四分位数与箱线图(两组数据比较)
2015-11-03 10:52
本 GeoGebra 范例演示如何对两组随机数据计算四分位数并绘制箱线图(Box Plot)进行直观比较。通过 BoxPlot、Median、Mean、Mode、Frequency、Sort 等命令,动态展示数据排序、中位数、平均数、众数及频率分布。用户可通过交互按钮重新生成随机数据(Shuffle),实时观察两组数据的箱线图变化,包括最小值、下四分位数、中位数、上四分位数和最大值五个关键统计量,帮助理解数据离散程度与集中趋势的比较分析方法。
<?xml version="1.0" encoding="utf-8"?>
<geogebra format="5.0" version="5.0.286.0" id="b0d9539a-eb18-4b12-901e-a748f33cadf1" xsi:noNamespaceSchemaLocation="http://www.geogebra.org/ggb.xsd" xmlns="" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" >
<gui>
<window width="960" height="660" />
<perspectives>
<perspective id="tmp">
<panes>
<pane location="" divider="0.5075757575757576" orientation="0" />
</panes>
<views>
<view id="4097" visible="false" inframe="true" stylebar="true" location="1,1,1,1" size="400" window="48,103,1184,613" />
<view id="8" toolbar="1001 | 1002 | 1003 || 1005 | 1004 || 1006 | 1007 | 1010 || 1008 1009 || 66 68 || 6" visible="false" inframe="false" stylebar="true" location="1,3" size="300" window="100,100,600,400" />
<view id="1" visible="true" inframe="false" stylebar="false" location="0" size="335" window="100,100,600,400" />
<view id="4" toolbar="0 || 2020 , 2021 , 2022 , 66 || 2001 , 2003 , 2002 , 2004 , 2005 || 2040 , 2041 , 2042 , 2044 , 2043" visible="false" inframe="false" stylebar="true" location="1" size="291" window="100,100,600,400" />
<view id="2" visible="false" inframe="false" stylebar="true" location="1" size="309" window="100,100,250,400" />
<view id="16" visible="true" inframe="false" stylebar="false" location="2" size="315" window="262,79,500,500" />
<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="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="128" visible="false" inframe="true" stylebar="false" location="1" size="480" window="50,50,500,500" />
<view id="70" toolbar="0 || 2020 || 2021 || 2022" visible="false" inframe="true" stylebar="true" location="1" size="150" window="50,50,500,500" />
<view id="43" visible="false" inframe="false" stylebar="false" location="1" size="450" window="50,50,500,500" />
<view id="512" toolbar="0 | 1 501 5 19 , 67 | 2 15 45 18 , 7 37 | 514 3 9 , 13 44 , 47 | 16 | 551 550 11 , 22 , 23 , 55 56 57 , 12 | 69 | 510 511 , 512 513 | 533 531 , 534 532 , 522 523 , 537 536 , 535 | 521 520 | 36 , 38 49 560 | 571 30 29 570 31 33 | 17 | 540 40 41 42 , 27 28 35 , 6 , 502" visible="false" inframe="false" stylebar="true" location="1" size="1107" window="100,100,600,400" />
</views>
<toolbar show="false" items="0 39 | 1 501 67 , 5 19 , 72 | 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 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 25 52 60 61 | 40 41 42 , 27 28 35 , 6" position="1" help="false" />
<input show="false" cmd="true" top="true" />
<dockBar show="false" east="false" />
</perspective>
</perspectives>
<labelingStyle val="3"/>
<font size="24"/>
</gui>
<euclidianView>
<viewNumber viewNo="1"/>
<size width="958" height="335"/>
<coordSystem xZero="21.366929954971067" yZero="306.1723576448638" scale="37.454419172218444" yscale="35.646544705608"/>
<evSettings axes="true" grid="false" gridIsBold="false" pointCapturing="2" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="3" grid="10"/>
<axis id="0" show="true" label="" unitLabel="" tickStyle="1" showNumbers="true" tickDistance="1" tickExpression="" positiveAxis="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true" positiveAxis="true"/>
<grid distX="1" distY="0.25" distTheta="0.5235987755982988"/>
</euclidianView>
<euclidianView>
<viewNumber viewNo="2"/>
<size width="958" height="315"/>
<coordSystem xZero="489.4828340410063" yZero="33.20407625272902" scale="43.042987832800215" yscale="43.04298783280034"/>
<evSettings axes="false" grid="false" gridIsBold="false" pointCapturing="1" rightAngleStyle="1" checkboxSize="26" gridType="0"/>
<bgColor r="255" g="255" b="255"/>
<axesColor r="0" g="0" b="0"/>
<gridColor r="192" g="192" b="192"/>
<lineStyle axes="1" grid="0"/>
<axis id="0" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<axis id="1" show="false" label="" unitLabel="" tickStyle="1" showNumbers="true"/>
