Creation and Visualization of Statistical Charts

2020-11-06 01:27

This GeoGebra example demonstrates how to create custom statistical charts using commands like Histogram, Zip, and Sequence. By constructing list and sequence objects, it dynamically generates histograms and other statistical graphs, combined with text objects to display data characteristics. Suitable for probability and statistics education, it helps students intuitively understand data distribut

#probability #sequence #graphing

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	<gridColor r="192" g="192" b="192"/>
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	<labelStyle axes="1" serif="true"/>
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	<axis id="1" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="2" tickExpression="2" axisCross="45" positiveAxis="true"/>
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	<continuous val="false"/>
	<usePathAndRegionParameters val="true"/>
	<decimals val="2"/>
	<angleUnit val="degree"/>
	<algebraStyle val="0" spreadsheet="0"/>
	<coordStyle val="0"/>
</kernel>
<tableview min="-2" max="2" step="1"/>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<expression label="l1" exp="{50, 59, 60, 69, 70, 79, 80, 89}"/>
<element type="list" label="l1">
	<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
	<symbolic val="true" />
</element>
<expression label="l2" exp="{5, 0, 9, 0, 15, 0, 6}"/>
<element type="list" label="l2">
	<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
	<symbolic val="true" />
</element>
<command name="Histogram">
	<input a0="l1" a1="l2"/>
	<output a0="a"/>
</command>
<element type="numeric" label="a">
	<value val="315"/>
	<show object="true" label="false"/>
	<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
	<layer val="0"/>
	<labelMode val="1"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
</element>
<command name="Zip">
	<input a0="If[S ≠ 0, Text[S, (P, S) + (3, 0.2)]]" a1="S" a2="l2" a3="P" a4="l1"/>
	<output a0="l3"/>
</command>
<element type="list" label="l3">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<font serif="false" sizeM="1.4" size="8" style="1"/>
	<angleStyle val="0"/>
</element>
<command name="Sequence">
	<input a0="Text[l1(k)] + (Text[(-l1(k + 1))])" a1="k" a2="1" a3="Length[l1] - 1" a4="2"/>
	<output a0="l4"/>
</command>
<element type="list" label="l4">
	<show object="false" label="false"/>
	<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
</element>
<command name="Sequence">
	<input a0="Text[l4(k + 1), (l1((2 * k) + 1), -0.8)]" a1="k" a2="0" a3="Length[l4] - 1"/>
	<output a0="l5"/>
</command>
<element type="list" label="l5">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
</element>
<expression label="text1" exp="&quot;人数&quot;"/>
<element type="text" label="text1">
	<show object="true" label="false" ev="40"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<font serif="false" sizeM="1" size="0" style="1"/>
	<startPoint x="46" y="16" z="1"/>
</element>
<expression label="text2" exp="&quot;字数/分&quot;"/>
<element type="text" label="text2">
	<show object="true" label="false" ev="40"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<font serif="false" sizeM="1" size="0" style="1"/>
	<startPoint exp="(x(Corner[2]) - 14, -0.8)"/>
</element>
</construction>
</geogebra>

<?xml version="1.0" encoding="utf-8"?>
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	<views>
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		<view id="2" visible="false" inframe="false" stylebar="true" location="3" size="369" tab="ALGEBRA" window="100,100,600,400" />
		<view id="16" visible="false" inframe="false" stylebar="false" location="1" size="150" window="50,50,500,500" />
		<view id="32" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
		<view id="64" toolbar="0" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
		<view id="128" visible="false" inframe="false" stylebar="false" location="1" size="480" window="50,50,500,500" />
		<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="false" stylebar="true" location="1" size="150" window="50,50,500,500" />
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	<toolbar show="false" items="0 39 73 62 | 1 501 67 , 5 19 , 72 75 76 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71  14  68 | 30 29 54 32 31 33 | 25 17 26 60 52 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
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	<angleUnit val="degree"/>
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<tableview min="-2" max="2" step="1"/>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<expression label="l1" exp="{50, 59, 60, 69, 70, 79, 80, 89}"/>
<element type="list" label="l1">
	<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
	<symbolic val="true" />
</element>
<expression label="l2" exp="{5, 0, 9, 0, 15, 0, 6}"/>
<element type="list" label="l2">
	<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
	<animation step="1" speed="1" type="0" playing="false"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
	<symbolic val="true" />
</element>
<command name="Histogram">
	<input a0="l1" a1="l2"/>
	<output a0="a"/>
</command>
<element type="numeric" label="a">
	<value val="315"/>
	<show object="true" label="false"/>
	<objColor r="0" g="0" b="0" alpha="0.10000000149011612"/>
	<layer val="0"/>
	<labelMode val="1"/>
	<lineStyle thickness="2" type="0" typeHidden="1"/>
</element>
<command name="Zip">
	<input a0="If[S ≠ 0, Text[S, (P, S) + (3, 0.2)]]" a1="S" a2="l2" a3="P" a4="l1"/>
	<output a0="l3"/>
</command>
<element type="list" label="l3">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<font serif="false" sizeM="1.4" size="8" style="1"/>
	<angleStyle val="0"/>
</element>
<command name="Sequence">
	<input a0="Text[l1(k)] + (Text[(-l1(k + 1))])" a1="k" a2="1" a3="Length[l1] - 1" a4="2"/>
	<output a0="l4"/>
</command>
<element type="list" label="l4">
	<show object="false" label="false"/>
	<objColor r="0" g="100" b="0" alpha="0.10000000149011612"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
</element>
<command name="Sequence">
	<input a0="Text[l4(k + 1), (l1((2 * k) + 1), -0.8)]" a1="k" a2="0" a3="Length[l4] - 1"/>
	<output a0="l5"/>
</command>
<element type="list" label="l5">
	<show object="true" label="false" ev="4"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<lineStyle thickness="5" type="0" typeHidden="1"/>
	<pointSize val="5"/>
	<angleStyle val="0"/>
</element>
<expression label="text1" exp="&quot;人数&quot;"/>
<element type="text" label="text1">
	<show object="true" label="false" ev="40"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<font serif="false" sizeM="1" size="0" style="1"/>
	<startPoint x="46" y="16" z="1"/>
</element>
<expression label="text2" exp="&quot;字数/分&quot;"/>
<element type="text" label="text2">
	<show object="true" label="false" ev="40"/>
	<objColor r="0" g="0" b="0" alpha="0"/>
	<layer val="0"/>
	<labelMode val="0"/>
	<font serif="false" sizeM="1" size="0" style="1"/>
	<startPoint exp="(x(Corner[2]) - 14, -0.8)"/>
</element>
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