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A distribution function or a cumulative distribution function. The spread and range are also immediately apparent from a box [and whiskers] plot.
Because very many variables tend to have the Gaussian distribution. Furthermore, even if the underlying distribution is non-Gaussian, the distribution of the means of repeated samples will be Gaussian. As a result, the Gaussian distributions are also referred to as Normal.
Yes. When we refer to the normal distribution, we are referring to a probability distribution. When we specify the equation of a continuous distribution, such as the normal distribution, we refer to the equation as a probability density function.
Density is defined as the mass of something divided by the volume of the same thing. During a careful reading of the definition, it becomes apparent that density is not mass, and that density is also similarly not weight as well, either.
Also normally distributed.