<content> N </content>

9e46dfff-ab3d-4f34-a881-ee8305e6b380 114 4 5 false false 0 0 decimal

&[DATE] &[TIME] - &[FILENAME]

N 15214334555667138109610911151213137147151016617218121913201021122252312241125112617277282299305313329331634113513367379389397409417428431344114544611479486497501851115255313548551256165785813591660561862763664765116646796856917708711372137313741275137617747887914808811182118312841285486487188689159011911092293129413958961597139889910100141011210271036104121051510681074108111091211031111311281131311416115101161111712118101198120161215122161236124161251112614127212891290130113141327133713491351213681371113891391014017141414213143414417145121461614712148101491415031514152121532154315511156815715158111591016091618162916310164116551661716717168316911170111711017281734174121751717681771217811179101801218110182131831118491850186161872188318911190319117192121935194919511196919761983199720052002 mat :

<content> Histogram utilities </content>

Stem plot for QuickPlot unicolor data Stem stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - (range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - (range V V stem j el stack : for V V data data rows row stack : 71 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

vx vy a b c plotG a char ≡ b size ≡ c color ≡ 13 mat n vx length : plot vx 1 el vy 1 el a b c augment : i 2 n range plot plot vx i el vy i el a b c augment stack : for plot 51 line :

μ N 2 col Mean : σ N 2 col StdDev : 21 mat 9.29 021 mat

N 2 col Max 18

σ½ 0.5 σ * : 0

N 0.1 BarSize

N Stem

N μ 2 1 sys

=== The histogram ▼ companions ===

counts specific values in a sorted vector value table count k 1 : j k table rows range table j el value ≡ index k el j : k k 1 + : 21 line No match if for index rows 31 line :

N N 2 col sort :

collect all the counted values in sorted 'N' N histogram i 0 N max range x i 1 + el i : count i 1 + el i N count : 21 line for x count augment 21 line :

If an error message says "index not defined", your 'N'
vector is erroneous, i.e: the 0.. max(N) is not contiguous,
some 'N value' is/are missing ! Simply not compatible histogram.
... cyclic repetition ?

μ N Mean : σ N StdDev : 21 mat 9.29 021 mat

low N min : upp N max : 21 mat 01821 mat

H N histogram :

s 0.325 :

Sigma μ σ½ - s - μ σ½ - s μ σ½ + s μ σ½ + s - μ σ½ - s - 52 mat :

n N length : h upp low - H rows / : 21 mat 200 0.9474 21 mat

H rows 19

Stem & bar plots stem H Stem : Plot H 0.1 BarSize : 21 line

H 02142639411512697138179161014112212201317145155169178181192 mat

XY Plot μ 40 μ 10 - 22 mat x μ σ pdf.Normal n * h * 31 sys :

Quick x μ σ pdf.Normal n * h * stem μ 40 μ 10 - 22 mat xy Sigma 71 sys :

vx 0 upp 1 range :

vy vx μ σ pdf.Normal n * h * vectorize :

xy vx vy . 4 black plotG :

Quick XY

About histograms:

This Smath document starts at some user data set already prepared,
i.e: data are made visible from "appropriate scaling" and floor/
ceiling to obtain integer numbers. Statisticians like to see how
many values will fall in so many "bins". It may mean something to
them with the remaining of the "statistical suites".
Engineers have much different objectives. The 'N' plot has no
meaning from the look. Don't be wrong, under the hood it will reveal
the dispersion of measurements ... most interesting to determine an
eventual PDF model representing the phenomenon.
........................

If you are given a "PDF like" data set, it may have been "freaked unknown".
In that case, you will spare lot of time debating about 'models'.
Unless binining is natural, histogram is fake.

N 15214334555667138109610911151213137147151016617218121913201021122252312241125112617277282299305313329331634113513367379389397409417428431344114544611479486497501851115255313548551256165785813591660561862763664765116646796856917708711372137313741275137617747887914808811182118312841285486487188689159011911092293129413958961597139889910100141011210271036104121051510681074108111091211031111311281131311416115101161111712118101198120161215122161236124161251112614127212891290130113141327133713491351213681371113891391014017141414213143414417145121461614712148101491415031514152121532154315511156815715158111591016091618162916310164116551661716717168316911170111711017281734174121751717681771217811179101801218110182131831118491850186161872188318911190319117192121935194919511196919761983199720052002 mat :

Disambiguate . . .
histogram(N) below is CLT style
NOT for use for current project(s)

N histogram value N count k 1 : j k N rows range N j el value ≡ index k el j : k k 1 + : 21 line index k el 0 : if for index rows 31 line : i 1 N rows range x i el i : count i el i N count : 21 line for x count augment 31 line :

H N histogram :

