HP 17BII Sigma calculations are inconsistent



#4

S=Sigma(I:1/7:N/7:1/7:0/7+1/7) The variables are S N e.g. if N=3 S=.4286 From N=1 to N=8 the answers are logical and consistent but from N=9 to N=1,000 etc. S=N-1 e.g. N=21 S=2.8571 Anybody out there with an explanation?


#5

The answer is yes and no.

Remember your maths classes ?

S is the square root of the square of the sum of the differences with the mean divided by the sample (n)

But to get ONE difference, you need TWO values, to get 5 differences, you need 6 values. So statisticians developped (I don't know the exact word in English) a "corrected" standard deviation which is the same formula, but divided by n-1 instead of by n.

The largerpopulation, the less effect n or n-1 has on the standard deviation calculation.

I don't know the 17BII, but I do know the 19BII and no doubt that the used formula is this corrected standard deviation (divided by n-1). You want to get the normal standard deviation ? Nothing more easy : once your list entered, calculated the mean, and key in S+ (sigma plus). You'll add 1 to n, so n-1+1 = n, and the difference of this item with the mean is null... This is even explained in the 19BII manual, so I guess this problem and how to treat is is also explained in the 17BII manual.

By the way, I am just creating a website about my HP collection, but also with the limits of use HP financial calcs and how to bypass them. You are all encouraged to visit hpcalc.multimania.com and leave me feedback to my site still in construction.


#6

Thibaut.be: Thanks for your help. I checked your web site looks interesting.


Possibly Related Threads...
Thread Author Replies Views Last Post
  Solver issue with HP 17BII - different from 19BII Jeff Kearns 13 1,951 11-28-2013, 02:36 AM
Last Post: Don Shepherd
  17BII & 17BII+ Discounted Payback Period Revisited Tom Neudorfl 8 1,536 11-25-2013, 10:28 AM
Last Post: Don Shepherd
  Is the Prime a superset of the HP 17bII+ ? vrrr 3 838 10-16-2013, 12:03 PM
Last Post: Michael de Estrada
  [Sigma]DAT on the 50G Matt Agajanian 2 555 09-06-2013, 09:46 PM
Last Post: Matt Agajanian
  wp-34s (Inconsistent Behavior) Barry Mead 2 619 07-23-2013, 02:54 AM
Last Post: Marcus von Cube, Germany
  hp 17bii+ dates calculation... JoePaul 6 1,230 07-14-2013, 11:32 AM
Last Post: Katie Wasserman
  HP-17bII+ emulator problem (TW?) fhub 7 1,132 06-23-2013, 09:57 AM
Last Post: Olivier De Smet
  HP-17bII+ Solve Compatibility Issues Robert Prosperi 7 1,372 04-22-2013, 10:11 PM
Last Post: Gerson W. Barbosa
  A very long HP-17BII equation Gerson W. Barbosa 22 2,859 04-19-2013, 12:37 AM
Last Post: Gerson W. Barbosa
  Trigonometric Functions (HP-17BII) Gerson W. Barbosa 2 822 04-09-2013, 11:57 PM
Last Post: Gerson W. Barbosa

Forum Jump: