A2.ST.1

The student will apply the data cycle (formulate questions; collect or acquire data; organize and represent data; and analyze data and communicate results) with a focus on univariate quantitative data represented by a smooth curve, including a normal curve.

A2.ST.1.aFormulate investigative questions that require the collection or acquisition of a large set of univariate quantitative data or summary statistics of a large set of univariate quantitative data and investigate questions using a data cycle.A2.ST.1.bCollect or acquire univariate data through research, or using surveys, observations, scientific experiments, polls, or questionnaires.A2.ST.1.cExamine the shape of a data set (skewed versus symmetric) that can be represented by a histogram, and sketch a smooth curve to model the distribution.A2.ST.1.dIdentify the properties of a normal distribution.A2.ST.1.eDescribe and interpret a data distribution represented by a smooth curve by analyzing measures of center, measures of spread, and shape of the curve.A2.ST.1.fCalculate and interpret the 𝑧-score for a value in a data set.A2.ST.1.gCompare two data points from two different distributions using 𝑧-scores.A2.ST.1.hDetermine the solution to problems involving the relationship of the mean, standard deviation, and 𝑧-score of a data set represented by a smooth or normal curve.A2.ST.1.iApply the Empirical Rule to answer investigative questions.A2.ST.1.jCompare multiple data distributions using measures of center, measures of spread, and shape of the distributions.
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