Almost all statistical distribution have a mean. It is the expected value of the random variable which is distributed according to that function.
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The mean of a standard normal distribution is 0.
A normal distribution can have any value for its mean and any positive value for its variance. A standard normal distribution has mean 0 and variance 1.
The standard normal distribution has mean 0 and variance 1. It is not clear what 0.62 has to do with the distribution.
The standard normal distribution is a special case normal distribution, which has a mean of zero and a standard deviation of one.
It is another name for the Gaussian distribution.