Normal Distribution Spotlight
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This example demonstrates the normal distribution curve and its key features, such as the mean line, median line, and standard deviation. It involves core mathematical concepts including normal distribution, hypothesis testing, linear functions, median line, dilation, and interest calculation. The construction highlights GeoGebra commands and objects like Corner, Normal, Vector, Midpoint, Point, Max, Min. Suitable for high school and above learners to understand the properties and applications of the normal distribution.
GeoGebra Commands & Parameters
Corner(1, 3) → C_1Normal(x(A), abs(SD1), x, false) → fVector(A, C) → uVector(A, B) → vMidpoint(A, B) → DMidpoint(A, C) → EPoint(xAxis) → FVector(M, L) → dNormal(0, 1, $A2 + (0.01 * B$1), true) → B2Normal(0, 1, $A2 + (0.01 * C$1), true) → C2Normal(0, 1, $A2 + (0.01 * D$1), true) → D2Normal(0, 1, $A2 + (0.01 * E$1), true) → E2Normal(0, 1, $A2 + (0.01 * F$1), true) → F2Normal(0, 1, $A2 + (0.01 * G$1), true) → G2Normal(0, 1, $A2 + (0.01 * H$1), true) → H2Normal(0, 1, $A2 + (0.01 * I$1), true) → I2Normal(0, 1, $A2 + (0.01 * J$1), true) → J2Normal(0, 1, $A2 + (0.01 * K$1), true) → K2Normal(0, 1, $A3 + (0.01 * B$1), true) → B3Normal(0, 1, $A3 + (0.01 * C$1), true) → bNormal(0, 1, $A3 + (0.01 * D$1), true) → D3Normal(0, 1, $A3 + (0.01 * E$1), true) → E3Normal(0, 1, $A3 + (0.01 * F$1), true) → F3Normal(0, 1, $A3 + (0.01 * G$1), true) → G3Normal(0, 1, $A3 + (0.01 * H$1), true) → H3Normal(0, 1, $A3 + (0.01 * I$1), true) → I3Normal(0, 1, $A3 + (0.01 * J$1), true) → J3Normal(0, 1, $A3 + (0.01 * K$1), true) → K3Normal(0, 1, $A4 + (0.01 * B$1), true) → B4Normal(0, 1, $A4 + (0.01 * C$1), true) → C4Normal(0, 1, $A4 + (0.01 * D$1), true) → D4Normal(0, 1, $A4 + (0.01 * E$1), true) → E4Normal(0, 1, $A4 + (0.01 * F$1), true) → F4Normal(0, 1, $A4 + (0.01 * G$1), true) → G4Normal(0, 1, $A4 + (0.01 * H$1), true) → H4Normal(0, 1, $A4 + (0.01 * I$1), true) → I4Normal(0, 1, $A4 + (0.01 * J$1), true) → J4Normal(0, 1, $A4 + (0.01 * K$1), true) → K4Normal(0, 1, $A5 + (0.01 * B$1), true) → B5Normal(0, 1, $A5 + (0.01 * C$1), true) → C5Normal(0, 1, $A5 + (0.01 * D$1), true) → D5Normal(0, 1, $A5 + (0.01 * E$1), true) → E5Normal(0, 1, $A5 + (0.01 * F$1), true) → F5Normal(0, 1, $A5 + (0.01 * G$1), true) → G5Normal(0, 1, $A5 + (0.01 * H$1), true) → H5Normal(0, 1, $A5 + (0.01 * I$1), true) → I5Normal(0, 1, $A5 + (0.01 * J$1), true) → J5Normal(0, 