S.ID.2 Use statistics Ability to interpret measures of center S.ID.1 compared data displays for one set of appropriate to the shape of the and spread (variability) as they relate univariate data. S.ID.2 compares multiples sets of data distribution to compare to several data sets bivariate data. center (median, mean) and Ability to identify shapes of spread (interquartile range, distributions (skewed left or right, bell, standard deviation) of two or uniform, symmetric) more different data sets. Ability to recognize appropriateness of (additional) mean/standard deviation; versus the 5 number summary S.ID.3 Interpret differences in Ability to recognize gaps, clusters, To determine whether an observation is an shape, center, and spread in and trends in the data set outlier: the context of the data sets, Find the Interquartile range (IQR) = Ability to recognize extreme data accounting for possible effects Multiply points (outliers) and their impact on of extreme data points Outliers are points that are either: center (outliers). (additional) above Ability to effectively communicate below what the data reveals Knowledge that when comparing distributions there must be common scales and units
S.ID.2 Use statistics appropriate to the shape of the data distribution to compare center (median, mean) and spread (interquartile range, standard deviation) of two or more different data sets. (additional) Ability to interpret measures of center and spread (variability) as they relate to several data sets Ability to identify shapes of distributions (skewed left or right, bell, uniform, symmetric) Ability to recognize appropriateness of mean/standard deviation; versus the 5 number summary S.ID.1 compared data displays for one set of univariate data. S.ID.2 compares multiples sets of bivariate data. S.ID.3 Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). (additional) Ability to recognize gaps, clusters, and trends in the data set Ability to recognize extreme data points (outliers) and their impact on center Ability to effectively communicate what the data reveals Knowledge that when comparing distributions there must be common scales and units To determine whether an observation is an outlier: Find the Interquartile range (IQR) = Multiply Outliers are points that are either: above below