The Normal Distribution
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The normal distribution is a bell-shaped distribution. Its location and spread are determined by the two parameters
μ
(the mean) and
σ
(the standard deviation).
Explore how the location and shape of the normal distribution depends on these two parameters by using the sliders below.
Mean μ:
Standard Deviation σ:
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Mean μ:
Standard Deviation σ:
Type of Probability:
Lower tail: P(X < x)
Upper tail: P(X > x)
Interval: P(a < X < b)
Two-tailed: P(|X| > x)
Value of x:
Value of a:
Value of b:
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Mean μ:
Standard Deviation σ:
Type of Percentile:
Lower Tail
Upper Tail
Two-tailed
Probability in lower tail (in %):
Central Probability (in %):
Probability in upper tail (in %):
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