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Are there multiple normal distributions?
In probability theory and statistics, the multivariate normal distribution, multivariate Gaussian distribution, or joint normal distribution is a generalization of the one-dimensional (univariate) normal distribution to higher dimensions.
What kind of distribution is the normal curve?
continuous probability distribution
The normal distribution is a continuous probability distribution that is symmetrical on both sides of the mean, so the right side of the center is a mirror image of the left side. The area under the normal distribution curve represents probability and the total area under the curve sums to one.
What are the features of a normal distribution?
Normal distributions have the following features: 1 symmetric bell shape 2 mean and median are equal; both located at the center of the distribution 3 of the data falls within standard deviation of the mean 4 of the data falls within standard deviations of the mean 5 of the data falls within standard deviations of the mean More
What is the mean and standard deviation of the normal distribution?
The standard normal distribution is completely defined by its mean, µ = 0, and standard deviation, σ = 1. The total area under the standard normal distribution curve equals 1. The x-axis is a horizontal asymptote for the standard normal distribution curve.
What is the empirical rule of the normal distribution?
One amazing fact about any normal distribution is called the 68-95-99.7 Rule, or more concisely, the empirical rule. This rule states that: Roughly 68% of all data observations fall within one standard deviation on either side of the mean. Thus, there is a 68% chance of a variable having a value within one standard deviation of the mean
How are data sets converted to normal distribution?
Using the z-transformation, any data set that is normally distributed can be converted to the same standard normal distribution by the conversion: where X is the normally distributed random variable, and Z is a random variable following the standard normal distribution.