Entering Values in Contingency Tables (Absolute Frequencies) Interactive Practic

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2025-01-22 21:26

In collections Kreuztabellen

This interactive GeoGebra example is designed for middle school students (grades 7-8) to practice entering absolute frequencies into contingency tables and fourfold tables. It demonstrates how to organize categorical data into a cross-tabulation format, reinforcing the statistical concept of frequency distribution and joint classification. The construction uses GeoGebra commands such as Join, Element, Textfield, Sequence, and Text to create multiple table objects (Table01 to Table05) and input fields (e.g., input22, input23), along with random question generation (randomQuestions) and a validation button (btnValidate) that provides immediate feedback. The activity tracks attempt and correct counts to support formative assessment. It is suitable for classroom exercises or self-study in statistics and probability, helping students master the correct placement of absolute frequencies in contingency tables.

GeoGebra Commands & Parameters

Join({{1}, Shuffle[{2, 3, 4}], {5}}) → randomQuestions
Element(randomQuestions, Mod[questionCount - 1, Length[randomQuestions]] + 1) → randomQuestion
Textfield(input) → inputBox
Sequence(Sequence[PosTable + (Sum[ListSpalte, k], (-Sum[ListZeile, m])), k, 0, 4], m, 0, 4) → TablePosMat, {{(0.14, 4.12), (3.14, 4.12), (6.9399999999999995, 4.12), (10.74, 4.12), (13.24, 4.12)}, {(0.14, 3.12), (3.14, 3.12), (6.9399999999999995, 3.12), (10.74, 3.12), (13.24, 3.12)}, {(0.14, 2.12), (3.14, 2.12), (6.9399999999999995, 2.12), (10.74, 2.12), (13.24, 2.12)}, {(0.14, 1.12), (3.14, 1.12), (6.9399999999999995, 1.12), (10.74, 1.12), (13.24, 1.12)}, {(0.14, 0.1200000000000001), (3.14, 0.1200000000000001), (6.9399999999999995, 0.1200000000000001), (10.74, 0.1200000000000001), (13.24, 0.1200000000000001)}}
Textfield(input22) → InputBox22
Textfield(input23) → InputBox23
Textfield(input24) → InputBox24
Textfield(input32) → InputBox32
Textfield(input33) → InputBox33
Textfield(input34) → InputBox34
Textfield(input42) → InputBox42
Textfield(input43) → InputBox43
Textfield(input44) → InputBox44
Text((("\textsf{\bold{" * TableCapList12(randomQuestion)) * "\vphantom{g}}}"), Midpoint[TablePosMat(1, 2), TablePosMat(2, 2)], false, true, 1, 0) → TableCap12
Text((("\textsf{\bold{" * TableCapList13(randomQuestion)) * "\vphantom{g}}}"), Midpoint[TablePosMat(1, 3), TablePosMat(2, 3)], false, true, 1, 0) → TableCap13
Text("\textsf{\bold{Gesamt\vphantom{g}}}", Midpoint[TablePosMat(1, 4), TablePosMat(2, 4)], false, true, 1, 0) → TableCap14
Text((("\textsf{\bold{" * TableCapList21(randomQuestion)) * "\phantom{g}}}"), Midpoint[TablePosMat(2, 1), TablePosMat(3, 1)], false, true, 1, 0) → TableCap21
Text((("\textsf{\bold{" * TableCapList31(randomQuestion)) * "\phantom{g}}}"), Midpoint[TablePosMat(3, 1), TablePosMat(4, 1)], false, true, 1, 0) → TableCap31
Text("\textsf{\bold{Gesamt\phantom{g}}}", Midpoint[TablePosMat(4, 1), TablePosMat(5, 1)], false, true, 1, 0) → TableCap41
Join({Sequence[Segment[Corner[4] + (RasterPixMat * ((k * RasterStepXY), 0)), Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY))], k, 0, RasterMaxX / RasterStepXY], Sequence[Segment[Corner[4] + (RasterPixMat * (0, (k * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], k, 0, RasterMaxY / RasterStepXY]}) → RasterStrecken