1, $A5 + (0.01 * K$1), true) → K5Normal(0, 1, $A6 + (0.01 * B$1), true) → B6Normal(0, 1, $A6 + (0.01 * C$1), true) → C6Normal(0, 1, $A6 + (0.01 * D$1), true) → D6Normal(0, 1, $A6 + (0.01 * E$1), true) → E6Normal(0, 1, $A6 + (0.01 * F$1), true) → F6Normal(0, 1, $A6 + (0.01 * G$1), true) → G6Normal(0, 1, $A6 + (0.01 * H$1), true) → H6Normal(0, 1, $A6 + (0.01 * I$1), true) → I6Normal(0, 1, $A6 + (0.01 * J$1), true) → J6Normal(0, 1, $A6 + (0.01 * K$1), true) → K6Normal(0, 1, $A7 + (0.01 * B$1), true) → B7Normal(0, 1, $A7 + (0.01 * C$1), true) → C7Normal(0, 1, $A7 + (0.01 * D$1), true) → D7Normal(0, 1, $A7 + (0.01 * E$1), true) → E7Normal(0, 1, $A7 + (0.01 * F$1), true) → F7Normal(0, 1, $A7 + (0.01 * G$1), true) → G7Normal(0, 1, $A7 + (0.01 * H$1), true) → H7Normal(0, 1, $A7 + (0.01 * I$1), true) → I7Normal(0, 1, $A7 + (0.01 * J$1), true) → J7Normal(0, 1, $A7 + (0.01 * K$1), true) → K7Normal(0, 1, $A8 + (0.01 * B$1), true) → B8Normal(0, 1, $A8 + (0.01 * C$1), true) → C8Normal(0, 1, $A8 + (0.01 * D$1), true) → D8Normal(0, 1, $A8 + (0.01 * E$1), true) → E8Normal(0, 1, $A8 + (0.01 * F$1), true) → F8Normal(0, 1, $A8 + (0.01 * G$1), true) → G8Normal(0, 1, $A8 + (0.01 * H$1), true) → H8Normal(0, 1, $A8 + (0.01 * I$1), true) → I8Normal(0, 1, $A8 + (0.01 * J$1), true) → J8Normal(0, 1, $A8 + (0.01 * K$1), true) → K8Normal(0, 1, $A9 + (0.01 * B$1), true) → B9Normal(0, 1, $A9 + (0.01 * C$1), true) → C9Normal(0, 1, $A9 + (0.01 * D$1), true) → D9Normal(0, 1, $A9 + (0.01 * E$1), true) → E9Normal(0, 1, $A9 + (0.01 * F$1), true) → F9Normal(0, 1, $A9 + (0.01 * G$1), true) → G9Normal(0, 1, $A9 + (0.01 * H$1), true) → H9Normal(0, 1, $A9 + (0.01 * I$1), true) → I9Normal(0, 1, $A9 + (0.01 * J$1), true) → J9Normal(0, 1, $A9 + (0.01 * K$1), true) → K9Normal(0, 1, $A10 + (0.01 * B$1), true) → B10Normal(0, 1, $A10 + (0.01 * C$1), true) → C10Normal(0, 1, $A10 + (0.01 * D$1), true) → D10Normal(0, 1, $A10 + (0.01 * E$1), true) → E10Normal(0, 1, $A10 + (0.01 * F$1), true) → F10Normal(0, 1, $A10 + (0.01 * G$1), true) → G10Normal(0, 1, $A10 + (0.01 * H$1), true) → H10Normal(0, 1, $A10 + (0.01 * I$1), true) → I10Normal(0, 1, $A10 + (0.01 * J$1), true) → J10Normal(0, 1, $A10 + (0.01 * K$1), true) → K10Normal(0, 1, $A11 + (0.01 * B$1), true) → B11Normal(0, 1, $A11 + (0.01 * C$1), true) → C11Normal(0, 1, $A11 + (0.01 * D$1), true) → D11Normal(0, 1, $A11 + (0.01 * E$1), true) → E11Normal(0, 1, $A11 + (0.01 * F$1), true) → F11Normal(0, 1, $A11 + (0.01 * G$1), true) → G11Normal(0, 