HP 32S and HP 32SII Week: Maximum, Minimum , Histogram
Introduction
The program takes data and determines:
* maximum of the data set (X)
* minimum of the data set (Y)
* bin width using Scott's normal rule (h, see formula below)
* number of bins (k, rounding is not included)
Scott's normal rule:
h = 3.49 * sx / (n^(1/3))
Number of bins:
k = (max - min) / h
In practice, take the ceiling of k.
Instructions
1. Enter the first data point.
2. Press XEQ D (execute label D)
3. Enter the next data point, press R/S. Repeat until the last data point.
4. Press XEQ C
HP 32S/32SII Program: Maximum, Minimum, Bin Width, Number of Bins
Total Size (labels D, S, C): 61.5, plus 48 bytes for statistical data
(D: 6.0, S: 18.0, C: 37.5)
D01 LBL D // data
D02 CLΣ
D03 STO X
D04 STO Y
S01 LBL S
S02 RCL X
S03 x<>y
S04 x>y?
S05 STO X
S06 RCL Y
S07 x<>y
S08 x<y?
S09 STO Y
S10 Σ+
S11 STOP
S12 GTO S
C01 LBL C
C02 RCL X
C03 STOP
C04 RCL Y
C05 STOP
C06 -
C07 49
C08 1
C09 % // C07 - C09: build 0.49 in 4.5 bytes instead of 9.5 bytes
C10 3
C11 +
C12 Sx
C13 ×
C14 n
C15 3
C16 1/x
C17 y^x
C18 ÷
C19 STO H
C20 STOP
C21 RCL X
C22 RCL- Y
C23 RCL÷ H
C24 STO K
C25 STOP
Example
Data Set:
4.0
5.8
5.7
5.2
4.6
4.9
6.3
7.1
6.6
6.4
4 XEQ D
5.8 R/S
5.7 R/S
...
6.4 R/S
XEQ C
X: max: 7.1
Y: min: 4
h: 1.58387549541
k: 1.95722454763 (2 bins)
Source:
"Histogram" Wikipedia. Last Updated March 28, 2022. https://en.wikipedia.org/wiki/Histogram Last Accessed March 31, 2022.
Up next: a review of the HP 45 - May 9, 2022
Eddie
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