Data Analysis, Statistics, and Probability

7.DSP.1Investigate concepts of random sampling.7.DSP.1aUnderstand that a sample is a subset of a population and both possess the same characteristics.7.DSP.1bDifferentiate between random and non-random sampling.7.DSP.1cUnderstand that generalizations from a sample are valid only if the sample is representative of the population.7.DSP.1dUnderstand that random sampling is used to gather a representative sample and supports valid inferences about the population.7.DSP.2Draw inferences about a population by collecting multiple random samples of the same size to investigate variability in estimates of the characteristic of interest.7.DSP.3Visually compare the centers, spreads, and overlap of two displays of data (i.e., dot plots, histograms, box plots) that are graphed on the same scale and draw inferences about this data.7.DSP.4Compare the numerical measures of center (mean, median, mode) and variability (range, interquartile range, mean absolute deviation) from two random samples to draw inferences about the populations.7.DSP.5Investigate the concept of probability of chance events.7.DSP.5aDetermine probabilities of simple events.7.DSP.5bUnderstand that probability measures likelihood of a chance event occurring.7.DSP.5cUnderstand that the probability of a chance event is a number between 0 and 1.7.DSP.5dUnderstand that a probability closer to 1 indicates a likely chance event.7.DSP.5eUnderstand that a probability close to 1/2 indicates that a chance event is neither likely nor unlikely.7.DSP.5fUnderstand that a probability closer to 0 indicates an unlikely chance event.7.DSP.6Investigate the relationship between theoretical and experimental probabilities for simple events.7.DSP.6aDetermine approximate outcomes using theoretical probability.7.DSP.6bPerform experiments that model theoretical probability.7.DSP.6cCompare theoretical and experimental probabilities.7.DSP.7Apply the concepts of theoretical and experimental probabilities for simple events.7.DSP.7aDifferentiate between uniform and non-uniform probability models (distributions).7.DSP.7bDevelop both uniform and non-uniform probability models.7.DSP.7cPerform experiments to test the validity of probability models.7.DSP.8Extend the concepts of simple events to investigate compound events.7.DSP.8aUnderstand that the probability of a compound event is between 0 and 1.7.DSP.8bIdentify the outcomes in a sample space using organized lists, tables, and tree diagrams.7.DSP.8cDetermine probabilities of compound events using organized lists, tables, and tree diagrams.7.DSP.8dDesign and use simulations to collect data and determine probabilities.7.DSP.8eCompare theoretical and experimental probabilities for compound events.
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