Data and Standard Deviation2- Open Middle Problem

So my local Probability and Statistics guru (@veganmathbeagle) sent me a problem she encountered in a textbook that was very Open Middle-ish.  I modified it a bit and here it is…

Directions: Using the numbers 1 to 9, using each only once, create a data set of 4 numbers that fit the following criteria:

The four numbers have the smallest possible standard deviation:

___ , ___ , ___ , ___

The four numbers have the largest possible standard deviation:

___ , ___ , ___ , ___

 

  1. Is there more than one data set for either question?  If so, what is it?
  2. How would allowing the use of repeat numbers effect the standard deviation?
  3. What would your data sets look like if this was allowed?

 

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3 thoughts on “Data and Standard Deviation2- Open Middle Problem

  1. Thanks Amy! If you want help “refitting” some of your problems into Open Middle problems, feel free to contact me. I’m also more than willing to help you through the process so you can create your own great materials.

    • Eu não consegui resistir e esperar a legenda em português. Mesmo com meu ingles limitado, usei a legenda nesta lingua. Muito embora muitas passagens dos diálogos tenham sido nebulosas, devo dizer: roteiro estupendo, atores fantásticos, foÃ-srafiaoedit§Ã£o-sonoplagtia primorosas, tudo é um brilhante exercício de direção. Espero que a esperiência de assistir este episódio duplo aconteça por muitas e muitas temporadas.

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