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Simply Statistics
The Normal Distribution
Properties of the Normal Distribution
1. The normal curve is symmetrical about the mean μ
2. The mean is at the middle and divides the area into halves
3. The total area under the curve is equal to 1
4. It is completely determined by its mean and standard deviation σ (or variance σ2)
The Standard Normal Distribution
Central Limit Theorem
Given a sufficiently large sample size from a population with variance, the mean of all samples from the same population will be approximately equal to the mean of the population and tends toward a normal distribution.
Applications of the Normal Distribution
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