Understanding the Understatement

AP C. 1 is identifying the properties of the Normal distribution.

A data can be distributed or spread out in different ways, but a normal distribution is when the shape of the distribution is bell-shape. The normal distribution has a mean, median, and mode that is located in the middle of the x-axis. It has a symmetry about the center which is 50% of the distribution is less than the mean and 50% is more than the mean. For a standard normal distribution, the distribution has been standardized using z-score. The standardized z-scores will have the same shape of the original distribution. A normal model, N(μ,σ), with mean μ = 0 and standard deviation σ= 1.  The area under the normal curve or distribution will always equal one. The points of inflection will be one standard deviation from the mean. The distribution has to have a curve that is asymptotic to the x-axis. In example:The mean and standard deviation of a normally distributed dataset are 20 and 5. 20 is added from every term in the dataset and then the result is divided by 4. The distribution will have a mean of 0, a standard deviation of 1 and since it is a normal distribution, it has a normal curve.