasonable once you have several independent activities.
Estimates are one input. The plan is the other.
Once the estimates become a schedule, PlanView tracks the plan version by version and shows where the real dates are drifting away from the estimate.
Work out the critical path