# Algebra 2, Statistics Unit

Description:

This Algebra 2 unit is a continuation of the statistics studied in Algebra 1. Students will review graphical displays, especially box plots. Students will explore the numerical methods of data collection, including calculating measures of central tendency and measures of variation. Students will learn about normal distributions and to estimate normal probabilities. Students will examine methods for surveys, experiments, and observational studies; as well as data gathering and determining statistical significance of experimental results. Sampling distributions and estimation of population values and margin of error from such distributions will be explored during this unit. Informal hypothesis testing will be done using resampling simulations. Students will evaluate current media reports that are based on data.

Learning Targets:
Find measures of central tendency (mean, median, and mode) and measures of variation (range, interquartile range, variance, standard deviation) for statistical data. Find and examine the effects of outliers on statistical data.
Use the five-number summary values of a statistical data set to construct box plots and make observations about the context. Calculate the expected value of a probability distribution for an experiment.
Describe characteristics of experimental design that will make the data from an experiment useful. Generate a random sample.
Use the characteristics of the normal distribution and the 68-95-99.7 (Empirical) Rule to solve real-world application problems.
Estimate population means and proportions, and develop margin of error from simulations involving random sampling. Use simulation and hypothesis testing to compare treatments from a randomized experiment by analyzing the results of experiments.
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