H rows 200

stem H 0.1 BarSize :

stem

Smath resume/export histogram

=== Command-line histogram ▼ companion ===

<content> Collapsed Companion </content>

Comosite histogram algo style ... collapse utilities V histogram data Clear V V 2 col sort : value data count k 1 : j k data rows range data j el value ≡ index k el j : k k 1 + : 21 line end count if for index rows 31 line : ...... i 0 V max range x i 1 + el i 0 + : count i 1 + el i V count : 21 line for x count augment 21 line 51 line :

i ± to shift \[REGION[581d39aae4774fb2bda3ebd49e75ab9d]]\

x

Stem plot for QuickPlot unicolor data Stem stemX 1 data rows range : i 1 stemX rows range stem i el data i 1 el data i 2 el data i 1 el 022 mat : for i 1 stem rows 1 - (range stem i el stem i el stem i 1 + (1 el 1 el 012 mat stack : for V stem 1 el : j 2 stem rows 1 - (range V V stem j el stack : for V V data data rows row stack : 71 line :

Bar plot unicolor style, bar width user. data dt BarSize v data 2 col : t v bar t dt - 0 t dt - v t dt + v t dt + 042 mat : j 1 data rows range j 1 ≡ B data j 1 el data j 2 el bar : B B data j 1 el data j 2 el bar stack : if 11 line for B 41 line :

vx vy a b c plotG a char ≡ b size ≡ c color ≡ 13 mat n vx length : plot vx 1 el vy 1 el a b c augment : i 2 n range plot plot vx i el vy i el a b c augment stack : for plot 51 line :

data char size clr plot k 1 data rows range r3 k el char : r4 k el size : r5 k el clr : 13 mat for data r3 r4 r5 augment 21 line :

N 15214334555667138109610911151213137147151016617218121913201021122252312241125112617277282299305313329331634113513367379389397409417428431344114544611479486497501851115255313548551256165785813591660561862763664765116646796856917708711372137313741275137617747887914808811182118312841285486487188689159011911092293129413958961597139889910100141011210271036104121051510681074108111091211031111311281131311416115101161111712118101198120161215122161236124161251112614127212891290130113141327133713491351213681371113891391014017141414213143414417145121461614712148101491415031514152121532154315511156815715158111591016091618162916310164116551661716717168316911170111711017281734174121751717681771217811179101801218110182131831118491850186161872188318911190319117192121935194919511196919761983199720052002 mat :

Plug your ▲ N data set
column N1 ► incremental/consecutive/integer.

μ N 2 col Mean : σ N 2 col StdDev : σ½ 0.5 σ * : 31 mat 9.29 0031 mat

H N histogram :

low N min : upp N max : 21 mat 01821 mat

n N rows : h upp low - H rows / : 21 mat 200 0.9474 21 mat

bar H 0.1 BarSize :

size Sigma s 0.375 :

Sigma μ σ½ - s - μ σ½ - s μ σ½ + s μ σ½ + s - μ σ½ - s - 52 mat :

Quick x μ σ pdf.Normal n * h * bar μ 40 μ 10 - 22 mat xy Sigma 71 sys :

n 200

h 0.9474

H 02142639411512697138179161014112212201317145155169178181192 mat

x Normal x μ σ pdf.Normal n * h * :

vx low upp 1 range : vy vx μ σ pdf.Normal n * h * vectorize : xy vx vy . 4 black plotG : 31 sys

Quick

search value(s) in specific col

N 15214334555667138109610911151213137147151016617218121913201021122252312241125112617277282299305313329331634113513367379389397409417428431344114544611479486497501851115255313548551256165785813591660561862763664765116646796856917708711372137313741275137617747887914808811182118312841285486487188689159011911092293129413958961597139889910100141011210271036104121051510681074108111091211031111311281131311416115101161111712118101198120161215122161236124161251112614127212891290130113141327133713491351213681371113891391014017141414213143414417145121461614712148101491415031514152121532154315511156815715158111591016091618162916310164116551661716717168316911170111711017281734174121751717681771217811179101801218110182131831118491850186161872188318911190319117192121935194919511196919761983199720052002 mat :

counts specific values in a sorted vector value table count k 1 : j k table rows range table j el value ≡ index k el j : k k 1 + : 21 line No match if for index rows 31 line :

Does NOT vectorize 5101531 mat N 2 col count vectorize

setup extract values Ω 510152041 mat :

error "index not defined" ...
the searched value does NOT exist

j 3 :

Ω j el N 2 col count 5

once the inexitant(s) collected
strip \[REGION[6426c34761924c92afa847245e370b84]]\... NOT offered

'N'

i 13 range Nval i el Ω i el N 2 col count : for

Nval 1214531 mat

jmG: 20230923