(11C) The Four Means
10-21-2018, 08:27 PM (This post was last modified: 10-21-2018 08:31 PM by Eddie W. Shore.)
Post: #1
 Eddie W. Shore Senior Member Posts: 1,234 Joined: Dec 2013
(11C) The Four Means
The following program uses the statistical registers to calculate four types of mean:

Arithmetic Mean: μ = Σx / n

Harmonic Mean: HM = n / Σ(1/x)

Geometric Mean: GM = (Πx) ^ (1/n)

Root Mean Square: RMS = √(Σx^2 / n)

The HP 11C uses the following registers in statistical analysis. Be sure to clear registers by pressing [ f ] [ x<>y ] (CLEAR REG) before beginning.

R0 = n
R1 = Σx
R2 = Σx^2
R3 = Σy
R4 = Σy^2
R5 = Σxy

LBL A: Enter data
LBL B: Analysis: μ [R/S], HM [R/S], GM [R/S], RMS

HP 11C Program: The Four Means
Code:
 001 42, 21, 11  LBL A 002 49   Σ+ 003 43, 36  LAST x 004 44, 20, 7  STO× 7 005 15   1/x 006 44, 40, 6   STO+ 6 007 43, 32  RTN 008 42, 21, 12  LBL B 009 43, 0         x-bar  010 32   R/S 011 45, 6         RCL 6 012 15   1/x 013 45, 0   RCL 0 014 20   * 015 31   R/S 016 45, 7         RCL 7 017 45, 0         RCL 0 018 15   1/x 019 14   y^x 020 31   R/S 021 45, 2         RCL 2 022 45, 0         RCL 0 023 10   ÷ 024 11   √ 025 43, 32  RTN

10-22-2018, 01:47 AM
Post: #2
 Carsen Member Posts: 201 Joined: Jan 2017
RE: (11C) The Four Means
Good work Eddie! I had a lot of fun with your program for finding the 4 different means and I can see you put a lot of work into your blog. It's like a form of retreat for me.

I ran your program and I got every mean except the geometric mean. I checked all my inputs as well as checked my program for any errors and detected none. After entering your example into my 11C emulator, my register 7 has a 0.0000 in it, which leads me to believe that the STO * 7 is not working as intended.
10-22-2018, 12:30 PM
Post: #3
 Eddie W. Shore Senior Member Posts: 1,234 Joined: Dec 2013
RE: (11C) The Four Means
(10-22-2018 01:47 AM)Carsen Wrote:  Good work Eddie! I had a lot of fun with your program for finding the 4 different means and I can see you put a lot of work into your blog. It's like a form of retreat for me.

I ran your program and I got every mean except the geometric mean. I checked all my inputs as well as checked my program for any errors and detected none. After entering your example into my 11C emulator, my register 7 has a 0.0000 in it, which leads me to believe that the STO * 7 is not working as intended.

I forgot to say store 1 in register 7 first before running the program. Thanks for reminding me!
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