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· It is continuous.

· It is symmetrical distribution about its mean.

· It is asymptotic to the horizontal axis.

· It is unimodal.

· It is a family of the curve.

· Area under the curve is 1.

· All mean, median and mode lie at the same position.

The standard distribution is symmetrical. Each half of the distribution is a mirror image of the other half. Many normal distribution tables contain probability values for only one side of the distribution because probability values for the other side of the distribution are identical because of symmetry.

In theory, the normal distribution is asymptotic to the horizontal axis. That is, it does not touch the x axis, and it goes forever in each direction. The reality is that most applications of the normal curve are experiments that have finite limits potential outcomes.