Calculate the standard deviance (statistics)

AI Thread Summary
The discussion centers on calculating the standard deviation from a given set of values. The user initially calculated a standard deviation of 4.40 but was confused by an example stating to assume a standard deviation of 3.50. Clarification was provided that this assumption pertains to the population standard deviation, which can differ from the sample standard deviation calculated by the user. The method of dividing by either the sample size or sample size minus one can affect the result. Ultimately, the user resolved their confusion independently.
RedonYellow
Messages
3
Reaction score
0
(solved) Calculate the standard deviation (statistics)

Homework Statement



From this table of values, I'm supposed to calculate the standard deviance

dm2-1.jpg


Homework Equations



Up until this point, I've had no problem calculating the standard deviance with my calculator by going to STAT> CALC > 1 and entering the table.

The Attempt at a Solution



This is was my method of solving it this time, and my answer was 4.40. However, the answer in the example says to "Assume that the standard deviance is 3.50." I don't understand the basis of making such an assumption. How can I calculate the standard deviance in a way that will result in 3.50 as my answer?
 
Last edited:
Physics news on Phys.org


RedonYellow said:
However, the answer in the example says to "Assume that the standard deviance is 3.50." I don't understand the basis of making such an assumption.

If the question is saying to assume the population standard deviation is 3.5, this does not contradict getting a different answer for the sample standard deviation, which is what you calculated.

The only wiggle room that I see for you in calculating the sample standard deviation is whether you divide by 19 (the samle size minus 1) or 20 (the sample size). I haven't checked the arithmetic you did.
 
Never mind. I figured it out
 
Last edited:
I tried to combine those 2 formulas but it didn't work. I tried using another case where there are 2 red balls and 2 blue balls only so when combining the formula I got ##\frac{(4-1)!}{2!2!}=\frac{3}{2}## which does not make sense. Is there any formula to calculate cyclic permutation of identical objects or I have to do it by listing all the possibilities? Thanks
Since ##px^9+q## is the factor, then ##x^9=\frac{-q}{p}## will be one of the roots. Let ##f(x)=27x^{18}+bx^9+70##, then: $$27\left(\frac{-q}{p}\right)^2+b\left(\frac{-q}{p}\right)+70=0$$ $$b=27 \frac{q}{p}+70 \frac{p}{q}$$ $$b=\frac{27q^2+70p^2}{pq}$$ From this expression, it looks like there is no greatest value of ##b## because increasing the value of ##p## and ##q## will also increase the value of ##b##. How to find the greatest value of ##b##? Thanks
Back
Top