1, $A11 + (0.01 * H$1), true) → H11Normal(0, 1, $A11 + (0.01 * I$1), true) → I11Normal(0, 1, $A11 + (0.01 * J$1), true) → J11Normal(0, 1, $A11 + (0.01 * K$1), true) → K11Normal(0, 1, $A12 + (0.01 * B$1), true) → B12Normal(0, 1, $A12 + (0.01 * C$1), true) → C12Normal(0, 1, $A12 + (0.01 * D$1), true) → D12Normal(0, 1, $A12 + (0.01 * E$1), true) → E12Normal(0, 1, $A12 + (0.01 * F$1), true) → F12Normal(0, 1, $A12 + (0.01 * G$1), true) → G12Normal(0, 1, $A12 + (0.01 * H$1), true) → H12Normal(0, 1, $A12 + (0.01 * I$1), true) → I12Normal(0, 1, $A12 + (0.01 * J$1), true) → J12Normal(0, 1, $A12 + (0.01 * K$1), true) → K12Normal(0, 1, $A13 + (0.01 * B$1), true) → B13Normal(0, 1, $A13 + (0.01 * C$1), true) → C13Normal(0, 1, $A13 + (0.01 * D$1), true) → D13Normal(0, 1, $A13 + (0.01 * E$1), true) → E13Normal(0, 1, $A13 + (0.01 * F$1), true) → F13Normal(0, 1, $A13 + (0.01 * G$1), true) → G13Normal(0, 1, $A13 + (0.01 * H$1), true) → H13Normal(0, 1, $A13 + (0.01 * I$1), true) → I13Normal(0, 1, $A13 + (0.01 * J$1), true) → J13Normal(0, 1, $A13 + (0.01 * K$1), true) → K13Normal(0, 1, $A14 + (0.01 * B$1), true) → B14Normal(0, 1, $A14 + (0.01 * C$1), true) → C14Normal(0, 1, $A14 + (0.01 * D$1), true) → D14Normal(0, 1, $A14 + (0.01 * E$1), true) → E14Normal(0, 1, $A14 + (0.01 * F$1), true) → F14Normal(0, 1, $A14 + (0.01 * G$1), true) → G14Normal(0, 1, $A14 + (0.01 * H$1), true) → H14Normal(0, 1, $A14 + (0.01 * I$1), true) → I14Normal(0, 1, $A14 + (0.01 * J$1), true) → J14Normal(0, 1, $A14 + (0.01 * K$1), true) → K14Normal(0, 1, $A15 + (0.01 * B$1), true) → B15Normal(0, 1, $A15 + (0.01 * C$1), true) → C15Normal(0, 1, $A15 + (0.01 * D$1), true) → D15Normal(0, 1, $A15 + (0.01 * E$1), true) → E15Normal(0, 1, $A15 + (0.01 * F$1), true) → F15Normal(0, 1, $A15 + (0.01 * G$1), true) → G15Normal(0, 1, $A15 + (0.01 * H$1), true) → H15Normal(0, 1, $A15 + (0.01 * I$1), true) → I15Normal(0, 1, $A15 + (0.01 * J$1), true) → J15Normal(0, 1, $A15 + (0.01 * K$1), true) → K15Normal(0, 1, $A16 + (0.01 * B$1), true) → B16Normal(0, 1, $A16 + (0.01 * C$1), true) → C16Normal(0, 1, $A16 + (0.01 * D$1), true) → D16Normal(0, 1, $A16 + (0.01 * E$1), true) → E16Normal(0, 1, $A16 + (0.01 * F$1), true) → F16Normal(0, 1, $A16 + (0.01 * G$1), true) → G16Normal(0, 1, $A16 + (0.01 * H$1), true) → H16Normal(0, 1, $A16 + (0.01 * I$1), true) → I16Normal(0, 1, $A16 + (0.01 * J$1), true) → J16Normal(0, 1, $A16 + (0.01 * K$1), true) → K16Normal(0, 1, $A17 + (0.01 * B$1), true) → B17Normal(0, 