anonymous
  • anonymous
What is the standard deviation of this data to the nearest one hundredth? 10 12, 8, 2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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amistre64
  • amistre64
whats the mean?
anonymous
  • anonymous
8
amistre64
  • amistre64
subtract 8 from every data point .. whats the set we get?

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anonymous
  • anonymous
2, 4, 0, -6
amistre64
  • amistre64
good, now square those values
anonymous
  • anonymous
How?
amistre64
  • amistre64
n^2 = n*n
anonymous
  • anonymous
Multiply each number with itself
amistre64
  • amistre64
the longest part is simply finding the sum of the squares of the differences from the mean ....
amistre64
  • amistre64
step 1; find the mean of the set step 2; subtract the mean from the set step 3; square the results step 4; find the mean of the squares (if its a population), or use n-1 for a sample the result of this is called variance. the sqrt(variance) equals standard deviation
anonymous
  • anonymous
Ok i'm confused on the last step
amistre64
  • amistre64
2, 4, 0, -6 ; square these values 2^2, 4^2, 0^2, (-6)^2 ; what do we get to work with?
anonymous
  • anonymous
4, 16, 0, -36
amistre64
  • amistre64
-6 * -6 = 36 the idea is to have all positive values now considering that the data set is a population, and not a sample of a population .... what is the mean of the squares?
anonymous
  • anonymous
14
amistre64
  • amistre64
then the variance is 14 standard deviation is the sqrt of variance soooo sqrt(14) = ??? rnd it as they desire
anonymous
  • anonymous
Ok thanks
amistre64
  • amistre64
suppose this was a sample from a given population .... such that the population had 32 data points. that mean of the squares would be refering to a sample (of size 4) of the population and we would need to divide by: 4-1 but thats just insight into a different question
anonymous
  • anonymous
How do you round 14 to the nearest hundreth then?
anonymous
  • anonymous
*one hundreth
amistre64
  • amistre64
what do you get as the sqrt(14) ?
anonymous
  • anonymous
14?
anonymous
  • anonymous
or 196?
amistre64
  • amistre64
\[\sqrt{14}=??\]
amistre64
  • amistre64
im assuming you know how to operate a calculator for this
amistre64
  • amistre64
if not, type: sqrt(14) into a google search
anonymous
  • anonymous
3.741?
amistre64
  • amistre64
yep, the "hundreths" spot is 2 decimals
amistre64
  • amistre64
so, 3.74 is fine
anonymous
  • anonymous
ok thanks
amistre64
  • amistre64
youre welcome

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