Courses

Status

Open

Estimated Completion Time

36 Weeks

Overview

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.

Course Requirements

Required Materials:

Graphing Calculator

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

Credits 1

Competency Group Overview

Meets mathematics graduation requirement.

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.

Pre-Requisites

Algebra 1

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Probability and Statistics