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High School Probability and Statistics Honors

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Suggested Prerequisites

Algebra 2

Description

Dive into the fascinating world of data exploration and analysis! In this course, you’ll learn how to design and execute studies, uncover hidden patterns through probability and simulation, and make informed decisions using statistical inference. Whether predicting manufacturing errors or analyzing real-world trends, this course equips you with the tools to unravel the mysteries of data.

Module One: Exploring Data

-Classifying categorical and quantitative variables

-Describing data distributions

-Displaying data for analysis

-Measuring position


Module Two: Collecting Data

-Describing sampling techniques

-Determining randomness and bias

-Understanding surveys and data collection

-Designing experiments

-Determining correlation versus causation

-Controlling variables and minimizing bias


Module Three: Probability

-Outcomes for chance occurrences using probability rules

-Decide which probability formula/rule to apply

-Calculate conditional probabilities

-Determine if events are independent

-Performing simulations

-Apply addition and multiplication rules

-Determine if events are mutually exclusive

Module Four: Probability Distributions

-Discrete versus continuous probability distributions

-Conditions for binomial and geometric random variables

-Probabilities for binomial and geometric random variables

-Mean and standard deviation for binomial random variables

-Mean or expected value for geometric random variables

-Interpret percentiles in context

-Z-scores to compare data points and distributions

-Normal density curve and Empirical rule

-Standardize data and calculate probability

-Explain Central Limit Theorem


Module Five: Sampling Distributions

-Contrasting sampling distributions and samples for proportions

-Contrasting sampling distributions and samples for means

-Constructing and interpreting confidence intervals for proportions

-Constructing and interpreting confidence intervals for means


Module Six: Inference

-Performing hypothesis testing for one proportion

-Performing hypothesis testing for one-sample mean

-Comparing two means

-Describing scatterplots and correlation

-Calculating and interpreting least-squares regression

-Calculating and interpreting residuals and residual plots

-Determining suitability of models