Math - Statistics & Probability

Unit 1

• Definition of statistics and data
• Statistical questions
• Summarizing and representing data, including with technology programs and models
• Interpreting models of data
• Definitions of mean, median, and mode
• Computation of mean, median, and mode from a data set
• Shape, center, and spread of data sets
• Extreme points in data

Unit 2

• Relative frequencies, possible associations, and trends
• Relationships between data items
• Variance and standard deviation
• Line of best fit to a given data distribution
• Mean and standard deviation to estimate population percentage
• Correlation coefficient of two variables
• Sampling distribution and population distribution
• Random sampling

Unit 3

• Evaluating random processes
• Margin of error for random sampling
• Uses of statistical data
• Making inferences from surveys, observations, and experiments
• Conditional probability
• Probabilities of compound events
• Probabilities of mutually exclusive and non-mutually exclusive events
• Probabilities for independent events

Unit 4

• Probabilities for dependent events
• Permutations and combinations
• Expected value of a random variable
• Interpreting results of probability experiments
• Odds in favor and odds against an occurrence
• Using probability to make decisions
• Using probability to solve real-world problems