The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is used to standardize scores from different normal distributions for comparison.
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The total area under the curve of a standard normal distribution is equal to 1.
Approximately 68% of the data falls within one standard deviation from the mean, 95% within two, and 99.7% within three.
Z-scores represent the number of standard deviations a data point is from the mean in a standard normal distribution.
The probability density function (PDF) of the standard normal distribution is given by $f(x) = \frac{1}{\sqrt{2\pi}} e^{-\frac{x^2}{2}}$.
Standardizing a variable involves converting it into z-scores using the formula $z = \frac{x - \mu}{\sigma}$.
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Related terms
Normal Distribution: A type of continuous probability distribution for a real-valued random variable, characterized by its bell-shaped curve.