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High School
Probability and Statistics
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Probability and Statistics will introduce students to exploring data, sampling and experimentation by planning and conducting studies, anticipating patterns using probability and simulation, and employing statistical inference to analyze data and draw conclusions.
Major Topics and Concepts
Segment I Concepts
Module 01: Exploring DataIntroduction to Statistics
- Measures of Central Tendency
- Measures of Variation
- Displaying Data
Module 02: Collecting Data
- Sampling and Surveys
- Experiments
- Correlation Versus Causation
Module 03: Probability
- Basic Concepts of Probability
- Condition Probability and Two-Way Tables
- The Multiplication and Addition Rule
- Simulations
Segment II Concepts
Module 04: Probability Distributions
- Random Variables
- Binomial Probability Distribution
- Geometric Probability Distribution
- Introduction to Normal Probability Distribution
Module 05: Sampling Distribution
- Sampling Distributions and Proportions
- Sample Means
- Confidence Intervals for Proportions
- Confidence Intervals for Means
Module 06: Inference
- Hypothesis Testing- One Proportion
- Hypothesis Testing- One-Sample Mean
- Comparing Two Means
- Scatterplots and Correlation
- Least-Squares Regression
Course Materials
Required Materials:
- Graphing Calculator
Competencies
Data Collection for Statistical Analysis
Students will demonstrate an understanding of data collection and analysis by explaining the gathering of sampling data, explaining how to conduct a survey, describing how to conduct experiments, and differentiating correlation and causation.
Probability
Students will demonstrate an understanding of probability by explaining concepts of probability, formulating how to compute probabilities, and evaluating probability simulations.
Statistical Exploration of Data
Students will demonstrate an understanding of statistical exploration of data by explaining measures of central tendency, explaining measures of variation, and analyzing displays of statistical data.
Probability Distributions
Students will demonstrate an understanding of probability distributions by explaining binomial probability distribution, geometric probability distribution, and normal probability distributions.
Sampling Distributions
Students will demonstrate an understanding of sampling distributions by explaining statistical sampling, describing calculating sample means, and evaluating confidence intervals.
Making Statistical Inferences
Students will demonstrate an understanding of statistical inferences by explaining the development and testing of hypotheses, describing how to interpret scatterplots, and summarizing least-squares regression.
