Data and Standard Deviation- Open Middle Problem

Directions: Using the numbers 1 to 9, using each only once, create a data set of 5 numbers that fit the following criteria:

Mean = 5

Standard Deviation = 2.6

___ , ___ , ___ , ___ , ___

 

  1. Create a data set with the same mean but a smaller standard deviation
  2. Create a data set with the same mean but a larger standard deviation
  3. Explain why your standard deviation changes but your mean remains the same
  4. Explain what changes would happen if this is a sample of the population
  5. What would happen to your mean and standard deviation if you added 20 to each of your initial data points?
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