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Normal Distribution Canvas Application Example

In this example the user is given a list of grades, which can be modified. When the button is clicked a histogram and density plot is displayed and some statistical values are computed.

The complete application source code is available here for you to inspect and modify. It uses the Canvas package to describe the interface, and a ScriptButton to implement an action.

with(Statistics):
with(DocumentTools:-Canvas):
UpdateStats := proc( canvas )
 local data := GetElements(canvas,'custom'="Grades")[1]:-math;
 local data_mean := Statistics:-Mean(data);
 local data_variance := Statistics:-Variance(data);
 local X := RandomVariable(Normal(data_mean, sqrt(data_variance)));
 local P := DensityPlot(X, range = 0..100, thickness = 3, color=red):
 local Q := Histogram(data, range = 0..100):
 local sc := Script();
 SetActive(sc,GetElements(canvas,"plot")[1]);
 SetPlot(sc, plots[display](P, Q) );
 SetActive(sc,GetElements(canvas,'custom'="mean")[1]);
 SetMath(sc,'mu'=data_mean);
 Annotate(sc,"mean");
 SetActive(sc,GetElements(canvas,'custom'="std")[1]);
 SetMath(sc,'sigma'=sqrt(data_variance));
 Annotate(sc,"standard deviation");
 ToString(sc);
end proc:
SampleGrades := [65, 68, 70, 97, 64, 73, 39, 69, 70, 65, 82, 71, 76, 60, 77, 86, 69, 71, 90, 74, 66, 75, 70, 80, 72, 82, 80, 79, 56, 74]:
cv := NewCanvas( ["Normal Distribution of Grades", 
 "Grades:", 
 Math(SampleGrades,'custom'="Grades"), 
 StaticPlot(), 
 Math(sigma = sigma,'custom'="std"), 
 Math(mu = mu,'custom'="mean"),
 ScriptButton("Calculate",UpdateStats,position=[500,50]) 
 ] ):

ShareCanvas(cv);

https://learn.maplesoft.com/#/?d=BGIMHTJLEOJHPJGTKTKRIOGNJNMQGLCHHFHPIPITNGCSGIJKHSPRPMFSGJHHCMNOGKHJOMDSNHGNKMKJGOIPDMNPFGCOJPAQEFAP

ShowCanvas( cv, entrybox=false );

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Make Standard Maple Commands Interactive

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