<grid distX="1" distY="0.25" distTheta="0.5235987755982988"/>
</euclidianView>
<kernel>
<continuous val="false"/>
<usePathAndRegionParameters val="true"/>
<decimals val="2"/>
<angleUnit val="degree"/>
<algebraStyle val="2" spreadsheet="0"/>
<coordStyle val="0"/>
<angleFromInvTrig val="false"/>
</kernel>
<scripting blocked="false" disabled="false"/>
<construction title="" author="" date="">
<element type="boolean" label="sorted">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelOffset x="11" y="114"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Sort"/>
</element>
<element type="numeric" label="seperation">
<value val="0.4"/>
<show object="false" label="true"/>
<objColor r="0" g="0" b="255" alpha="0.1"/>
<layer val="0"/>
<labelMode val="1"/>
<slider min="-5" max="5" absoluteScreenLocation="true" width="200" x="30" y="90" fixed="false" horizontal="true" showAlgebra="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<expression label ="listNx" exp="{5, 6, 7, 8, 9, 10}"/>
<element type="list" label="listNx">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="9"/>
<labelOffset x="16" y="63"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<ggbscript onUpdate="UpdateConstruction[]"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<ggbscript onUpdate="UpdateConstruction[]"/>
<selectedIndex val="5"/>
<comboBox val="true"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<caption val="n_x="/>
</element>
<command name="SelectedElement">
<input a0="listNx"/>
<output a0="nX"/>
</command>
<element type="numeric" label="nX">
<value val="10"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<command name="Sequence">
<input a0="Segment[(0, i), (20, i)]" a1="i" a2="seperation" a3="(20 * seperation)" a4="seperation"/>
<output a0="listGrid"/>
</command>
<element type="list" label="listGrid">
<show object="true" label="true" ev="8"/>
<objColor r="192" g="192" b="192" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="A"/>
</command>
<element type="point" label="A">
<show object="true" label="false" ev="4"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelOffset x="21" y="47"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="5" y="0.8" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="B"/>
</command>
<element type="point" label="B">
<show object="true" label="false" ev="4"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="C"/>
</command>
<element type="point" label="C">
<show object="true" label="false" ev="4"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelOffset x="-8" y="0"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="2.9999999999999982" y="0.8" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="D"/>
</command>
<element type="point" label="D">
<show object="true" label="false" ev="4"/>
<condition showObject="nX ≥ 4"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="2" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="E"/>
</command>
<element type="point" label="E">
<show object="true" label="false" ev="4"/>
<condition showObject="nX ≥ 5"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="11" y="0.8" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="F"/>
</command>
<element type="point" label="F">
<show object="false" label="false" ev="4"/>
<condition showObject="nX ≥ 6"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="16" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="G"/>
</command>
<element type="point" label="G">
<show object="true" label="false" ev="4"/>
<condition showObject="nX ≥ 7"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="11" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="H"/>
</command>
<element type="point" label="H">
<show object="true" label="false" ev="4"/>
<condition showObject="nX ≥ 8"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="12" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="I"/>
</command>
<element type="point" label="I">
<show object="true" label="false" ev="4"/>
