Identifying Outliers
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This example demonstrates how to identify points that are higher or lower than expected (outliers) in a scatter plot. It involves core math concepts like scatter plots, conditional probability, and geometric constructions. It uses GeoGebra commands and objects such as RandomElement, Append, Shuffle, If, Point, Polygon, and Circle. Suitable for middle school and above students for practicing probability, statistics, and data analysis.
GeoGebra Commands & Parameters
RandomElement(adjectives) → adjectiveAppend("Choose one", choices) → userinputShuffle(letters) → shuffledletters, {"\text{B}", "\text{C}", "\text{A}", "\text{D}"}Shuffle(choices) → shufflechoices, {"\text{B}", "\text{C}", "\text{D}", "\text{A}"}If(adjective ≟ "\text{higher}", SelectedElement[userinput] ≟ label2, SelectedElement[userinput] ≟ label3) → correctShuffle(l1) → shuffledpoints, {(59.5292933895907, 43.7178798803601), (39.6507044269599, 24.4145786453339), (12.5298143475332, 13.685721792114), (56.8145220369809, 46.4326512329699), (76.1572679243259, 45.7539583948174), (19.9954355672102, 27.259578555163), (37.1448402912256, 33.722074006633), (44.7677241597748, 40.4940888991359), (63.9407968375817, 43.7178798803601), (71.0670716381825, 46.9416708615842), (59.6989665991288, 48.129383328351), (44.1851252440031, 35.9892844151546), (64.9588360948104, 51.5228475191133), (50.6287758787486, 44.2228380039961), (81.5868106295455, 57.2917366434091), (16.5012928873186, 15.2264101476412), (81.9261570486217, 53.8982724526469), (32.491092610576, 21.6700607823868), (50.5366132840707, 32.1801016317683), (57.1538684560571, 39.136703222831), (73.272823362178, 56.6130438052567), (24.4961927489473, 16.5390056473116), (57.3235416655953, 33.7071605176114), (31.0241941871876, 36.5916050797593), (12.8691607666094, 19.793957335486), (68.3523002855726, 51.5228475191133), (34.0783119588736, 27.5989249742393), (80, 50), (64.2801432566579, 38.9670300132929), (70.5563621010172, 54.962255728572), (6.76092522323731, 17.0791859828763), (28.3094228345778, 27.9382713933155), (44.7677241597748, 29.6350034886967), (75.6482482957116, 52.0318671477276), (51.045632912685, 37.7793175465261), (28.1397496250397, 32.0104284222302), (13.3781803952238, 24.0357875739389), (7.60929127092788, 11.1406236490423), (24.5766122247393, 24.0357875739389)}Point(yAxis) → EPolygon(E, F, I, J) → q1, e, f, i, jCircle(K_2, 7) → cCircle(L_2, 7) → dIf(adjective ≟ "\text{higher", label2, label3) → letter