Introduction to Statistics, Graphing, and Measures of Center
- Classify data.
- Distinguish between a sample and a population.
- Determine whether a sample is random or biased.
- Analyze a set of data with respect to characteristics such as Center, Distribution, Outliers, and Time.
- Create a frequency distribution.
Create a graphical display using technology.
- Interpret data presented in a graph.
- Calculate mean, median, and mode for ungrouped data.
Standard Deviation, Probability, and Normal Distribution
- Calculate standard deviation and variance for ungrouped data.
- Use the empirical rule to determine if a data value is usual or unusual.
Calculate probabilities using the classical and relative frequency approaches.
Calculate probabilities using the addition and multiplication rules.
- Use combinations to calculate the total number of possible events.
- Calculate a probability from a Z-score and vice versa.
Central Limit Theorem and Estimates
Identify biased and unbiased estimators.
- Use the Central Limit Theorem to calculate probabilities and z-scores.
- Calculate a probability from a t-score and vice versa.
- Calculate and interpret confidence intervals for proportions and means.
- Calculate the required sample size to estimate a population proportion and mean.
Perform the steps in hypothesis testing with one- and two-tailed z-tests.
- Perform the steps in hypothesis testing with one- and two-tailed t-tests.
Correlation and Regression
Interpret the correlation of data from a graph.
Calculate the correlation coefficient.
- Perform a hypothesis test on a correlation coefficient.
- Calculate the equation of the regression line for a set of paired data.
- Use the results of the regression line equation for predictions.
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