MM.18

Construct a probability distribution based on empirical observations of a variable.

MM.18.aEstimate the probability of each value for a random variable based on empirical observations or simulations, using technology.MM.18.bRepresent a probability distribution by a relative frequency histogram and/or a cumulative relative frequency graph.MM.18.cFind the mean, standard deviation, median, and interquartile range of a probability distribution and make long-term predictions about future possibilities. Determine which measures are most appropriate based upon the shape of the distribution.
Khan Academy Resources
Conditional distributions and relationshipsInterpret expected valueDevelop probability distributions: Empirical probabilitiesProbability with discrete random variablesConditional distributionsGraph probability distributionsIdentify marginal and conditional distributionsMarginal distributionsDevelop probability distributions: Theoretical probabilitiesMean (expected value) of a discrete random variableInterpret results of simulationsValid discrete probability distribution examplesProbability with discrete random variable exampleMarginal and conditional distributionsInterpreting expected valueTheoretical probability distribution example: tablesRandom numbers for experimental probabilityConstructing a probability distribution for random variableMean (expected value) of a discrete random variableTheoretical probability distribution example: multiplicationProbability distributions from empirical dataStatistical significance of experiment
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