Finer grained standards that are part of this one
A normal distribution curve is a symmetrical, bell-shaped curve defined by the mean and the standard deviation of a data set. The mean is located on the line of symmetry of the curve.
Areas under the curve represent probabilities associated with continuous distributions.
The normal curve is a probability distribution and the total area under the curve is 1.
For a normal distribution, approximately 68 percent of the data fall within one standard deviation of the mean, approximately 95 percent of the data fall within two standard deviations of the mean, and approximately 99.7 percent of the data fall within three standard deviations of the mean.
The mean of the data in a standard normal distribution is 0 and the standard deviation is 1.
Identify the properties of a normal probability distribution.
Describe how the standard deviation and the mean affect the graph of the normal distribution.
Compare two sets of normally distributed data using a standard normal distribution and z-scores.
Represent probability as area under the curve of a standard normal probability distribution.
Use the graphing calculator or a standard normal probability table to determine probabilities or percentiles based on z-scores.