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HP 11C (and Emulators): The Four Means

HP 11C (and Emulators):  The Four Means

Introduction

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.  Also, after clearing the registers, store 1 in register 7 (R7).  

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

Don’t forget to store 1 in R7 prior to running the program. 

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

Example:
Sample set:  4.25, 4.08, 5.63, 6.13, 4.48, 7.02 ( 6 data points )

Keystrokes:

4.25 [ f ] [ √ ] (A)
4.08 [ f ] [ √ ] (A)
5.63 [ f ] [ √ ] (A)
6.13 [ f ] [ √ ] (A)
4.48 [ f ] [ √ ] (A)
7.02 [ f ] [ √ ] (A)

[ f ] [e^x] (B)   5.2650 (arithmetic mean, μ)
[R/S] 5.0556 (harmonic mean, HM)
[R/S] 5.1575 (geometric mean, GM)
[R/S] 5.3748 (root mean square, RMS)

Eddie
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