A normal distribution comes with a perfectly symmetrical shape. This means the curve can be divided into two equal halves.
The middle point of a normal distribution is the point with the maximum frequency, which means that it possesses the most observations of the variable. The midpoints of the distribution curve happens to be the point where the mean, median, and mode lie.
The normal distribution is usually unimodal, and asymptotic. Unimodal distribution is a probability distribution which has a single peak. A probability distribution that is the "limiting" distribution of a set of distributions is known as an asymptotic distribution.
Skewness and kurtosis are coefficients that measure how different a distribution is from a normal distribution. Skewness measures the symmetry of a normal distribution while kurtosis measures the thickness of the tail ends relative to the tails of a normal distribution