Join({Sequence[Text[UnicodeToLetter[65 + k], Midpoint[Corner[4] + (RasterPixMat * ((k * RasterStepXY), RasterMaxY)), Corner[4] + (RasterPixMat * (((k + 1) * RasterStepXY), RasterMaxY))], false, true, 0, -1], k, 0, RasterMaxX / RasterStepXY - 1], Sequence[Text[("" * k), Midpoint[Corner[4] + (RasterPixMat * (RasterMaxX, ((k - 1) * RasterStepXY))), Corner[4] + (RasterPixMat * (RasterMaxX, (k * RasterStepXY)))], false, true, 1, 0], k, 1, RasterMaxY / RasterStepXY]}) → RasterBeschriftung
Sequence(Sequence[Corner[4] + (RasterPixMat * ((k * RasterStepXY), (m * RasterStepXY))), k, 0, RasterMaxX / RasterStepXY], m, 0, RasterMaxY / RasterStepXY) → RasterPunkte, {{(-0.3199999999999996, 10.179999999999977), (0.6820242914979755, 10.179999999999977), (1.6840485829959506, 10.179999999999977), (2.6860728744939264, 10.179999999999977), (3.688097165991901, 10.179999999999977), (4.690121457489877, 10.179999999999977), (5.692145748987852, 10.179999999999977), (6.694170040485827, 10.179999999999977), (7.6961943319838015, 10.179999999999977), (8.698218623481777, 10.179999999999977), (9.700242914979752, 10.179999999999977), (10.702267206477726, 10.179999999999977), (11.704291497975703, 10.179999999999977), (12.706315789473678, 10.179999999999977), (13.708340080971652, 10.179999999999977), (14.710364372469629, 10.179999999999977), (15.712388663967602, 10.179999999999977), (16.71441295546558, 10.179999999999977), (17.716437246963554, 10.179999999999977), (18.71846153846153, 10.179999999999977), (19.720485829959504, 10.179999999999977)}, {(-0.3199999999999996, 9.177493734335819), (0.6820242914979755, 9.177493734335819), (1.6840485829959506, 9.177493734335819), (2.6860728744939264, 9.177493734335819), (3.688097165991901, 9.177493734335819), (4.690121457489877, 9.177493734335819), (5.692145748987852, 9.177493734335819), (6.694170040485827, 9.177493734335819), (7.6961943319838015, 9.177493734335819), (8.698218623481777, 9.177493734335819), (9.700242914979752, 9.177493734335819), (10.702267206477726, 9.177493734335819), (11.704291497975703, 9.177493734335819), (12.706315789473678, 9.177493734335819), (13.708340080971652, 9.177493734335819), (14.710364372469629, 9.177493734335819), (15.712388663967602, 9.177493734335819), (16.71441295546558, 9.177493734335819), (17.716437246963554, 9.177493734335819), (18.71846153846153, 9.177493734335819), (19.720485829959504, 9.177493734335819)}, {(-0.3199999999999996, 8.174987468671661), (0.6820242914979755, 8.174987468671661), (1.6840485829959506, 8.174987468671661), (2.6860728744939264, 8.174987468671661), (3.688097165991901, 8.174987468671661), (4.690121457489877, 8.174987468671661), (5.692145748987852, 8.174987468671661), (6.694170040485827, 8.174987468671661), (7.6961943319838015, 8.174987468671661), (8.698218623481777, 8.174987468671661), (9.700242914979752, 8.174987468671661), (10.702267206477726, 8.174987468671661), (11.704291497975703, 8.174987468671661), (12.706315789473678, 8.174987468671661), (13.708340080971652, 8.174987468671661), (14.710364372469629, 8.174987468671661), (15.712388663967602, 8.174987468671661), (16.71441295546558, 8.174987468671661), (17.716437246963554, 8.174987468671661), (18.71846153846153, 8.174987468671661), (19.720485829959504, 8.174987468671661)}, {(-0.3199999999999996, 7.172481203007503), (0.6820242914979755, 7.172481203007503), (1.6840485829959506, 7.172481203007503), (2.6860728744939264, 7.172481203007503), (3.688097165991901, 7.172481203007503), (4.690121457489877, 7.172481203007503), (5.692145748987852, 7.172481203007503), (6.694170040485827, 7.172481203007503), (7.6961943319838015, 7.172481203007503), (8.698218623481777, 