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Probability and Statistics Objectives Chapter 1: The Nature of Probability and Statistics Students will use appropriate statistical terms to describe data. • Identify the types of data (qualitative, quantitative, discrete, and continuous). • Identify the types of sampling (random, stratified, systematic, cluster). • Identify the misuses of statistics. Chapter 2: Frequency Distributions and Graphs Student will use appropriate statistical methods to collect, organize, display, and analyze relevant data. • Apply graphical methods of displaying data. • Construct frequency distributions, histograms, frequency polygons, pareto charts, ogives, pie charts, and box-and-whisker plots. • Read and analyze frequency distributions, histograms, frequency polygons, pie charts, and box-and-whisker plots. Chapter 3: Data Description Students will compute fluently and make reasonable estimations. • Calculate the measures of central tendency. For a sample or population of data. For grouped data. For weighted data. For probability distributions. • Calculate the measures of variation. For a sample of data. For a population of data. For grouped data. For probability distributions. • Calculate the measures of position. Calculate percentiles. Calculate quartiles. Calculate z-scores. Chapter 4: Probability and Counting Rules Students will apply basic concepts of probability. • Calculate combinations and permutations. • Apply the rules of probability (addition, conditional, multiplication). • Apply the terms of probability (mutually exclusive, independent, and dependent) Chapter 5: Discrete Probability Distributions Students will apply concepts of various probability distributions to find probabilities. • Use probability distribution for discrete random variables (general, binomial, hypergeometric, poisson, multinomial). Construct probability distribution for discrete random variables (general, binomial, hypergeometric, poisson, multinomial). Use probability distribution for discrete random variables (general, binomial, hypergeometric, poisson, multinomial) to make predictions about the probability of certain events. Chapter 6: The Normal Distribution Students will apply concepts of the normal distribution to find probability. • Use a normal distribution. Read a normal distribution. Apply the central limit theorem. Apply Chebyshev’s Theorem. Approximate binomial distributions using a normal distribution. Use normal distribution to find probabilities for continuous random variables. Chapter 7: Confidence Intervals and Sample Size (Optional—if time allows) Students will make estimations for a mean, variance, standard deviation and proportions. • Calculate estimations For a mean (large or small samples) For a variance (large or small samples) For a standard deviation (large or small samples) For a proportion (large samples)