Expected Value Calculators

Calculate Expected Value

Interactive calculators for various data types and distributions with step-by-step solutions and visualizations.

Basic Calculators

Direct Data Calculator

Calculate expected value from probability distribution table

Raw Data Calculator

Calculate expected value from a list of raw data values

Grouped Data Calculator

Calculate expected value from grouped frequency data

Discrete Distributions

Discrete Uniform

Expected value for equally likely discrete outcomes

Binomial Distribution

Expected value for n trials with probability p

Geometric Distribution

Expected value for trials until first success

Negative Binomial

Expected value for trials until r successes

Hypergeometric Distribution

Expected value for sampling without replacement

Poisson Distribution

Expected value for events in a fixed interval

Continuous Distributions

Continuous Uniform

Expected value for uniform continuous distribution

Exponential Distribution

Expected value for exponential distribution

Normal Distribution

Expected value (mean μ) for normal distribution

What is Expected Value?

How to Calculate Expected Value

What is Expected Value?

Expected value (mean) is the average outcome you would expect from a probability distribution over many trials. It represents the center of the distribution and is fundamental to probability theory and statistics.

How to Calculate Expected Value

For discrete distributions, multiply each outcome by its probability and sum the results. For continuous distributions, integrate the product of x and the probability density function over the distribution's range.