Mathematics · Grade 10
Sampling Distributions
Learners treat a sample statistic as a random variable. Starting from a sampling simulation, they describe sampling variability, find the mean and standard deviation of the sampling distributions of a sample proportion and a sample mean, check when a normal model is appropriate, meet the Central Limit Theorem, and distinguish bias from variability in estimators.
- 4 lessons
- About 140 minutes
- Sampling distributions check: 10 questions
- Ways to answer: choose an answer, match pairs, type a number, sort into groups, true or false and write a short answer
What learners will discover
- Explain sampling variability and interpret a sampling distribution of a statistic.
- Describe the sampling distribution of a sample proportion: center, spread and conditions for a normal model.
- Describe the sampling distribution of a sample mean, including the Central Limit Theorem.
- Distinguish bias from variability of an estimator and explain the effect of sample size.
Lessons
-
Statistics vary from sample to sample 5 steps2 practiceabout 32 min
-
The sampling distribution of a sample proportion 5 steps3 practiceabout 36 min
-
The sampling distribution of a sample mean 5 steps3 practiceabout 36 min
-
Bias and variability 5 steps3 practiceabout 36 min
-
Sampling distributions check 10 questions at the end
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