What is the standard deviation of 1, 2, 3, 4,

derlingasmh

derlingasmh

Answered question

2022-01-28

What is the standard deviation of 1, 2, 3, 4, and 5?

Answer & Explanation

Rohan Mercado

Rohan Mercado

Beginner2022-01-29Added 10 answers

Explanation:
The formula for standard deviation is
s=(xx)2n1
In this case n=5
and x=1nk=1nxk=15k=15k=1+2+3+4+55=155=3
then the sum of squares k=1n(xx)k2 is
k=15(x3)k2=(2)2+(1)2+02+12+22
=4+1+0+1+4=10
Then we plug in
s=(xx)2n1=104=102
Micah May

Micah May

Beginner2022-01-30Added 11 answers

Here we have been provided with the observations 1, 2, 3, 4 and 5. We have to find the standard deviation of these observations. To calculate the standard deviation first we need to calculate the mean of these observations. Hence the standard deviation of the given observations is 2.

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