#### PS.1: Students gather and display data and use measures of central tendency and variability.

PS.1.1: Create, compare, and evaluate different graphic displays of the same data, using histograms, frequency polygons, cumulative distribution functions, pie charts, scatter plots, stem-and-leaf plots, and box-and-whisker plots. Draw these by hand or use a computer spreadsheet program.

Box-and-Whisker Plots

Correlation

Histograms

Polling: City

Populations and Samples

Trends in Scatter Plots

PS. 1.2: Compute and use mean, median, mode, weighted mean, geometric mean, harmonic mean, range, quartiles, variance, and standard deviation.

Describing Data Using Statistics

Mean, Median, and Mode

Populations and Samples

Reaction Time 1 (Graphs and Statistics)

Real-Time Histogram

Stem-and-Leaf Plots

#### PS.2: Students solve problems involving the use of probability and probability distributions.

PS.2.1: Understand the counting principle, permutations, and combinations, and use them to solve problems.

Binomial Probabilities

Permutations and Combinations

PS.2.2: Understand and use the addition rule to calculate probabilities for mutually exclusive and non-mutually exclusive events.

Binomial Probabilities

Theoretical and Experimental Probability

PS.2.3: Understand and use the multiplication rule to calculate probabilities for independent and dependent events.

Independent and Dependent Events

PS.2.5: Understand conditional probability and Bayes? Theorem and use them to solve problems.

Independent and Dependent Events

PS.2.6: Use discrete random variables and probability distributions, including the binomial and geometric distributions.

Binomial Probabilities

Geometric Probability

Polling: City

PS.2.7: Compute and interpret the mean and variance of a probability distribution.

Polling: City

PS.2.8: Use and apply the normal distribution.

Polling: City

PS.2.9: Understand the central limit theorem and use it to solve problems.

Populations and Samples

PS.2.10: Use other continuous random variables and probability distributions to solve problems.

Polling: City

#### PS.3: Students use confidence intervals and hypothesis tests, fit curves to data, and calculate correlation coefficients.

PS.3.1: Compute and use confidence intervals to make estimates.

Polling: City

PS.3.3: Use the principle of least squares to find the curve of best fit for a set of data.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

PS.3.4: Calculate and interpret the correlation coefficient of a set of data.

Correlation

Correlation last revised: 1/20/2017