1, $A17 + (0.01 * C$1), true) → C17Normal(0, 1, $A17 + (0.01 * D$1), true) → D17Normal(0, 1, $A17 + (0.01 * E$1), true) → E17Normal(0, 1, $A17 + (0.01 * F$1), true) → F17Normal(0, 1, $A17 + (0.01 * G$1), true) → G17Normal(0, 1, $A17 + (0.01 * H$1), true) → H17Normal(0, 1, $A17 + (0.01 * I$1), true) → I17Normal(0, 1, $A17 + (0.01 * J$1), true) → J17Normal(0, 1, $A17 + (0.01 * K$1), true) → K17Normal(0, 1, $A18 + (0.01 * B$1), true) → B18Normal(0, 1, $A18 + (0.01 * C$1), true) → C18Normal(0, 1, $A18 + (0.01 * D$1), true) → D18Normal(0, 1, $A18 + (0.01 * E$1), true) → E18Normal(0, 1, $A18 + (0.01 * F$1), true) → F18Normal(0, 1, $A18 + (0.01 * G$1), true) → G18Normal(0, 1, $A18 + (0.01 * H$1), true) → H18Normal(0, 1, $A18 + (0.01 * I$1), true) → I18Normal(0, 1, $A18 + (0.01 * J$1), true) → J18Normal(0, 1, $A18 + (0.01 * K$1), true) → K18Normal(0, 1, $A19 + (0.01 * B$1), true) → B19Normal(0, 1, $A19 + (0.01 * C$1), true) → C19Normal(0, 1, $A19 + (0.01 * D$1), true) → D19Normal(0, 1, $A19 + (0.01 * E$1), true) → E19Normal(0, 1, $A19 + (0.01 * F$1), true) → F19Normal(0, 1, $A19 + (0.01 * G$1), true) → G19Normal(0, 1, $A19 + (0.01 * H$1), true) → H19Normal(0, 1, $A19 + (0.01 * I$1), true) → I19Normal(0, 1, $A19 + (0.01 * J$1), true) → J19Normal(0, 1, $A19 + (0.01 * K$1), true) → K19Normal(0, 1, $A20 + (0.01 * B$1), true) → B20Normal(0, 1, $A20 + (0.01 * C$1), true) → C20Normal(0, 1, $A20 + (0.01 * D$1), true) → D20Normal(0, 1, $A20 + (0.01 * E$1), true) → E20Normal(0, 1, $A20 + (0.01 * F$1), true) → F20Normal(0, 1, $A20 + (0.01 * G$1), true) → G20Normal(0, 1, $A20 + (0.01 * H$1), true) → H20Normal(0, 1, $A20 + (0.01 * I$1), true) → I20Normal(0, 1, $A20 + (0.01 * J$1), true) → J20Normal(0, 1, $A20 + (0.01 * K$1), true) → K20Normal(0, 1, $A21 + (0.01 * B$1), true) → B21Normal(0, 1, $A21 + (0.01 * C$1), true) → C21Normal(0, 1, $A21 + (0.01 * D$1), true) → D21Normal(0, 1, $A21 + (0.01 * E$1), true) → E21Normal(0, 1, $A21 + (0.01 * F$1), true) → F21Normal(0, 1, $A21 + (0.01 * G$1), true) → G21Normal(0, 1, $A21 + (0.01 * H$1), true) → H21Normal(0, 1, $A21 + (0.01 * I$1), true) → I21Normal(0, 1, $A21 + (0.01 * J$1), true) → J21Normal(0, 1, $A21 + (0.01 * K$1), true) → K21Normal(0, 1, $A22 + (0.01 * B$1), true) → B22Normal(0, 1, $A22 + (0.01 * C$1), true) → C22Normal(0, 1, $A22 + (0.01 * D$1), true) → D22Normal(0, 1, $A22 + (0.01 * E$1), true) → E22Normal(0, 1, $A22 + (0.01 * F$1), true) → F22Normal(0, 1, $A22 + (0.01 * G$1), true) → G22Normal(0, 