<condition showObject="nX ≥ 9"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="5" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="J"/>
</command>
<element type="point" label="J">
<show object="true" label="false" ev="4"/>
<condition showObject="nX ≥ 10"/>
<objColor r="128" g="128" b="128" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="6" y="0.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<expression label="listDataX" exp="round(Take[x({A, B, C, D, E, F, G, H, I, J}), 1, nX])" />
<element type="list" label="listDataX">
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Sort">
<input a0="listDataX"/>
<output a0="listDataXsorted"/>
</command>
<element type="list" label="listDataXsorted">
<objColor r="0" g="100" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Mean">
<input a0="listDataX"/>
<output a0="meanX"/>
</command>
<element type="numeric" label="meanX">
<value val="7.4"/>
<objColor r="0" g="0" b="255" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<element type="boolean" label="box1">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelOffset x="11" y="157"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Range of set y"/>
</element>
<element type="boolean" label="box2">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<layer val="0"/>
<labelOffset x="269" y="157"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="IQR of set y"/>
</element>
<element type="button" label="button1">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="0"/>
<labelOffset x="789" y="12"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="UpdateConstruction[] SetValue[K,listPositionY(1)] SetValue[L,listPositionY(2)] SetValue[M,listPositionY(3)] SetValue[N,listPositionY(4)] SetValue[O,listPositionY(5)] SetValue[P,listPositionY(6)] SetValue[Q,listPositionY(7)] SetValue[R,listPositionY(8)] SetValue[S,listPositionY(9)] SetValue[T,listPositionY(10)] SetValue[box1,false] SetValue[box2,false] SetValue[box3,false] SetValue[box4,false] SetValue[box5,false] SetValue[box6,false] SetValue[sorted,false]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Random data y"/>
</element>
<element type="boolean" label="box3">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="255" g="127" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="528" y="157"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Box plot of set y"/>
</element>
<element type="button" label="button2">
<show object="false" label="true"/>
<condition showObject="Max[listDataY] < 20"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelOffset x="789" y="83"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[K,K+(1,0)] SetValue[L,L+(1,0)] SetValue[M,M+(1,0)] SetValue[N,N+(1,0)] SetValue[O,O+(1,0)] SetValue[P,P+(1,0)] SetValue[Q,Q+(1,0)] SetValue[R,R+(1,0)] SetValue[S,S+(1,0)] SetValue[T,T+(1,0)] "/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Add 1 to all"/>
</element>
<element type="button" label="button3">
<show object="true" label="true"/>
<condition showObject="Min[listDataY] > 0"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelOffset x="789" y="119"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[K,K-(1,0)] SetValue[L,L-(1,0)] SetValue[M,M-(1,0)] SetValue[N,N-(1,0)] SetValue[O,O-(1,0)] SetValue[P,P-(1,0)] SetValue[Q,Q-(1,0)] SetValue[R,R-(1,0)] SetValue[S,S-(1,0)] SetValue[T,T-(1,0)]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Subtract 1 from all"/>
</element>
<command name="If">
<input a0="nX ≥ 11" a1="0.7" a2="If[nX ≥ 9, 0.85, 1]"/>
<output a0="scale"/>
</command>
<element type="numeric" label="scale">
<value val="0.85"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<command name="Median">
<input a0="listDataX"/>
<output a0="medianX"/>
</command>
<element type="numeric" label="medianX">
<value val="5.5"/>
<objColor r="255" g="127" b="0" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<command name="Ray">
<input a0="(0, 0)" a1="(1, 0)"/>
<output a0="b"/>
</command>
<element type="ray" label="b">
