Friday, May 6, 2022

HP 32S and HP 32SII Week: Maximum, Minimum , Histogram

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 


All original content copyright, © 2011-2022.  Edward Shore.   Unauthorized use and/or unauthorized distribution for commercial purposes without express and written permission from the author is strictly prohibited.  This blog entry may be distributed for noncommercial purposes, provided that full credit is given to the author. 


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