A small standard deviation results in a narrow curve, while a large standard deviation leads to a wide curve. The standard deviation stretches or squeezes the curve. Increasing the mean moves the curve right, while decreasing it moves the curve left. The mean determines where the curve is centred. In the standard normal distribution, the mean and standard deviation are always fixed.Įvery normal distribution is a version of the standard normal distribution that’s been stretched or squeezed and moved horizontally right or left. However, a normal distribution can take on any value as its mean and standard deviation. Normal distribution vs the standard normal distributionĪll normal distributions, like the standard normal distribution, are unimodal and symmetrically distributed with a bell-shaped curve. You can calculate the standard normal distribution with our calculator below. Frequently asked questions about the standard normal distribution.Step-by-step example of using the z-distribution.Use the standard normal distribution to find probability.Normal distribution vs the standard normal distribution.Standard normal distribution calculator.
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