<show object="false" label="false" ev="7"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<coords x="0" y="1" z="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<outlyingIntersections val="false"/>
<keepTypeOnTransform val="true"/>
</element>
<command name="Mode">
<input a0="listDataX"/>
<output a0="listModeX"/>
</command>
<element type="list" label="listModeX">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<element type="button" label="button0">
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="8"/>
<labelOffset x="877" y="130"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[lang,If[lang==1,2,1]] RunClickScript[buttonLang]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<caption val="中文"/>
</element>
<element type="button" label="buttonLang">
<show object="false" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="8"/>
<labelOffset x="749" y="130"/>
<labelMode val="0"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetCaption[button0,If[lang==1,"ENG","中文"]] SetCaption[listNx,If[lang==1,"數據x數目=","n_x="]] SetCaption[listNy,If[lang==1,"數據y數目=","n_y="]] SetCaption[sorted,If[lang==1,"排序","Sort"]] SetCaption[box1,If[lang==1,"y的分佈域","Range of set y"]] SetCaption[box2,If[lang==1,"y的四分位數間距","IQR of set y"]] SetCaption[box3,If[lang==1,"y的框線圖","Box plot of set y"]] SetCaption[box4,If[lang==1,"x的分佈域","Range of set x"]] SetCaption[box5,If[lang==1,"x的四分位數間距","IQR of set x"]] SetCaption[box6,If[lang==1,"x的框線圖","Box plot of set x"]] SetCaption[button1,If[lang==1,"隨機數據y","Random data y"]] SetCaption[buttonSet1,If[lang==1,"設y為x","Set y as x"]] SetCaption[button2,If[lang==1,"y所有數據加1","Add 1 to all"]] SetCaption[button3,If[lang==1,"y所有數據減1","Subtract 1 from all"]] SetCaption[button4,If[lang==1,"隨機數據x","Random data x"]] SetCaption[buttonSet2,If[lang==1,"設x為y","Set x as y"]] SetCaption[button5,If[lang==1,"x所有數據加1","Add 1 to all"]] SetCaption[button6,If[lang==1,"x所有數據減1","Subtract 1 from all"]] "/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
</element>
<element type="numeric" label="lang">
<value val="2"/>
<symbolic val="true" />
<show object="false" label="true"/>
<objColor r="0" g="0" b="0" alpha="0.1"/>
<layer val="8"/>
<labelMode val="1"/>
<animation step="1" speed="1" type="0" playing="false"/>
</element>
<command name="Sequence">
<input a0="Random[0, 20]" a1="i" a2="1" a3="nX"/>
<output a0="listRandX"/>
</command>
<element type="list" label="listRandX">
<objColor r="255" g="0" b="255" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Frequency">
<input a0="listRandX"/>
<output a0="listFreqX"/>
</command>
<element type="list" label="listFreqX">
<objColor r="255" g="0" b="255" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Sort">
<input a0="listRandX"/>
<output a0="listRandSortX"/>
</command>
<element type="list" label="listRandSortX">
<objColor r="255" g="0" b="255" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Flatten">
<input a0="Zip[Sequence[(seperation * i), i, 1, k], k, listFreqX]"/>
<output a0="listHeightX"/>
</command>
<element type="list" label="listHeightX">
<objColor r="255" g="0" b="255" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Shuffle">
<input a0="Zip[(h, k), h, listRandSortX, k, listHeightX]"/>
<output a0="listPositionX"/>
</command>
<element type="list" label="listPositionX">
<show object="false" label="true" ev="4"/>
<objColor r="255" g="0" b="255" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="8"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="K"/>
</command>
<element type="point" label="K">
<show object="true" label="false" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelOffset x="69" y="-40"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="5" y="4.800000000000001" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="L"/>
</command>
<element type="point" label="L">
<show object="true" label="false" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelOffset x="19" y="-18"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3.000000000000007" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="M"/>
