HS.D.2

Analyze Data and Interpret Results: Students will represent and analyze the data and interpret the results.

HS.D.2.aIdentify appropriate ways to summarize and then represent the distribution of univariate data and bivariate data through the construction of histograms, dot plots, stem plots, box plots, cumulative relative frequency graphs, time plots, circle graphs, stacked bar graphs, and mosaic bar graphs by hand or with technology.HS.D.2.bDescribe the shape, identify any outliers, and determine the spread of a data set.HS.D.2.cSelect and determine the appropriate measure of center based on the shape of a distribution and/or the presence of outliers.HS.D.2.dRecognize when a data set can be reasonably said to be normally distributed and draw conclusions about the data from the associated normal distribution.HS.D.2.eSummarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data and recognize possible associations and trends in the data.HS.D.2.fRepresent data on two quantitative variables on a scatter plot and describe how the variables are related.HS.D.2.gUse technology to develop regression models for linear and non-linear data to predict unobserved outcomes. Interpret slope and y-intercept in the context of the problem.HS.D.2.hMeasure the strength of association using correlation coefficients for regression curves and interpret their meanings for the model.HS.D.2.iUse residuals and residual plots to judge the quality of a regression model.HS.D.2.jRecognize and explain when arguments based on data confuse correlation with causation.HS.D.2.kUnderstand what constitutes statistical significance. Interpret statistical significance in the context of a situation and answer investigative questions appropriately.HS.D.2.lUse probability as a tool for assessing risk and for informed decision making by interpreting P-values.
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