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  1. This normal distribution calculator (also a bell curve calculator) calculates the area under a bell curve and establishes the probability of a value being higher or lower than any arbitrary value X.

    • Probability

      Let's take a look at an example with multi-colored balls. We...

  2. Normal distribution calculator. Enter mean, standard deviation and cutoff points and this calculator will find the area under standard normal curve. The calculator will generate a step by step explanation along with the graphic representation of the probability you want to find.

    • How to Use The Normal Distribution Calculator
    • What Is A Normal Distribution?
    • Normal Distribution Formula
    • Why Is The Standard Normal Distribution Useful?

    This calculator has three modes of operation: as a normal CDF calculator, as a probability to Z score calculator, and as an inverse normal distribution calculator. The first is useful in calculating the probability corresponding to the area under a normal curve below or above a given normal score (raw score). For example, one may want to compute a ...

    The normal distribution is a continuous probability distribution for a real-valued random variable (X). It is symmetrical around the mean and its mean is also its median and mode. Due to its shape, it is sometimes referred to as "the Bell Curve", but there are other distributions which result in bell-shaped curves, so this may be misleading. It is ...

    There are three key equations useful in dealing with normally distributed random variables - the probability density function (PDF) of the normal distribution, the cumulative distribution function (CDF), and its inverse (IDF). The first is useful in arriving at the second, which in turn is used when computing a p-value from a z-score. The third one...

    The standard normal distribution (μ = 0, σ = 1) sees a lot of use in the sciences and in statistical analyses performed as part of business experiments or observational analyses. Its utility is in providing standardized scoresthrough which statistical discrepancies can be described in a unified and easy to communicate way. Two standard deviations a...

  3. The Normal Distribution Calculator makes it easy to compute cumulative probability, given a standard score from a standard normal distribution or a raw score from any other normal distribution; and vice versa.

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  4. Normal Distribution Formula. In the world of Normal Distribution, our secret code looks like this: f (x) = (1 / (σ * ())) * e^ (- (x - μ)^2 / (^2)) Where: f (x) is the probability density function. σ (sigma) is the standard deviation. μ (mu) is the mean. e is Euler’s number.

  5. normal distribution calculator. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals.

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  7. Normal Distribution Calculator. Enter the raw score, mean, and standard deviation to find the probability of getting a number above or below that score using the normal distribution calculator below.

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