Normal Distribution

Characteristics of a normal distribution

A normal distribution curve is bell-shaped and symmetric about its centre.

The highest point on a normal distribution curve is at the mean μ.

The mean, median, and mode of a normal distribution are all equal and located at the centre of the distribution.

The standard deviation ∑ determines the spread or width of the bell shape.

Approximately 68% of data falls within one standard deviation (μ - ∑ to μ + ∑) from the mean.

Approximately 95% of data falls within two standard deviations (μ - 2∑ to μ + 2∑) from the mean.