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👆 Unit 1 - Exploring One-Variable Data
✌️ Unit 2 - Exploring Two-Variable Data
🔎 Unit 3 - Collecting Data
🎲 Unit 4 - Probability, Random Variables, and Probability Distributions
📊 Unit 5 - Sampling Distributions
⚖️ Unit 6 - Inference for Categorical Data: Proportions
😼 Unit 7 - Inference for Qualitative Data: Means
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📈 Unit 9 - Inference for Quantitative Data: Slopes
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Best Quizlet Decks for AP Statistics
- Unit 1 Key Terms (15-23%): Exploring One-Variable Data
- Unit 2 Key Terms (5-7%): Exploring Two-Variable Data
- Unit 3 Key Terms (12-15%): Collecting Data
- Unit 4 Key Terms (10-20%): Probability, Random Variables, and Probability Distributions
- Unit 5 Key Terms (7-12%): Sampling Distributions
- Unit 6 Key Terms (12-15%): Inference for Categorical Data: Proportions
- Unit 7 Key Terms (10-18%): Inference for Quantitative Data: Means
- Unit 8 Key Terms (2-5%): Inference for Categorical Data: Chi-Squared
- Unit 9 Key Terms (2-5%): Inference for Quantitative Data: Slopes
- Closing Thoughts
5.0 Unit 5 Overview: Sampling Distributions
#exploringdata
#sampling
#anticipatingpatterns
⏱️ 2 min read
written by
harrison burnside
June 4, 2020
What Is A Sampling Distribution?
A sampling distribution is a distribution where we take ALL possible samples of a given size and put them together as a data set.
For example, let's say we are looking at average number of snap peas taken from a field. If we take all possible samples of size 30 and average those together, we would get a REALLY good picture of what the population average was (which is likely hard to actually calculate). Sampling distributions are important because they lead the way to statistical inference.
image courtesy of: pixabay.com
Sampling Distribution for Proportions
For a sampling distribution for proportions, we take the average of all of our possible samples and apply that as the center (mean) of our distribution. Our standard deviation is found using a formula given on the reference page. Once you have those two things, you are well on your way to calculating probabilities for our population proportion.
Sampling Distribution for Means
When dealing with means, our center is the average of all of our sample means. In other words, it's the average of the averages. Our standard deviation is found by dividing our population standard deviation by the square root of our sample size. As our sample size increases, our standard deviation decreases, which plays a huge part in why a large sample size is necessary in performing experiments with quantitative variables.
Sampling Distributions for the Differences in Means and Proportions
The last type of sampling distribution we encounter is when we are seeing if there is a difference in two populations. In this type of sampling distribution, our center is the difference in our two samples (which is presumably 0 if the two populations are not different). This plays a huge part in statistical inference when checking if two populations are in fact different, which is essential in experimental studies.
🎥Watch: AP Stats - Sampling Distributions for Means
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