Probability & Statistics Roadmap

Standards Roadmap

This section follows the four Common Core high-school Statistics & Probability strands: interpreting data, inference, conditional probability, and decision-making.

Standards Alignment

CCSS Strand	Student Outcome	Pre-Calc.com Lessons
S-ID: Interpreting Categorical and Quantitative Data	Describe distributions, compare groups, use normal models, and interpret linear models.	Statistics and Data Displays; Normal Distributions and Confidence Intervals; Linear Regression and Residuals.
S-IC: Making Inferences and Justifying Conclusions	Evaluate samples, studies, random processes, margins of error, and claims.	Sampling, Surveys, and Experiments; Normal Distributions and Confidence Intervals.
S-CP: Conditional Probability and Rules of Probability	Use sample spaces, two-way tables, conditional probability, and independence.	Two-Way Tables and Conditional Probability; Probability and Binomial Models.
S-MD: Using Probability to Make Decisions	Use random variables and expected values to evaluate decisions.	Expected Value and Decision Models.

Standard labels are a study-planning guide, not a claim of state-specific course approval. See the official CCSS high-school Statistics & Probability overview for the current source text.

Quick Standards Checks

Use each prompt to identify the right strand and next lesson.

Interpret a distribution
Evaluate a sample
Use a conditional probability
Compare expected values

Quick Standards Checks

Interpret a Distribution

Which strand fits comparing the center and spread of two data sets?

Solution Steps

Identify the task as describing quantitative data.
Match it to the interpreting-data strand.
Choose the supporting lesson.

$$\text{compare center and spread}$$$$\boxed{\text{S-ID}}$$$$\text{Study Statistics and Data Displays.}$$

Evaluate a Sample

Which strand fits deciding whether a survey sample can represent a population?

Solution Steps

Identify the task as an inference question.
Match it to the inference strand.
Choose the supporting lesson.

$$\text{sample}\to\text{population claim}$$$$\boxed{\text{S-IC}}$$$$\text{Study Sampling, Surveys, and Experiments.}$$

Use a Conditional Probability

Which strand fits finding $P(A\mid B)$ from a table?

Solution Steps

Identify the probability condition.
Match it to the conditional-probability strand.
Choose the supporting lesson.

$$P(A\mid B)$$$$\boxed{\text{S-CP}}$$$$\text{Study Two-Way Tables and Conditional Probability.}$$

Compare Expected Values

Which strand fits comparing two games by their long-run average payout?

Solution Steps

Identify the long-run average as expected value.
Match it to probability-based decision-making.
Choose the supporting lesson.

$$\text{long-run average payout}$$$$\boxed{\text{S-MD}}$$$$\text{Study Expected Value and Decision Models.}$$