# Normal Distribution

• Central Limit Theorem Example - The Central Limit Theorem calculator uses population mean, standard deviation, and sample size to estimate the mean and standard error of the sampling distribution.
• Normal Distribution Probability - The normal distribution probability function calculates the probability of a specific value occurring in a normal distribution, given the mean and standard deviation.
• Probability Density Function with Normal Distribution - The probability density function (PDF) for the normal distribution describes the likelihood of a random variable taking on a certain value within a probability distribution. This calculator helps calculate the PDF for a given value in a normal distribution.
• Cumulative Distribution Function for a Standard Normal Distribution - Calculate the cumulative distribution function (CDF) for a standard normal distribution for any given z-score using this tool. It utilizes the error function for approximation.
• Z-Score (Standard Score) - Z-score, or standard score, is a statistical measure that indicates how many standard deviations a value is from the mean of its data set. It's crucial for data standardization, outlier detection, and probability calculations.