Estatística
Normal Distribution Calculator
Easily calculate normal distribution probabilities and percentiles online. Visualize the distribution and understand probability with this interactive tool.
Input Parameters
Result
Calculated Result:
P(X < > between and ) =
Percentile for P(X < x) = is:
Enter parameters and calculate to see the result.
Visualization
Understanding Normal Distribution
The normal distribution, also known as the Gaussian distribution or bell curve, is a continuous probability distribution that is symmetric about the mean. It shows that data near the mean are more frequent in occurrence than data far from the mean.
- Mean (\( \mu \)): The average value of the distribution. It determines the center of the bell curve.
- Standard Deviation (\( \sigma \)): A measure of the spread or dispersion of the distribution. A larger standard deviation means a wider curve.
- Probability: The likelihood of a random variable falling within a certain range.
- Percentile: The value below which a given percentage of observations in a group of observations falls. For example, the 90th percentile is the value below which 90% of the observations may be found.
This calculator helps you find probabilities for different ranges under a normal distribution curve and also calculate percentile values. Use it to explore and understand normal distribution concepts.
Learn more about normal distribution on Wikipedia.