The Standard Normal Distribution has mean equal to
0
The Standard Normal Distribution is a special case of the normal distribution that has a mean equal to 0 and a standard deviation equal to 1.
Any normal distribution with mean μ and standard deviation σ can be converted into the standard normal distribution using the z-score transformation, z = (x − μ)/σ, which recenters the data around zero and rescales it to a standard deviation of 1.
This standardization allows different normal distributions to be compared on a common scale, and it is the reason the standard normal curve is perfectly symmetric about zero, with equal area on either side.
Hence, the mean of the standard normal distribution is 0, not 1, 2, or 1/2.
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