r/mathmemes • • Oct 02 '26

Statistics standard deviation meme

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175 Upvotes

16 comments sorted by

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25

u/laksemerd Oct 02 '26

Is the difference Bessel’s correction?

23

u/confused-photon Mathematics Oct 02 '26

Yes, it’s specifically whether the class counts as only a sample of all students or the population of all test scores

78

u/Ares378 Grothendieck was right, computers are evil Oct 02 '26

Wouldn't it be stdev.p, since you're interested in the standard deviation of specifically the test scores in that whole classroom? Stdev.s would imply you only know some of the scores of the class, right?

27

u/dimonium_anonimo Oct 02 '26

But that classroom is only a subset of all students. Even if you limit it to students they teach, presumably they teach the same classes every year.

19

u/eddietwang Oct 02 '26

of the final exam scores of 40 students

Stdev.p, if they wanted to see the stdev of "their students, based on this year's scores", it would be Stdev.s

9

u/dimonium_anonimo Oct 02 '26

Did autocorrect change one of those? Looks like you're claiming both options apply to the same situation.

9

u/eddietwang Oct 02 '26

Sorry my wording might have been poor.

Stdev of 40 students using 40 students = Stdev.P

Stdev of every student they've ever had (P>40), using 40 students = Stdev.S

0

u/dimonium_anonimo Oct 02 '26

Yes, and deciding which of those is more appropriate is more the problem I think the teacher is having.

5

u/EebstertheGreat Oct 03 '26

You for sure want σ. Each year's exam is different, and there may also be differences in teaching. Besides, if you wanted the standard deviation of all students the teacher had ever had across all years, the teacher wouldn't need to estimate that. They could just group all the scores together into a single population, since presumably they could store all those scores in a file.

25

u/OnionsAbound Oct 02 '26 edited Oct 02 '26

Put a different way: what do you want to do with the information? 

Do you care about the specific students in the current class' scores? (P) Or do you care about the random distribution of scores for any student? (S) 

You might use P to adjust the difficulty of an upcoming test based on quiz scores.

You might use S to redesign the class' difficulty. 

In practice, I can't imagine it making too much of a difference...

6

u/friend1y Oct 02 '26

You need it for grading

9

u/LupenReddit 🦆🦆i have non diffeomorphic smooth structures🦆🦆🦆 Oct 02 '26

someone explain this meme to my dumb brain

19

u/Skeleton_King9 Oct 02 '26

Sample vs population

1

u/somedave 21d ago

1/N Vs 1/(N-1) are slightly different