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Introducing the Normal Distribution using Hand-span

Introducing the Normal Distribution using Hand-span
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2017-05-26 17:52
FunctionProbability & StatisticsGeometric ConstructionGraphing
In collections Resources for New A-level Maths Spec
This example demonstrates the generation of the normal distribution by collecting hand-span data from students, plotting a histogram, and fitting a normal distribution curve. Key mathematical concepts include data collection, histograms, normal distribution, mean, and standard deviation. GeoGebra commands used are RemoveUndefined, Mean, Histogram, and Textfield, with objects like A36-A18, μ, σ, g, list1, a, p. Suitable for high school mathematics or introductory statistics courses to understand data distribution and normal distribution properties.

GeoGebra Commands & Parameters

  1. RemoveUndefined({A2, A3, A4, A5, A6, A7, A8, A9, A10, A11, A12, A13, A14, A15, A16, A17, A18, A20, A21, A22, A23, A24, A25, A26, A27, A28, A29, A30, A31, A32, A33, A34, A35, A36}) → list1
  2. Mean(list1) → a
  3. RemoveUndefined({B2, B3, B4, B5, B6, B7, B8, B9, B10, B11, B12, B13, B14, B15, B16, B17, B18, B20, B21, B22, B23, B24, B25, B26, B27, B28, B29, B30, B31, B32, B33, B34, B35, B36}) → list2
  4. Histogram(list3, list1, true, 1 / Length[list1]) → c
  5. Histogram((list3 - a) / b, list2, true, 1 / Length[list2]) → f
  6. Textfield(μ) → InputBox1
  7. Textfield(σ) → InputBox2

AI Drawing Prompt Reference

Illustrate the generation of a normal distribution by collecting hand-span data from students, plot a histogram of the data, fit a normal distribution curve, and label the mean and standard deviation, displaying them next to the graph.
The prompt above was compiled from the original drawing commands and is for reference only.