MATH-402In Development

Data, Probability & Statistics

Probability and Statistical Reasoning

Use probability, sampling, distributions, and statistical comparisons to make careful evidence-based conclusions.

Level
Level 3 — Intermediate
Learning time
10 hours
Format
Standard Course
Modules
8

Course structure

A clear outline before lessons begin.

This course is published as a development map. Full lessons, practice, and assessments will be added after content review.

Prerequisites

Complete these courses before beginning when they are available.

Recommended preparation

These courses strengthen preparation but are not strict prerequisites.

Learning outcomes

By the end, learners will be able to…

  • Calculate and interpret basic, compound, and conditional probability.
  • Describe distributions using center, spread, shape, and unusual values.
  • Evaluate sampling methods and common sources of bias.
  • Distinguish correlation from causation and identify limits on a claim.
  • Communicate uncertainty and evidence appropriately.

Module outline preview

8 planned modules

Estimated times add up to the course’s planned learning time. Every module is in development.

  1. 01

    Data and Chance Review

    Connect data questions with probability models and random variation.

    1.25 hours · In Development
  2. 02

    Basic Probability Models

    Calculate probabilities from equally likely outcomes and data-based frequencies.

    1.25 hours · In Development
  3. 03

    Compound and Conditional Probability

    Use organized methods to analyze combined events and conditions.

    1.25 hours · In Development
  4. 04

    Sampling and Study Design

    Evaluate populations, samples, random selection, and bias.

    1.25 hours · In Development
  5. 05

    Distributions and Variability

    Describe data using center, spread, shape, and outliers.

    1.25 hours · In Development
  6. 06

    Estimating from Samples

    Use sampling variation to reason about uncertainty in a population claim.

    1.25 hours · In Development
  7. 07

    Relationships and Causal Claims

    Interpret association carefully and distinguish it from causation.

    1.25 hours · In Development
  8. 08

    Statistical Reasoning Review

    Evaluate a short claim using probability, data quality, and stated limitations.

    1.25 hours · In Development

Course status

Course coming soon

This course is not yet open for enrollment and does not include lessons, practice, assessments, or formal credit. You can review the outline while it is developed.

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Recommended learning paths

A clear sequence, not a random list.

These paths show a recommended order. Branches identify connected study that can follow once prerequisites are complete.