Data Analysis
Virginia SOL AFDA.DA.4
Describe and apply the properties of normal distribution, including those in contextual situations.
What students need to be able to do
- Identify and describe the properties of a normal distribution.
- Determine when the normal distribution is a reasonable representation of the data.
- Describe how the mean and the standard deviation affect the graph of the normal distribution.
- Calculate and interpret the z-score for a data point, given the mean and the standard deviation.
- Compare two sets of normally distributed data using a standard normal distribution and z-scores, given the mean and the standard deviation.
- Represent probability as the area under the curve of a standard normal distribution.
- Determine probabilities associated with areas under the standard normal curve, using technology or a table of Standard Normal Probabilities.
- Investigate, represent, and determine relationships between a normally distributed data set and its descriptive statistics.