How to use the binomial mean and standard deviation calculator
Find the expected number of successes and its spread for a fixed number of independent trials. Enter number of trials, probability of success in the fields above; the mean (expected successes), standard deviation are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “binomial mean”, “binomial standard deviation”, “expected successes out of n”, “calculate binomial mean and standard deviation”, “find mean”.
Formula
Variables
- n — Number of trials
- p — Probability of success
Worked example
With number of trials = 100, probability of success = 0.3, the calculator gives mean (expected successes) ≈ 30; standard deviation ≈ 4.582576.
Frequently asked questions
What is the binomial mean and standard deviation calculator used for?
Find the expected number of successes and its spread for a fixed number of independent trials. It helps with questions such as “binomial mean”, “binomial standard deviation”, “expected successes out of n”.
What is the formula for the binomial mean and standard deviation calculation?
Mean (expected successes) = n × p. Standard deviation = √(n × p × (1-p)). Here n is number of trials, p is probability of success.
What inputs do I need for the binomial mean and standard deviation calculator?
You need number of trials, probability of success. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the binomial mean and standard deviation calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the binomial mean and standard deviation result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.