</command>
<element type="point" label="M">
<show object="true" label="false" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="3.000000000000007" y="4.800000000000001" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="N"/>
</command>
<element type="point" label="N">
<show object="true" label="false" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="1.999999999999993" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="O"/>
</command>
<element type="point" label="O">
<show object="true" label="false" ev="4"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="11.000000000000014" y="4.800000000000001" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="P"/>
</command>
<element type="point" label="P">
<show object="true" label="false" ev="4"/>
<condition showObject="nY ≥ 6"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="16.000000000000014" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="Q"/>
</command>
<element type="point" label="Q">
<show object="true" label="false" ev="4"/>
<condition showObject="nY ≥ 7"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="11.000000000000014" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="R"/>
</command>
<element type="point" label="R">
<show object="true" label="false" ev="4"/>
<condition showObject="nY ≥ 8"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="11.999999999999993" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="S"/>
</command>
<element type="point" label="S">
<show object="true" label="false" ev="4"/>
<condition showObject="nY ≥ 9"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="5" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<command name="Point">
<input a0="listGrid"/>
<output a0="T"/>
</command>
<element type="point" label="T">
<show object="true" label="false" ev="4"/>
<condition showObject="nY ≥ 10"/>
<objColor r="125" g="125" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<animation step="0.1" speed="1" type="1" playing="false"/>
<coords x="6.000000000000014" y="4.4" z="1"/>
<pointSize val="6"/>
<pointStyle val="0"/>
</element>
<expression label ="listNy" exp="{5, 6, 7, 8, 9, 10}"/>
<element type="list" label="listNy">
<show object="true" label="true" ev="11"/>
<objColor r="127" g="0" b="255" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="8"/>
<labelOffset x="18" y="13"/>
<labelMode val="3"/>
<animation step="1" speed="1" type="0" playing="false"/>
<ggbscript onUpdate="UpdateConstruction[]"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<ggbscript onUpdate="UpdateConstruction[]"/>
<selectedIndex val="5"/>
<comboBox val="true"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<symbolic val="true" />
<caption val="n_y="/>
</element>
<command name="SelectedElement">
<input a0="listNy"/>
<output a0="nY"/>
</command>
<element type="numeric" label="nY">
<value val="10"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<command name="Sequence">
<input a0="Random[0, 20]" a1="i" a2="1" a3="nY"/>
<output a0="listRandY"/>
</command>
<element type="list" label="listRandY">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
<symbolic val="true" />
</element>
<command name="Sort">
<input a0="listRandY"/>
<output a0="listRandSortY"/>
</command>
<element type="list" label="listRandSortY">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Frequency">
<input a0="listRandY"/>
<output a0="listFreqY"/>
</command>
<element type="list" label="listFreqY">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<expression label="listDataY" exp="round(Take[x({K, L, M, N, O, P, Q, R, S, T}), 1, nY])" />
<element type="list" label="listDataY">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Sort">
<input a0="listDataY"/>
<output a0="listDataYsorted"/>
</command>
<element type="list" label="listDataYsorted">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Flatten">
<input a0="Zip[Sequence[(seperation * (i + 10)), i, 1, k], k, listFreqY]"/>
<output a0="listHeightY"/>
</command>