7.172481203007503), (9.700242914979752, 7.172481203007503), (10.702267206477726, 7.172481203007503), (11.704291497975703, 7.172481203007503), (12.706315789473678, 7.172481203007503), (13.708340080971652, 7.172481203007503), (14.710364372469629, 7.172481203007503), (15.712388663967602, 7.172481203007503), (16.71441295546558, 7.172481203007503), (17.716437246963554, 7.172481203007503), (18.71846153846153, 7.172481203007503), (19.720485829959504, 7.172481203007503)}, {(-0.3199999999999996, 6.169974937343345), (0.6820242914979755, 6.169974937343345), (1.6840485829959506, 6.169974937343345), (2.6860728744939264, 6.169974937343345), (3.688097165991901, 6.169974937343345), (4.690121457489877, 6.169974937343345), (5.692145748987852, 6.169974937343345), (6.694170040485827, 6.169974937343345), (7.6961943319838015, 6.169974937343345), (8.698218623481777, 6.169974937343345), (9.700242914979752, 6.169974937343345), (10.702267206477726, 6.169974937343345), (11.704291497975703, 6.169974937343345), (12.706315789473678, 6.169974937343345), (13.708340080971652, 6.169974937343345), (14.710364372469629, 6.169974937343345), (15.712388663967602, 6.169974937343345), (16.71441295546558, 6.169974937343345), (17.716437246963554, 6.169974937343345), (18.71846153846153, 6.169974937343345), (19.720485829959504, 6.169974937343345)}, {(-0.3199999999999996, 5.167468671679187), (0.6820242914979755, 5.167468671679187), (1.6840485829959506, 5.167468671679187), (2.6860728744939264, 5.167468671679187), (3.688097165991901, 5.167468671679187), (4.690121457489877, 5.167468671679187), (5.692145748987852, 5.167468671679187), (6.694170040485827, 5.167468671679187), (7.6961943319838015, 5.167468671679187), (8.698218623481777, 5.167468671679187), (9.700242914979752, 5.167468671679187), (10.702267206477726, 5.167468671679187), (11.704291497975703, 5.167468671679187), (12.706315789473678, 5.167468671679187), (13.708340080971652, 5.167468671679187), (14.710364372469629, 5.167468671679187), (15.712388663967602, 5.167468671679187), (16.71441295546558, 5.167468671679187), (17.716437246963554, 5.167468671679187), (18.71846153846153, 5.167468671679187), (19.720485829959504, 5.167468671679187)}, {(-0.3199999999999996, 4.164962406015029), (0.6820242914979755, 4.164962406015029), (1.6840485829959506, 4.164962406015029), (2.6860728744939264, 4.164962406015029), (3.688097165991901, 4.164962406015029), (4.690121457489877, 4.164962406015029), (5.692145748987852, 4.164962406015029), (6.694170040485827, 4.164962406015029), (7.6961943319838015, 4.164962406015029), (8.698218623481777, 4.164962406015029), (9.700242914979752, 4.164962406015029), (10.702267206477726, 4.164962406015029), (11.704291497975703, 4.164962406015029), (12.706315789473678, 4.164962406015029), (13.708340080971652, 4.164962406015029), (14.710364372469629, 4.164962406015029), (15.712388663967602, 4.164962406015029), (16.71441295546558, 4.164962406015029), (17.716437246963554, 4.164962406015029), (18.71846153846153, 4.164962406015029), (19.720485829959504, 4.164962406015029)}, {(-0.3199999999999996, 3.162456140350871), (0.6820242914979755, 3.162456140350871), (1.6840485829959506, 3.162456140350871), (2.6860728744939264, 3.162456140350871), (3.688097165991901, 3.162456140350871), (4.690121457489877, 3.162456140350871), (5.692145748987852, 3.162456140350871), (6.694170040485827, 3.162456140350871), (7.6961943319838015, 3.162456140350871), (8.698218623481777, 3.162456140350871), (9.700242914979752, 3.162456140350871), (10.702267206477726, 3.162456140350871), (11.704291497975703, 