anonymous
  • anonymous
So the question is saying to find the mean and the standard deviation for these numbers: 4,8,5,12,3,9,5,2. I know how to get the mean, but im completely lost with the standard deviation. could someone help me?
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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jim_thompson5910
  • jim_thompson5910
what did you get for the mean
anonymous
  • anonymous
6
jim_thompson5910
  • jim_thompson5910
your first step is to subtract the mean from every data value: 4-6 = -2 8-6 = 2 5-6 = -1 12-6 = 6 3-6 = -3 9-6 = 3 5-6 = -1 2-6 = -4

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jim_thompson5910
  • jim_thompson5910
The differences are: -2, 2, -1, 6, -3, 3, -1, -4 Square these differences to get (-2)^2 = 4 (2)^2 = 4 (-1)^2 = 1 (6)^2 = 36 (-3)^2 = 9 (3)^2 = 9 (-1)^2 = 1 (-4)^2 = 16 Then add up these squares 4+4+1+36+9+9+1+16 = 80
jim_thompson5910
  • jim_thompson5910
If you're looking for the population standard deviation, then divide by n = 8 (since there are 8 original data values) 80/8 = 10 So the population variance is 10 Take the square root of this to get the population standard deviation sqrt(10) = 3.16227766016838 So the population standard deviation is roughly 3.16227766016838
anonymous
  • anonymous
oh my goodness, this was so helpful. thank you so much!!
jim_thompson5910
  • jim_thompson5910
you're welcome, this is a pain to do by hand (esp for large sets which are more common in the real world), so calculators are very handy since most can calculate the standard deviations in one step
jim_thompson5910
  • jim_thompson5910
but it helps to know how to do it step by step like this
anonymous
  • anonymous
yeah thank you so much for working it out for me.
jim_thompson5910
  • jim_thompson5910
sure thing

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