<element type="list" label="listHeightY">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Shuffle">
<input a0="Zip[(h, k), h, listRandSortY, k, listHeightY]"/>
<output a0="listPositionY"/>
</command>
<element type="list" label="listPositionY">
<show object="false" label="false" ev="11"/>
<objColor r="0" g="100" b="0" alpha="0"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<layer val="8"/>
<labelMode val="0"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<command name="Mean">
<input a0="listDataY"/>
<output a0="meanY"/>
</command>
<element type="numeric" label="meanY">
<value val="7.4"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<command name="Median">
<input a0="listDataY"/>
<output a0="medianY"/>
</command>
<element type="numeric" label="medianY">
<value val="5.5"/>
<symbolic val="true" />
<objColor r="0" g="0" b="0" alpha="0.1"/>
<selectionAllowed val="false"/>
</element>
<command name="Mode">
<input a0="listDataY"/>
<output a0="listModeY"/>
</command>
<element type="list" label="listModeY">
<objColor r="0" g="100" b="0" alpha="0.1"/>
<bgColor r="255" g="255" b="255" alpha="255"/>
<lineStyle thickness="2" type="0" typeHidden="1"/>
<pointSize val="3"/>
<pointStyle val="-1"/>
</element>
<expression label="textDataY" exp=""\text{" + (LaTeX[If[lang ≟ 1, "數據y", "Data set \textit{y}"]]) + ":} " + (LaTeX[TableText[{If[sorted, listDataYsorted, listDataY]}, "c"]]) + """ />
<element type="text" label="textDataY">
<show object="true" label="true" ev="11"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="235" y="12"/>
</element>
<expression label="textDataX" exp=""\text{" + (LaTeX[If[lang ≟ 1, "數據x", "Data set \textit{x}"]]) + ":} " + (LaTeX[TableText[{If[sorted, listDataXsorted, listDataX]}, "c"]]) + """ />
<element type="text" label="textDataX">
<show object="true" label="true" ev="11"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<absoluteScreenLocation x="235" y="67"/>
</element>
<element type="boolean" label="box4">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="11" y="233"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Range of set x"/>
</element>
<element type="boolean" label="box5">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="269" y="233"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="IQR of set x"/>
</element>
<element type="boolean" label="box6">
<value val="false"/>
<show object="true" label="true" ev="3"/>
<objColor r="255" g="127" b="0" alpha="0"/>
<layer val="0"/>
<labelOffset x="528" y="233"/>
<labelMode val="3"/>
<checkbox fixed="true"/>
<caption val="Box plot of set x"/>
</element>
<element type="button" label="button4">
<show object="true" label="true"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="255" g="255" b="0" alpha="255"/>
<layer val="0"/>
<labelOffset x="789" y="164"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="UpdateConstruction[] SetValue[A,listPositionX(1)] SetValue[B,listPositionX(2)] SetValue[C,listPositionX(3)] SetValue[D,listPositionX(4)] SetValue[E,listPositionX(5)] SetValue[F,listPositionX(6)] SetValue[G,listPositionX(7)] SetValue[H,listPositionX(8)] SetValue[I,listPositionX(9)] SetValue[J,listPositionX(10)] SetValue[box1,false] SetValue[box2,false] SetValue[box3,false] SetValue[box4,false] SetValue[box5,false] SetValue[box6,false] SetValue[sorted,false]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Random data x"/>
</element>
<element type="button" label="button5">
<show object="true" label="true"/>
<condition showObject="Max[listDataX] < 20"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelOffset x="789" y="235"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[A,A+(1,0)] SetValue[B,B+(1,0)] SetValue[C,C+(1,0)] SetValue[D,D+(1,0)] SetValue[E,E+(1,0)] SetValue[F,F+(1,0)] SetValue[G,G+(1,0)] SetValue[H,H+(1,0)] SetValue[I,I+(1,0)] SetValue[J,J+(1,0)]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Add 1 to all"/>
</element>
<element type="button" label="button6">
<show object="true" label="true"/>
<condition showObject="Min[listDataX] > 0"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="153" g="255" b="255" alpha="255"/>
