Statistics- Mean & Standard Deviation


label Statistics
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Find a population data set that contains six entries, has a mean of 5, and has a standard deviation of 2. 

Oct 3rd, 2015

Thank you for the opportunity to help you with your question!

The data set

2, 3, 5, 6, 6, 8

   x   x-m  (x-m)²
   2   -3     9
   3   -2     4
   5    0     0
   6    1     1
   6    1     1
   8    3     9
6)30       6)24
   5          4

so m = 5, and s = 4

There are many possibilities.

Some other answers are listed below
 

data set: 1, 4, 6, 6, 6, 7

data set: 1, 5, 5, 5, 7, 7

data set: 2, 3, 5, 6, 6, 8 (the one above)

data set: 2, 4, 4, 5, 7, 8

data set: 3, 3, 3, 7, 7, 7

data set: 3, 3, 5, 5, 5, 9

data set: 3, 4, 4, 4, 6, 9

Please let me know if you need any clarification. I'm always happy to answer your questions.
Sep 21st, 2015

Thank you so much!!!

Sep 21st, 2015

You are always welcome dear

Sep 21st, 2015

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Oct 3rd, 2015
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Oct 3rd, 2015
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