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Sampling Distribution Demo

Sampling Distribution Demo
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2013-03-01 11:28
Probability & StatisticsSlider AnimationGraphing
In collections Statistics Demonstrations Statistics Demonstrations Statistics Demonstrations Probability & Statistics
This example demonstrates the comparison between a population distribution and sampling distributions of different sizes. It involves core math concepts like sampling distribution, sample mean, sample standard deviation, and frequency distribution. Constructed using GeoGebra commands Sequence, Random, Textfield, Mean, Histogram, SD, RandomElement to build populations and sampling distributions, with a slider to control sample size and display sample means and standard deviations. Suitable for high school and above mathematics education, particularly in probability & statistics and data analysis入门.

GeoGebra Commands & Parameters

  1. Sequence(RandomUniform[1, 10], k, 1, population) → list1
  2. Sequence(Sequence[Random[1, 400], i, 1, 121], j, 1, 100) → matrix1
  3. Random(1, 400) → a
  4. Random(1, 400) → b
  5. Textfield(population) → inputBox1
  6. Mean(list1) → e
  7. Sequence(Mean[Sequence[Element[list1, Element[matrix1, i, j]], j, h, samplesize + h - 1]], i, 1, 100) → list2
  8. Sequence(0.2 * k + 0.6, k, 1, 50) → list3
  9. Histogram(list3, list2, true) → d
  10. Mean(Sequence[Mean[Sequence[Element[list1, Element[matrix1, i, j]], j, h, samplesize + h - 1]], i, 1, 100]) → samplingmean
  11. SD(list2) → sdsamp
  12. SD(list1) → sdpop
  13. Histogram(list3, list1, true) → c
  14. Textfield(samplesize) → inputBox2
  15. RandomElement({1, 2, 3}) → g
  16. Sequence(5 * h, h, 1, 3) → list4

AI Drawing Prompt Reference

Compare the population distribution with sampling distributions of different sizes, featuring a slider to control sample size and display sample means and standard deviations. First, plot the population distribution as a histogram, then generate multiple samples from it, calculate the mean for each sample, and plot the sampling distribution histograms. Update the sampling distributions and statistics display as the slider adjusts the sample size.
The prompt above was compiled from the original drawing commands and is for reference only.