High School

# Probability and Statistics

1.0 Credit
36 Weeks
Open

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.

### 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.

### 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