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Unit: Modeling data distributions

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Possible mastery points

Percentiles

Learn
Calculating percentile
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Analyzing a cumulative relative frequency graph
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Cumulative relative frequency graph problem
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Practice
Calculating percentilesGet 3 of 4 questions to level up!

Z-scores

Learn
Normal distribution problem: z-scores (from ck12.org)
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Comparing with z-scores
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Z-scores review
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Practice
Calculating z-scoresGet 3 of 4 questions to level up!

Effects of linear transformations

Learn
How parameters change as data is shifted and scaled
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Transforming data problem
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Practice
Transforming dataGet 3 of 4 questions to level up!

Density curves

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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!

Quiz 1

Level up on the above skills and collect up to 500 Mastery points

Normal distributions and the empirical rule

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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 distribution and the empirical rule (from ck12.org)
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More empirical rule and z-score practice (from ck12.org)
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Normal distributions review
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Practice
Empirical ruleGet 3 of 4 questions to level up!

Normal distribution calculations

Learn
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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Finding z-score for a percentile
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Threshold for low percentile
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Basic normal calculations
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Practice
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!
Normal calculations in reverseGet 3 of 4 questions to level up!

Quiz 2

Level up on the above skills and collect up to 400 Mastery points

More on normal distributions

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Deep definition of the normal distribution
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Normal distribution excel exercise
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Unit test

Level up on all the skills in this unit and collect up to 900 Mastery points!

About this unit

This unit takes our understanding of distributions to the next level. We'll measure the position of data within a distribution using percentiles and z-scores, we'll learn what happens when we transform data, we'll study how to model distributions with density curves, and we'll look at one of the most important families of distributions called Normal distributions.