3.162456140350871), (12.706315789473678, 3.162456140350871), (13.708340080971652, 3.162456140350871), (14.710364372469629, 3.162456140350871), (15.712388663967602, 3.162456140350871), (16.71441295546558, 3.162456140350871), (17.716437246963554, 3.162456140350871), (18.71846153846153, 3.162456140350871), (19.720485829959504, 3.162456140350871)}, {(-0.3199999999999996, 2.1599498746867134), (0.6820242914979755, 2.1599498746867134), (1.6840485829959506, 2.1599498746867134), (2.6860728744939264, 2.1599498746867134), (3.688097165991901, 2.1599498746867134), (4.690121457489877, 2.1599498746867134), (5.692145748987852, 2.1599498746867134), (6.694170040485827, 2.1599498746867134), (7.6961943319838015, 2.1599498746867134), (8.698218623481777, 2.1599498746867134), (9.700242914979752, 2.1599498746867134), (10.702267206477726, 2.1599498746867134), (11.704291497975703, 2.1599498746867134), (12.706315789473678, 2.1599498746867134), (13.708340080971652, 2.1599498746867134), (14.710364372469629, 2.1599498746867134), (15.712388663967602, 2.1599498746867134), (16.71441295546558, 2.1599498746867134), (17.716437246963554, 2.1599498746867134), (18.71846153846153, 2.1599498746867134), (19.720485829959504, 2.1599498746867134)}, {(-0.3199999999999996, 1.1574436090225557), (0.6820242914979755, 1.1574436090225557), (1.6840485829959506, 1.1574436090225557), (2.6860728744939264, 1.1574436090225557), (3.688097165991901, 1.1574436090225557), (4.690121457489877, 1.1574436090225557), (5.692145748987852, 1.1574436090225557), (6.694170040485827, 1.1574436090225557), (7.6961943319838015, 1.1574436090225557), (8.698218623481777, 1.1574436090225557), (9.700242914979752, 1.1574436090225557), (10.702267206477726, 1.1574436090225557), (11.704291497975703, 1.1574436090225557), (12.706315789473678, 1.1574436090225557), (13.708340080971652, 1.1574436090225557), (14.710364372469629, 1.1574436090225557), (15.712388663967602, 1.1574436090225557), (16.71441295546558, 1.1574436090225557), (17.716437246963554, 1.1574436090225557), (18.71846153846153, 1.1574436090225557), (19.720485829959504, 1.1574436090225557)}, {(-0.3199999999999996, 0.15493734335839804), (0.6820242914979755, 0.15493734335839804), (1.6840485829959506, 0.15493734335839804), (2.6860728744939264, 0.15493734335839804), (3.688097165991901, 0.15493734335839804), (4.690121457489877, 0.15493734335839804), (5.692145748987852, 0.15493734335839804), (6.694170040485827, 0.15493734335839804), (7.6961943319838015, 0.15493734335839804), (8.698218623481777, 0.15493734335839804), (9.700242914979752, 0.15493734335839804), (10.702267206477726, 0.15493734335839804), (11.704291497975703, 0.15493734335839804), (12.706315789473678, 0.15493734335839804), (13.708340080971652, 0.15493734335839804), (14.710364372469629, 0.15493734335839804), (15.712388663967602, 0.15493734335839804), (16.71441295546558, 0.15493734335839804), (17.716437246963554, 0.15493734335839804), (18.71846153846153, 0.15493734335839804), (19.720485829959504, 0.15493734335839804)}, {(-0.3199999999999996, -0.8475689223057596), (0.6820242914979755, -0.8475689223057596), (1.6840485829959506, -0.8475689223057596), (2.6860728744939264, -0.8475689223057596), (3.688097165991901, -0.8475689223057596), (4.690121457489877, -0.8475689223057596), (5.692145748987852, -0.8475689223057596), (6.694170040485827, -0.8475689223057596), (7.6961943319838015, -0.8475689223057596), (8.698218623481777, -0.8475689223057596), (9.700242914979752, -0.8475689223057596), (10.702267206477726, -0.8475689223057596), (11.704291497975703, -0.8