### S-ID: Interpreting Categorical and Quantitative Data

#### S-ID.1: Represent data with plots on the real number line (dot plots, histograms, and box plots).

Box-and-Whisker Plots

Histograms

Mean, Median, and Mode

#### S-ID.2: Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets.

Box-and-Whisker Plots

Describing Data Using Statistics

Real-Time Histogram

Sight vs. Sound Reactions

#### S-ID.3: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers).

Mean, Median, and Mode

Reaction Time 2 (Graphs and Statistics)

#### S-ID.6: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related.

S-ID.6.a: Fit a function to the data; use functions fitted to data to solve problems in the context of the data.

Least-Squares Best Fit Lines

Solving Using Trend Lines

Zap It! Game

S-ID.6.b: Informally assess the fit of a function by plotting and analyzing residuals.

Least-Squares Best Fit Lines

S-ID.6.c: Fit a linear function for a scatter plot that suggests a linear association.

Least-Squares Best Fit Lines

#### S-ID.7: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

Cat and Mouse (Modeling with Linear Systems)

#### S-ID.8: Compute (using technology) and interpret the correlation coefficient of a linear fit.

Correlation

### S-IC: Making Inferences and Justifying Conclusions

#### S-IC.4: Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling.

Estimating Population Size

Polling: City

Polling: Neighborhood

#### S-IC.5: Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant.

Real-Time Histogram

Sight vs. Sound Reactions

### S-CP: Conditional Probability and the Rules of Probability

#### S-CP.1: Describe events as subsets of a sample space (the set of outcomes) using characteristics (or categories) of the outcomes, or as unions, intersections, or complements of other events ('or,' 'and,' 'not').

Independent and Dependent Events

Probability Simulations

Theoretical and Experimental Probability

#### S-CP.2: Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities, and use this characterization to determine if they are independent.

Independent and Dependent Events

#### S-CP.3: Understand the conditional probability of A given B as P(A and B)/P(B), and interpret independence of A and B as saying that the conditional probability of A given B is the same as the probability of A, and the conditional probability of B given A is the same as the probability of B.

Independent and Dependent Events

#### S-CP.9: Use permutations and combinations to compute probabilities of compound events and solve problems.

Binomial Probabilities

Permutations and Combinations

### S-MD: Using Probability to Make Decisions

#### S-MD.2: Calculate the expected value of a random variable; interpret it as the mean of the probability distribution.

Lucky Duck (Expected Value)

#### S-MD.3: Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value.

Independent and Dependent Events

Lucky Duck (Expected Value)

Probability Simulations

Theoretical and Experimental Probability

#### S-MD.4: Develop a probability distribution for a random variable defined for a sample space in which probabilities are assigned empirically; find the expected value.

Geometric Probability

Independent and Dependent Events

Lucky Duck (Expected Value)

Probability Simulations

Theoretical and Experimental Probability

#### S-MD.5: Weigh the possible outcomes of a decision by assigning probabilities to payoff values and finding expected values.

S-MD.5.a: Find the expected payoff for a game of chance.

Lucky Duck (Expected Value)

S-MD.5.b: Evaluate and compare strategies on the basis of expected values.

Lucky Duck (Expected Value)

#### S-MD.6: Use probabilities to make fair decisions (e.g., drawing by lots, using a random number generator).

Lucky Duck (Expected Value)

#### S-MD.7: Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, pulling a hockey goalie at the end of a game).

Lucky Duck (Expected Value)

Correlation last revised: 9/16/2020