pgfplots Histogram with Normal Curve












1















Variations on this question have been asked multiple times before, but I have been unsuccessful in getting them to work. I may be (and most likely am) just inept at statistics.



I wish to plot a normal curve on top of this histogram using the data contained in the CSV file.



Many answers I have seen create a normal/gauss function, but I have excluded this from the MWE in case there is another, simpler way to do it.



Any assistance would be appreciated!



The histogram seeking a normal curve.



MWE:



begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
usepackage{pgfplotstable}

begin{document}

begin{tikzpicture}
centering
begin{axis}[
ybar interval,
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};

end{axis}
end{tikzpicture}
end{document}









share|improve this question


















  • 1





    When you are saying "create a normal/gauss function" do you mean literally a Gaussian whose center, width and normalization you will provide, or are you seeing a way to extract the center and the width from the data and to draw the Gaussian then?

    – marmot
    Jan 22 at 0:12
















1















Variations on this question have been asked multiple times before, but I have been unsuccessful in getting them to work. I may be (and most likely am) just inept at statistics.



I wish to plot a normal curve on top of this histogram using the data contained in the CSV file.



Many answers I have seen create a normal/gauss function, but I have excluded this from the MWE in case there is another, simpler way to do it.



Any assistance would be appreciated!



The histogram seeking a normal curve.



MWE:



begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
usepackage{pgfplotstable}

begin{document}

begin{tikzpicture}
centering
begin{axis}[
ybar interval,
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};

end{axis}
end{tikzpicture}
end{document}









share|improve this question


















  • 1





    When you are saying "create a normal/gauss function" do you mean literally a Gaussian whose center, width and normalization you will provide, or are you seeing a way to extract the center and the width from the data and to draw the Gaussian then?

    – marmot
    Jan 22 at 0:12














1












1








1


0






Variations on this question have been asked multiple times before, but I have been unsuccessful in getting them to work. I may be (and most likely am) just inept at statistics.



I wish to plot a normal curve on top of this histogram using the data contained in the CSV file.



Many answers I have seen create a normal/gauss function, but I have excluded this from the MWE in case there is another, simpler way to do it.



Any assistance would be appreciated!



The histogram seeking a normal curve.



MWE:



begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
usepackage{pgfplotstable}

begin{document}

begin{tikzpicture}
centering
begin{axis}[
ybar interval,
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};

end{axis}
end{tikzpicture}
end{document}









share|improve this question














Variations on this question have been asked multiple times before, but I have been unsuccessful in getting them to work. I may be (and most likely am) just inept at statistics.



I wish to plot a normal curve on top of this histogram using the data contained in the CSV file.



Many answers I have seen create a normal/gauss function, but I have excluded this from the MWE in case there is another, simpler way to do it.



Any assistance would be appreciated!



The histogram seeking a normal curve.



MWE:



begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
usepackage{pgfplotstable}

begin{document}

begin{tikzpicture}
centering
begin{axis}[
ybar interval,
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};

end{axis}
end{tikzpicture}
end{document}






pgfplots statistics histogram






share|improve this question













share|improve this question











share|improve this question




share|improve this question










asked Jan 21 at 20:22









CraigCraig

19412




19412








  • 1





    When you are saying "create a normal/gauss function" do you mean literally a Gaussian whose center, width and normalization you will provide, or are you seeing a way to extract the center and the width from the data and to draw the Gaussian then?

    – marmot
    Jan 22 at 0:12














  • 1





    When you are saying "create a normal/gauss function" do you mean literally a Gaussian whose center, width and normalization you will provide, or are you seeing a way to extract the center and the width from the data and to draw the Gaussian then?

    – marmot
    Jan 22 at 0:12








1




1





When you are saying "create a normal/gauss function" do you mean literally a Gaussian whose center, width and normalization you will provide, or are you seeing a way to extract the center and the width from the data and to draw the Gaussian then?

– marmot
Jan 22 at 0:12





When you are saying "create a normal/gauss function" do you mean literally a Gaussian whose center, width and normalization you will provide, or are you seeing a way to extract the center and the width from the data and to draw the Gaussian then?

– marmot
Jan 22 at 0:12










1 Answer
1






active

oldest

votes


















2














Here is a proposal building on this answer.



documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

usepackage{pgfplotstable}

newcommandGetMean[2]{% from https://tex.stackexchange.com/a/268942/121799
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + thisrow{#2}}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{Sum}{pgfplotsretval}
pgfmathsetmacro{Mean}{Sum/NumRows}
}
newcommandGetVariance[3]{
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + (thisrow{#2}-#3)^2}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{SumSquares}{pgfplotsretval}
pgfmathsetmacro{Variance}{sqrt(SumSquares)/NumRows}
}


begin{document}



begin{tikzpicture}[declare function={%
gauss(x,y,z)=1/(2*z*sqrt(pi))*exp(-(x-y)^2/(2*z^2));}]
begin{axis}[
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[ybar interval,
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};
GetMean{data.csv}{A}

GetVariance{data.csv}{A}{Mean}

addplot[no marks,domain=0:8,smooth,samples=51,thick,color=blue]{Sum*gauss(x,Mean,Variance)};
end{axis}
end{tikzpicture}
end{document}


enter image description here






share|improve this answer
























  • Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

    – Craig
    Jan 22 at 7:22













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1 Answer
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active

oldest

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1 Answer
1






active

oldest

votes









active

oldest

votes






active

oldest

votes









2














Here is a proposal building on this answer.



documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

usepackage{pgfplotstable}

newcommandGetMean[2]{% from https://tex.stackexchange.com/a/268942/121799
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + thisrow{#2}}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{Sum}{pgfplotsretval}
pgfmathsetmacro{Mean}{Sum/NumRows}
}
newcommandGetVariance[3]{
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + (thisrow{#2}-#3)^2}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{SumSquares}{pgfplotsretval}
pgfmathsetmacro{Variance}{sqrt(SumSquares)/NumRows}
}


begin{document}



begin{tikzpicture}[declare function={%
gauss(x,y,z)=1/(2*z*sqrt(pi))*exp(-(x-y)^2/(2*z^2));}]
begin{axis}[
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[ybar interval,
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};
GetMean{data.csv}{A}

GetVariance{data.csv}{A}{Mean}

addplot[no marks,domain=0:8,smooth,samples=51,thick,color=blue]{Sum*gauss(x,Mean,Variance)};
end{axis}
end{tikzpicture}
end{document}


enter image description here






share|improve this answer
























  • Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

    – Craig
    Jan 22 at 7:22


















2














Here is a proposal building on this answer.



documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

usepackage{pgfplotstable}

newcommandGetMean[2]{% from https://tex.stackexchange.com/a/268942/121799
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + thisrow{#2}}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{Sum}{pgfplotsretval}
pgfmathsetmacro{Mean}{Sum/NumRows}
}
newcommandGetVariance[3]{
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + (thisrow{#2}-#3)^2}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{SumSquares}{pgfplotsretval}
pgfmathsetmacro{Variance}{sqrt(SumSquares)/NumRows}
}


begin{document}



begin{tikzpicture}[declare function={%
gauss(x,y,z)=1/(2*z*sqrt(pi))*exp(-(x-y)^2/(2*z^2));}]
begin{axis}[
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[ybar interval,
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};
GetMean{data.csv}{A}

GetVariance{data.csv}{A}{Mean}

addplot[no marks,domain=0:8,smooth,samples=51,thick,color=blue]{Sum*gauss(x,Mean,Variance)};
end{axis}
end{tikzpicture}
end{document}


enter image description here






share|improve this answer
























  • Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

    – Craig
    Jan 22 at 7:22
















2












2








2







Here is a proposal building on this answer.



documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

usepackage{pgfplotstable}

newcommandGetMean[2]{% from https://tex.stackexchange.com/a/268942/121799
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + thisrow{#2}}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{Sum}{pgfplotsretval}
pgfmathsetmacro{Mean}{Sum/NumRows}
}
newcommandGetVariance[3]{
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + (thisrow{#2}-#3)^2}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{SumSquares}{pgfplotsretval}
pgfmathsetmacro{Variance}{sqrt(SumSquares)/NumRows}
}


begin{document}



begin{tikzpicture}[declare function={%
gauss(x,y,z)=1/(2*z*sqrt(pi))*exp(-(x-y)^2/(2*z^2));}]
begin{axis}[
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[ybar interval,
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};
GetMean{data.csv}{A}

GetVariance{data.csv}{A}{Mean}

addplot[no marks,domain=0:8,smooth,samples=51,thick,color=blue]{Sum*gauss(x,Mean,Variance)};
end{axis}
end{tikzpicture}
end{document}


enter image description here






share|improve this answer













Here is a proposal building on this answer.



documentclass{standalone}
usepackage{pgfplots}
usepackage{filecontents}
begin{filecontents*}{data.csv}
A
2
3
4
2
3
4
5
6
9
9
1
end{filecontents*}

usepackage{pgfplotstable}

newcommandGetMean[2]{% from https://tex.stackexchange.com/a/268942/121799
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + thisrow{#2}}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{Sum}{pgfplotsretval}
pgfmathsetmacro{Mean}{Sum/NumRows}
}
newcommandGetVariance[3]{
pgfplotstableread{#1}tableA
pgfplotstableset{
create on use/new/.style={
create col/expr={pgfmathaccuma + (thisrow{#2}-#3)^2}},
}
pgfplotstablegetrowsof{tableA}
pgfmathsetmacro{NumRows}{pgfplotsretval}
pgfplotstablegetelem{numexprNumRows-1relax}{new}of{#1}
pgfmathsetmacro{SumSquares}{pgfplotsretval}
pgfmathsetmacro{Variance}{sqrt(SumSquares)/NumRows}
}


begin{document}



begin{tikzpicture}[declare function={%
gauss(x,y,z)=1/(2*z*sqrt(pi))*exp(-(x-y)^2/(2*z^2));}]
begin{axis}[
/pgf/number format/.cd,
use comma,
1000 sep={},
title={Title},
xlabel={X Label},
ylabel={Y Label},
x label style={at={(axis description cs:0.5,-0.1)},anchor=north},
y label style={at={(axis description cs:0.05,0.5)},anchor=south},
xticklabel style={rotate=90, anchor=near xticklabel},
ytick distance=2,
width=textwidth, %10.5cm
height=6cm,
ymin=0
]

%%%
addplot +[ybar interval,
black,
fill=lightgray,
hist={bins=5,
data min=0,
data max=10,
}
] table[y=A, col sep=comma] {data.csv};
GetMean{data.csv}{A}

GetVariance{data.csv}{A}{Mean}

addplot[no marks,domain=0:8,smooth,samples=51,thick,color=blue]{Sum*gauss(x,Mean,Variance)};
end{axis}
end{tikzpicture}
end{document}


enter image description here







share|improve this answer












share|improve this answer



share|improve this answer










answered Jan 22 at 5:14









marmotmarmot

95.4k4110210




95.4k4110210













  • Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

    – Craig
    Jan 22 at 7:22





















  • Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

    – Craig
    Jan 22 at 7:22



















Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

– Craig
Jan 22 at 7:22







Thanks @marmot, this indeed does the trick. It has also made me realise I wasn't clear in my original question (largely because I don't know what I'm talking about). I'll post another question.

– Craig
Jan 22 at 7:22




















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