<layer val="0"/>
<labelOffset x="789" y="271"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[A,A-(1,0)] SetValue[B,B-(1,0)] SetValue[C,C-(1,0)] SetValue[D,D-(1,0)] SetValue[E,E-(1,0)] SetValue[F,F-(1,0)] SetValue[G,G-(1,0)] SetValue[H,H-(1,0)] SetValue[I,I-(1,0)] SetValue[J,J-(1,0)]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Subtract 1 from all"/>
</element>
<element type="button" label="buttonSet1">
<show object="true" label="true"/>
<condition showObject="nX ≟ nY"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="191" g="255" b="0" alpha="255"/>
<layer val="8"/>
<labelOffset x="789" y="48"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[K,A+(0,4)] SetValue[L,B+(0,4)] SetValue[M,C+(0,4)] SetValue[N,D+(0,4)] SetValue[O,E+(0,4)] SetValue[P,F+(0,4)] SetValue[Q,G+(0,4)] SetValue[R,H+(0,4)] SetValue[S,I+(0,4)] SetValue[T,J+(0,4)]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Set y as x"/>
</element>
<element type="button" label="buttonSet2">
<show object="true" label="true"/>
<condition showObject="nX ≟ nY"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<bgColor r="191" g="255" b="0" alpha="255"/>
<layer val="8"/>
<labelOffset x="789" y="199"/>
<labelMode val="3"/>
<fixed val="true"/>
<auxiliary val="true"/>
<ggbscript val="SetValue[A,K-(0,4)] SetValue[B,L-(0,4)] SetValue[C,M-(0,4)] SetValue[D,N-(0,4)] SetValue[E,O-(0,4)] SetValue[F,P-(0,4)] SetValue[G,Q-(0,4)] SetValue[H,R-(0,4)] SetValue[I,S-(0,4)] SetValue[J,T-(0,4)]"/>
<font serif="false" sizeM="1.4" size="10" style="0"/>
<dimensions width="160" height="30" />
<caption val="Set x as y"/>
</element>
<expression label="textRangeY" exp=""" + (LaTeX[Max[listDataY] - Min[listDataY]]) + """ />
<element type="text" label="textRangeY">
<show object="true" label="true" ev="11"/>
<condition showObject="box1"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<startPoint x="-9.929071937922542" y="-3.7718766717902557" z="1"/>
</element>
<expression label="textRangeX" exp=""" + (LaTeX[Max[listDataX] - Min[listDataX]]) + """ />
<element type="text" label="textRangeX">
<show object="true" label="true" ev="11"/>
<condition showObject="box4"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<startPoint x="-9.929071937922542" y="-5.57943257633536" z="1"/>
</element>
<expression label="textIQRY" exp=""" + (LaTeX[Q3[listDataY] - Q1[listDataY]]) + """ />
<element type="text" label="textIQRY">
<show object="false" label="true" ev="11"/>
<condition showObject="box2"/>
<objColor r="127" g="0" b="255" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<startPoint x="-3.920083470469846" y="-3.7718766717902557" z="1"/>
</element>
<expression label="textIQRX" exp=""" + (LaTeX[Q3[listDataX] - Q1[listDataX]]) + """ />
<element type="text" label="textIQRX">
<show object="true" label="true" ev="11"/>
<condition showObject="box5"/>
<objColor r="0" g="0" b="0" alpha="0"/>
<layer val="9"/>
<labelMode val="0"/>
<selectionAllowed val="false"/>
<isLaTeX val="true"/>
<font serif="true" sizeM="1" size="0" style="1"/>
<startPoint x="-3.920083470469846" y="-5.57943257633536" z="1"/>
</element>
<command name="BoxPlot">
<input a0="5.4" a1="1" a2="listDataY"/>
<output a0="boxplotY"/>
</command>
<element type="numeric" label="boxplotY">
<value val="5.5"/>
<symbolic val="true" />
<show object="true" label="false"/>
<condition showObject="box3"/>
<objColor r="255" g="127" b="0" alpha="0.5"/>
<layer val="8"/>
<labelMode val="1"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<selectionAllowed val="false"/>
</element>
<command name="BoxPlot">
<input a0="1.4" a1="1" a2="listDataX"/>
<output a0="boxplotX"/>
</command>
<element type="numeric" label="boxplotX">
<value val="5.5"/>
<show object="true" label="false"/>
<condition showObject="box6"/>
<objColor r="255" g="127" b="0" alpha="0.5"/>
<layer val="8"/>
<labelMode val="1"/>
<lineStyle thickness="5" type="0" typeHidden="1"/>
<selectionAllowed val="false"/>
</element>
</construction>
</geogebra>