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Estimation

PERT Variance

Var = [(P − O) / 6]²

PERT Variance measures how much uncertainty, or "spread," there is around your estimate for how long a single task will take. PERT stands for Program Evaluation and Review Technique, a method that uses three guesses for each task: the Optimistic time (O, the fastest it could go if everything goes right), the Pessimistic time (P, the slowest it could go if things go wrong), and the Most Likely time. Variance is a number that tells you how confident you can be — a small variance means the task is fairly predictable, while a large variance means the outcome is very uncertain.

To calculate it, you take the Pessimistic time, subtract the Optimistic time, divide that difference by 6, and then square the result (multiply it by itself). The "divide by 6" comes from statistics, and squaring turns the standard deviation (a measure of spread) into variance. In fact, variance is simply the square of the standard deviation.

How do you read the result? A bigger variance number means the task carries more risk and is harder to predict; a smaller number means you can plan around it with more confidence. The real power comes when you add up the variances of every task along a path through your project — variances add together nicely, which lets you understand the total uncertainty of an entire chain of work and set realistic buffers.

💡 Think of it like…

Think of it like weather forecasting for a road trip. If the forecast says "between 68 and 72 degrees," the day is predictable and you can pack confidently (small variance). If it says "anywhere from 30 to 95 degrees," you have no idea what to expect and must pack for everything (large variance). Variance is just a single number that captures how wide that range of surprises might be.

✏️ Worked example

Imagine a task to paint an office. Your team says the optimistic time is 4 days, and the pessimistic time is 16 days. To find the variance: subtract to get 16 − 4 = 12. Divide by 6 to get 12 ÷ 6 = 2. Then square it: 2 × 2 = 4. So the variance is 4 (in "days squared"). If a second task on the same path had a variance of 9, the combined variance for that path would be 4 + 9 = 13, telling you the whole path carries meaningful uncertainty you should plan a buffer for.

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