Module 4: Inferences and conclusions from data

Topic A: Lesson 1: Chance experiments, sample spaces, and events

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Intro to theoretical probability

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Simple probability: yellow marble

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Simple probability: non-blue marble

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Intuitive sense of probabilities

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Practice

Simple probabilityGet 5 of 7 questions to level up!

Comparing probabilitiesGet 5 of 7 questions to level up!

Topic A: Lessons 2-4: Two-way tables, conditional probability, and independence

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Calculating conditional probability

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Conditional probability explained visually

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Conditional probability using two-way tables

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Conditional probability and independence

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Conditional probability and independence

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Analyzing event probability for independence

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Practice

Calculating conditional probabilityGet 3 of 4 questions to level up!

Dependent and independent eventsGet 3 of 4 questions to level up!

Topic A: Lessons 5-7: Venn diagrams and probability rules

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Intersection and union of sets

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Compound probability of independent events

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Independent events example: test taking

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Coin flipping probability

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Probability with Venn diagrams

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Addition rule for probability

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Addition rule for probability (basic)

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Practice

Independent probabilityGet 3 of 4 questions to level up!

Probabilities of compound eventsGet 3 of 4 questions to level up!

Two-way tables, Venn diagrams, and probabilityGet 3 of 4 questions to level up!

Topic B: Lesson 8: Distributions—Center, shape, and spread

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Shapes of distributions

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Comparing means of distributions

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Means and medians of different distributions

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Mean and standard deviation versus median and IQR

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Population standard deviation

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Sample standard deviation and bias

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The idea of spread and standard deviation

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Practice

Shape of distributionsGet 3 of 4 questions to level up!

Calculating the meanGet 3 of 4 questions to level up!

Calculating the mean: data displaysGet 3 of 4 questions to level up!

Sample and population standard deviationGet 3 of 4 questions to level up!

Topic B: Lesson 9: Using a curve to model a data distribution

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Density Curves

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Median, mean and skew from density curves

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Density curve worked example

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Worked example finding area under density curves

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Practice

Properties of density curvesGet 3 of 4 questions to level up!

Area under density curvesGet 3 of 4 questions to level up!

Topic B: Lessons 10-11: Normal distributions

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Normal distribution problem: z-scores (from ck12.org)

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Comparing with z-scores

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Qualitative sense of normal distributions (from ck12.org)

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Normal distribution problems: Empirical rule (from ck12.org)

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Standard normal table for proportion below

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Standard normal table for proportion above

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Standard normal table for proportion between values

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Practice

Z-scores 1Get 3 of 4 questions to level up!

Empirical ruleGet 3 of 4 questions to level up!

Normal distribution: Area above or below a pointGet 3 of 4 questions to level up!

Normal distribution: Area between two pointsGet 3 of 4 questions to level up!