find the standard deviation for the following set of info; 1 1 1 1 1 1 1 1
help me please
wouldn't it be zero since the set is all the same numbers
i guess but how do you find standard deviation ex 3 5 5 7 7 9
it's a little confusing you take the square of all the numbers in the set and find the mean of that and you subtract it by the normal mean of the set squared and you take the square root of all of that eg. [(9+25+25+49+49+81)/6] - (3+5+5+7+7+9/6)^2 and whatever you get you take the square root
thats not how i learnt it ....
it's been awhile i just googled it if you have a better way to explain it then go ahead lol
i'm basically taking the square root of var(x)
find the mean of the set find the difference between the mean and each datapoint square those differences and add em up \[\sum (x-\mu)^2\] divide by n (for population) ; or n-1 (for samples) \[\frac{\sum (x-\mu)^2}{N,(n-1)}\] this is variance; standard deviation is just the sqrt of variance
to find the mean do i square the numbers
no, to find the mean you add the numbers and divide by how may there are
\[mean(a_1,a_2,a_3,...,a_n)=\frac{a_1+a_2+a_3+...+a_n}{n}\]
ok then what
go to the next step ...
find the difference between the mean and the data points
i dont understand data point
the numbers you are given are the data results of the tests/experiments/goings-on
you are given a set of numbers, of data points, to manuver with
can you show me
can i show you what your numbers are?
3 5 5 5 7 7 8
ok, and the mean of those is?
opps take off one 5 and replace 8 wiith 9
ok 6
subtract the mean, you say its 6, from each number and rewrite the set
it doesnt matter if you subtract the mean from the number or the number from the mean; its the difference we want; sign doesnt matter
-3 -1 -1 1 1 3 ok
those look fine now square them
9 1 1 1 1 9
good, now add those all together
22
almost there; do you know if this data represents a sample of a population?
no
well, when you know if its a pop. (divide by the number of data points) or a samp (number of data points minus 1) you have 6 numbers; so lets assume its a population just for closure :) 22/6 = variance sqrt(22/6) = standard deviation
if it was a sample; wed of divided by 5 in this case
ok thnks so much!!!!!!!:):) u rock
oure welcome, hope it helped :)
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