Calculators, Formulas and Work with Steps -
Triangular Distribution
a :

b :

c :

x :

P(x) :

Mean (μ) :

Median :

Mode :

Variance (σ2) :

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Triangular Distribution (PDF) Calculator

Triangular distribution probability (PDF) calculator, formulas & example work with steps to estimate the probability of maximim data distribution between two points a & b in statistical experiments. By using this calculator, users may find the probability P(x), expected mean (μ), median, mode and variance2) of trinagular distribution. This probability density function (pdf) calculator is featured to generate the work with steps for any corresponding input values to help beginners to learn how the input values are being used in such calculations of triangular distribution.


The below are the important notes to remember to supply the corresponding input values for this probability density function of triangular distribution calculator.

  • The random variable x is the non-negative number value which must be greater than or equal to 0. The triangular distribution is evaluated at this random value x.
  • The lower limit a is the positive or negative number which represents the initial point of curve.
  • The upper limit b is the positive or negative number which represents the end point of curve.
  • The middle point c is the positive number which represents the height of the distribution.

Triangular Distribution & Formulas

Triangular distribution is a probability function used in statistics to analyze the behaviour of maximum likelihood of data between the interval or two points a and b. It's also known as lack of knowledge distribution has the base of (b - a) and the height (c) of 2/(b - a), often used in business simulations. It's one of a continous probability functions used in statistics & probability to characterize the subjective description of the data distribution. It looks symmetrical when c = (a + b)/2. In this calculation, the term P(x) represents the probability of maximum likelihood, mean (μ) represents the expected likelihood of data & σ2 represents the variation among the group of data.


The below formula is mathematical representation for Triangular probability density function may help users to know what are all the input parameters are being used in such calculations to characterize the data distribution. Users may use these below triangular distribution formulas for manual calculations and use this calculator to verify the results of manual calculations or generate complete work with steps.

Triangular distribution formulas
Triangular Distribution formula to estimate probablity of maximum likelihood of data between two points

Solved Example Problems with Steps

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