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:
-2
2
0
0
0
-2
-1.6
-1.2
-0.8
-0.4
0
0.4
0.8
1.2
1.6
2
Standard Deviation σ:
0.5
1.5
0
0
1
0.5
0.6
0.7
0.8
0.9
1
1.1
1.2
1.3
1.4
1.5
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Mean μ:
Standard Deviation σ:
Type of Probability:
Lower tail: P(X < x)
Lower tail: 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
Lower Tail
Probability in lower tail (in %):
Central Probability (in %):
Probability in upper tail (in %):
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