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Algebra 2 Statistics Unit 4/26 Day 1 Topic Collecting Data What’s a statistical question? Surveys, Observational Studies and Experiments The importance of randomness Describing Data Measures of Center (mean and median) Histograms and Box Plots Describing Data Measures of Spread (std. dev. and IQR) Outliers Using the graphing calculator to display distributions and find summary statistics Describing Data Simulation Review of calculator Describing Data Describing Shape Comparing distributions 4/27 2 4/28 3 5/1 4 5/2 5 5/3 6 Normal Distributions Using the 68-95-99.7 Rule 5/4 7 5/5 8 Normal Distributions Using the calculator’s normalcdf command Fitting data to a normal distribution Statistical Inference Using chance (simulation) to evaluate statistical data Voting simulation 5/8 9 5/9 5/10 10 11 Common Core Standards* S-IC-3: Recognize the purposes of and differences among surveys, experiments and observational studies; explain how randomization applies to each. S-ID-1: Represent data with plots (dot plots, histograms, box plots) S-ID-3: Interpret differences in shape, center and spread in the context of the data, accounting for possible effects of outliers S-ID-3: Interpret differences in shape, center and spread in the context of the data, accounting for possible effects of outliers S-ID-2: Use statistics appropriate to the shape of the distribution to compare center (median, mean) and spread (IQR, std. dev) of two or more data sets S-ID-4: 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. S-ID-4: Use calculators, spreadsheets, and tables to estimate areas under the normal curve. S-IC-1: Understand statistics as a process for making inferences about a population parameter S-IC-2: Decide if a specified model is consistent with results from a given datagenerating process, e.g. simulation Statistical Inference/Review In class – comparing ages of actors/actresses Select project topics Review Test *Not covered: S-IC-4: Use data from a population survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. S-IC-5: Use data from a randomized experiment to compare two treatments; use simulation to decide if differences are significant