Indiana- Mathematics: Probability and Statistics

Academic Standards    Adopted: 2000

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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

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.