Statistics and Probability

7.SP.0Create displays, including circle graphs (pie charts), scaled pictographs and bar graphs, to compare and analyze distributions of categorical data from both matching and different-sized samples. (MP.2, MP.3, MP.6)7.SP.1Understand that statistics can be used to gain information about a population by examining a sample of the population; generalizations about a population from a sample are valid only if the sample is representative of that population. Understand that random sampling tends to produce representative samples and support valid inferences. (MP.3, MP.6)7.SP.2Use data from a random sample to draw inferences about a population with an unknown characteristic of interest. (MP.2, MP.3, MP.7)7.SP.3Describe the degree of visual overlap (and separation) from the graphical representations of two numerical data distributions (box plots, dot plots) with similar variabilities with similar contexts (same variable), measuring the difference between the centers (medians or means) by expressing this difference as a multiple of a measure of variability (interquartile range when comparing medians or the mean absolute deviation when comparing means). (MP.1, MP.5, MP.7)7.SP.4Calculate and use measures of center (mean and median) and measures of variability (interquartile range when comparing medians and mean absolute deviation when comparing means) for numerical data from random samples to draw informal comparative inferences about two populations. (MP.2, MP.5, MP.7)7.SP.5Describe the probability of a chance event is a number between 0 and 1, which tells how likely the event is, from impossible (0) to certain (1). A probability near 0 indicates an unlikely event, a probability around 1/2 indicates an event that is neither unlikely nor likely and a probability near 1 indicates a likely event. (MP.5, MP.6, MP.7)7.SP.6Approximate the probability of a chance event by collecting data on the chance process that produces it and observing its long-run relative frequency and predict the approximate relative frequency given the probability. (MP.1, MP.2)7.SP.7Develop a probability model and use it to find probabilities of events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy. (MP.4, MP.7, MP.8)7.SP.8Find probabilities of compound events using organized lists, tables, tree diagrams and simulation. (MP.2, MP.4, MP.7)
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