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Standard Deviation Measure of Spread

Standard Deviation Measure of Spread
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2014-09-30 10:32
Probability & Statistics
In collections Continuous Random Variables
This example illustrates the standard deviation to show the dispersion of a dataset. Key concepts include standard deviation and mean. GeoGebra commands used include Sort, Element, SampleSD, Text, and Mean. Suitable for statistics education and presentations.

GeoGebra Commands & Parameters

  1. Sort({9 * Random[1, a], 8 * Random[1, a], 5 * Random[1, a], 8 * Random[1, a], 5 * Random[1, a], 9 * Random[1, a], 8 * Random[1, a], 9 * Random[1, a], 5 * Random[1, a], 9 * Random[1, a], 8 * Random[1, a], 8 * Random[1, a], 5 * Random[1, a], 2 * Random[1, a], 5 * Random[1, a], 9 * Random[1, a], 5 * Random[1, a], 8 * Random[1, a], 6 * Random[1, a], 9 * Random[1, a], 8 * Random[1, a], 5 * Random[1, a], 9 * Random[1, a], 6 * Random[1, a], 4 * Random[1, a], 3 * Random[1, a], 2 * Random[1, a], 2 * Random[1, a], 2 * Random[1, a], 2 * Random[1, a]}) → list1
  2. Element(list1, 1) → b
  3. SampleSD(list1) → Standard
  4. Element(list1, 30) → d
  5. Text("Standard Deviation:" * c) → text1
  6. Mean(list1) → h
  7. Point(i) → A
  8. Point(i) → B
  9. Segment(A, B) → j
  10. Text("x = " * h) → text2
  11. Histogram({0, 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90}, list1, false) → g