475689223057596), (12.706315789473678, -0.8475689223057596), (13.708340080971652, -0.8475689223057596), (14.710364372469629, -0.8475689223057596), (15.712388663967602, -0.8475689223057596), (16.71441295546558, -0.8475689223057596), (17.716437246963554, -0.8475689223057596), (18.71846153846153, -0.8475689223057596), (19.720485829959504, -0.8475689223057596)}, {(-0.3199999999999996, -1.850075187969919), (0.6820242914979755, -1.850075187969919), (1.6840485829959506, -1.850075187969919), (2.6860728744939264, -1.850075187969919), (3.688097165991901, -1.850075187969919), (4.690121457489877, -1.850075187969919), (5.692145748987852, -1.850075187969919), (6.694170040485827, -1.850075187969919), (7.6961943319838015, -1.850075187969919), (8.698218623481777, -1.850075187969919), (9.700242914979752, -1.850075187969919), (10.702267206477726, -1.850075187969919), (11.704291497975703, -1.850075187969919), (12.706315789473678, -1.850075187969919), (13.708340080971652, -1.850075187969919), (14.710364372469629, -1.850075187969919), (15.712388663967602, -1.850075187969919), (16.71441295546558, -1.850075187969919), (17.716437246963554, -1.850075187969919), (18.71846153846153, -1.850075187969919), (19.720485829959504, -1.850075187969919)}, {(-0.3199999999999996, -2.852581453634077), (0.6820242914979755, -2.852581453634077), (1.6840485829959506, -2.852581453634077), (2.6860728744939264, -2.852581453634077), (3.688097165991901, -2.852581453634077), (4.690121457489877, -2.852581453634077), (5.692145748987852, -2.852581453634077), (6.694170040485827, -2.852581453634077), (7.6961943319838015, -2.852581453634077), (8.698218623481777, -2.852581453634077), (9.700242914979752, 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(12.706315789473678, -3.8550877192982345), (13.708340080971652, -3.8550877192982345), (14.710364372469629, -3.8550877192982345), (15.712388663967602, -3.8550877192982345), (16.71441295546558, -3.8550877192982345), (17.716437246963554, -3.8550877192982345), (18.71846153846153, -3.8550877192982345), (19.720485829959504, -3.8550877192982345)}, {(-0.3199999999999996, -4.857593984962392), (0.6820242914979755, -4.857593984962392), (1.6840485829959506, -4.857593984962392), (2.6860728744939264, -4.857593984962392), (3.688097165991901, -4.857593984962392), (4.690121457489877, -4.857593984962392), (5.692145748987852, -4.857593984962392), (6.694170040485827, -4.857593984962392), (7.6961943319838015, -4.857593984962392), (8.698218623481777, -4.857593984962392), (9.700242914979752, -4.857593984962392), (10.702267206477726, -4.857593984962392), (11.704291497975703, -4.857593984962392), (12.706315789473678, -4.857593984962392), (13.708340080971652, -4.857593984962392), (14.710364372469629, 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AI Drawing Prompt Reference

This is an interactive table graph for practicing entering absolute frequencies into contingency tables. The graph includes multiple tables with rows and columns to display categorical data. Users can input absolute frequency values into cells via input boxes. The graph also features a random question generator that produces a statistical question at random, and a validation button that provides immediate feedback. It also includes attempt and correct counts for formative assessment. The overall design is suitable for middle school students to practice data organization and frequency distribution concepts in statistics and probability.

The prompt above was compiled from the original drawing commands and is for reference only.