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No, the normal curve is not the meaning of the Normal distribution: it is one way of representing it.
A normal distribution simply enables you to convert your values, which are in some measurement unit, to normal deviates. Normal deviates (i.e. z-scores) allow you to use the table of normal values to compute probabilities under the normal curve.
Everything that is normal and can can be distributed easily is known as normal distribution time.
Generally, when we refer to the normal distribution, it is the standard, univariant normal distribution. We don't have a normal type 1, type 2, etc. However, there are closely related distributions, the truncated normal and the multivariant normal. A truncated multivariant normal would also be possible. See related links.
Quinta Normal's population is 104,012.