Component Activity What Student Does Generalization/ Fluency Use the mean and standard Students will enter a data set Decides if data set is Have students complete data deviation of a data set to fit it (e.g., average high and low appropriate for distribution analysis across different data to a normal distribution and temperatures across a year analysis. Enters data into sets (e.g., different years, to estimate population for a specific location) into an graphing calculator (or other different locations, etc.). percentages. Recognize that appropriate graphing appropriate computer there are data sets for which calculator or computer program) to run descriptive such a procedure is not program to fit into a normal statistics and fit a normal appropriate. Use calculators, distribution. Students then distribution. Evaluates the spreadsheets, and tables to evaluate the area of normal area of normal curves. estimate areas under the curves. normal curve. Summarize categorical data Creates two way frequency Students create tables Present as many types of for two categories in two-way data tables (showing a reflecting categorical data categorical data sets as frequency tables. Interpret relationship between two with at least two types of possible, with multiple relative frequencies in the categorical variables). Have variables. Students then categories. context of the data (including students create a table analyze the data looking for joint, marginal, and analyzing students’ associations and trends. conditional relative participation in sports vs. frequencies). Recognize other extracurricular possible associations and activities, also showing men trends in the data. vs. women’s participation. Interpret relative frequencies and analyze for associations and trends.
Component Activity What Student Does Generalization/ Fluency Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. Students will enter a data set (e.g., average high and low temperatures across a year for a specific location) into an appropriate graphing calculator or computer program to fit into a normal distribution. Students then evaluate the area of normal curves. Decides if data set is appropriate for distribution analysis. Enters data into graphing calculator (or other appropriate computer program) to run descriptive statistics and fit a normal distribution. Evaluates the area of normal curves. Have students complete data analysis across different data sets (e.g., different years, different locations, etc.). Summarize categorical data for two categories in two-way frequency tables. Interpret relative frequencies in the context of the data (including joint, marginal, and conditional relative frequencies). Recognize possible associations and trends in the data. Creates two way frequency data tables (showing a relationship between two categorical variables). Have students create a table analyzing students’ participation in sports vs. other extracurricular activities, also showing men vs. women’s participation. Interpret relative frequencies and analyze for associations and trends. Students create tables reflecting categorical data with at least two types of variables. Students then analyze the data looking for associations and trends. Present as many types of categorical data sets as possible, with multiple categories.