Curriculum placement
Algebra 2. This describes the skill, not a learner estimate.
A margin of error from simulated samples
Estimate population means or proportions and simulate sampling margins of error
Problem types
- Sample size and uncertainty
Builds on
- Checking a chance model by simulation
- Margin of error and what a sample supports
- The normal distribution · Earlier idea
Sample means vary in a roughly normal pattern, so the normal rule gives the margin of error for a sample size.
- Mean of a data set · Useful idea
The mean of a sample estimates the mean of the population, and the margin of error says how far it may be.
Leads to
- Reading a statistical report critically · See it applied
Checking whether a reported margin of error fits the sample size is part of critiquing a statistical report.
- A distribution built from frequencies · Extend the idea
Repeating a sample many times builds an empirical distribution of sample estimates, whose spread is the margin of error.
Related skills
- Defining a random variable · Related idea
A sample mean varies from sample to sample, so it is a random variable with its own distribution.
- Choosing units and a sensible precision · Related idea
A measurement has an error bound, as a sample estimate has a margin of error, and each says how far the true value may be.
- Checking a model against evidence · Shared foundations
- Testing a difference by randomization · Shared foundations
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