NY-6.SP

Statistics and Probability

NY-6.SP.1aRecognize that a statistical question is one that anticipates variability in the data related to the question and accounts for it in the answers.NY-6.SP.1bUnderstand 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.NY-6.SP.1cUnderstand that the method and sample size used to collect data for a particular question is intended to reduce the difference between a population and a sample taken from the population so valid inferences can be drawn about the population. Generate multiple samples (or simulated samples) of the same size to recognize the variation in estimates or predictions.NY-6.SP.2Understand that a set of quantitative data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape.NY-6.SP.3Recognize that a measure of center for a quantitative data set summarizes all of its values with a single number while a measure of variation describes how its values vary with a single number.NY-6.SP.4Display quantitative data in plots on a number line, including dot plots, and histograms.NY-6.SP.5Summarize quantitative data sets in relation to their context.NY-6.SP.6Understand that the probability of a chance event is a number between 0 and 1 inclusive, that expresses the likelihood of the event occurring. Larger numbers indicate greater likelihood. A probability near 0 indicates an unlikely event, a probability around ½ indicates an event that is neither unlikely nor likely, and a probability near 1 indicates a likely event.NY-6.SP.7Approximate the probability of a simple 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.NY-6.SP.8Develop a probability model and use it to find probabilities of simple events. Compare probabilities from a model to observed frequencies; if the agreement is not good, explain possible sources of the discrepancy.
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