## 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

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