How this calculation works
Find the cumulative area for a distribution with a single triangular peak.
THE FORMULA
Below mode use (x−a)²/[(b−a)(m−a)], above mode use the complementary right triangleA worked example
With minimum 0, mode 4 and maximum 10, the probability through the peak is 0.4.
Good to know
The mode may lie at either endpoint.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Find the cumulative area for a distribution with a single triangular peak.
The primary result is labeled “Probability at or below x”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The mode may lie at either endpoint.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
With minimum 0, mode 4 and maximum 10, the probability through the peak is 0.4.
Which rule does this calculator apply?
Below mode use (x−a)²/[(b−a)(m−a)], above mode use the complementary right triangle