Download Probability and Statistics Objectives

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)