1, $A22 + (0.01 * H$1), true) → H22Normal(0, 1, $A22 + (0.01 * I$1), true) → I22Normal(0, 1, $A22 + (0.01 * J$1), true) → J22Normal(0, 1, $A22 + (0.01 * K$1), true) → K22Normal(0, 1, $A23 + (0.01 * B$1), true) → B23Normal(0, 1, $A23 + (0.01 * C$1), true) → C23Normal(0, 1, $A23 + (0.01 * D$1), true) → D23Normal(0, 1, $A23 + (0.01 * E$1), true) → E23Normal(0, 1, $A23 + (0.01 * F$1), true) → F23Normal(0, 1, $A23 + (0.01 * G$1), true) → G23Normal(0, 1, $A23 + (0.01 * H$1), true) → H23Normal(0, 1, $A23 + (0.01 * I$1), true) → I23Normal(0, 1, $A23 + (0.01 * J$1), true) → J23Normal(0, 1, $A23 + (0.01 * K$1), true) → K23Normal(0, 1, $A24 + (0.01 * B$1), true) → B24Normal(0, 1, $A24 + (0.01 * C$1), true) → C24Normal(0, 1, $A24 + (0.01 * D$1), true) → D24Normal(0, 1, $A24 + (0.01 * E$1), true) → E24Normal(0, 1, $A24 + (0.01 * F$1), true) → F24Normal(0, 1, $A24 + (0.01 * G$1), true) → G24Normal(0, 1, $A24 + (0.01 * H$1), true) → H24Normal(0, 1, $A24 + (0.01 * I$1), true) → I24Normal(0, 1, $A24 + (0.01 * J$1), true) → J24Normal(0, 1, $A24 + (0.01 * K$1), true) → K24Normal(0, 1, $A25 + (0.01 * B$1), true) → B25Normal(0, 1, $A25 + (0.01 * C$1), true) → C25Normal(0, 1, $A25 + (0.01 * D$1), true) → D25Normal(0, 1, $A25 + (0.01 * E$1), true) → E25Normal(0, 1, $A25 + (0.01 * F$1), true) → F25Normal(0, 1, $A25 + (0.01 * G$1), true) → G25Normal(0, 1, $A25 + (0.01 * H$1), true) → H25Normal(0, 1, $A25 + (0.01 * I$1), true) → I25Normal(0, 1, $A25 + (0.01 * J$1), true) → J25Normal(0, 1, $A25 + (0.01 * K$1), true) → K25Normal(0, 1, $A26 + (0.01 * B$1), true) → B26Normal(0, 1, $A26 + (0.01 * C$1), true) → C26Normal(0, 1, $A26 + (0.01 * D$1), true) → D26Normal(0, 1, $A26 + (0.01 * E$1), true) → E26Normal(0, 1, $A26 + (0.01 * F$1), true) → F26Normal(0, 1, $A26 + (0.01 * G$1), true) → G26Normal(0, 1, $A26 + (0.01 * H$1), true) → H26Normal(0, 1, $A26 + (0.01 * I$1), true) → I26Normal(0, 1, $A26 + (0.01 * J$1), true) → J26Normal(0, 1, $A26 + (0.01 * K$1), true) → K26Normal(0, 1, $A27 + (0.01 * B$1), true) → B27Normal(0, 1, $A27 + (0.01 * C$1), true) → C27Normal(0, 1, $A27 + (0.01 * D$1), true) → D27Normal(0, 1, $A27 + (0.01 * E$1), true) → E27Normal(0, 1, $A27 + (0.01 * F$1), true) → F27Normal(0, 1, $A27 + (0.01 * G$1), true) → G27Normal(0, 1, $A27 + (0.01 * H$1), true) → H27Normal(0, 1, $A27 + (0.01 * I$1), true) → I27Normal(0, 1, $A27 + (0.01 * J$1), true) → J27Normal(0, 1, $A27 + (0.01 * K$1), true) → K27Normal(0, 1, $A28 + (0.01 * B$1), true) → B28Normal(0, 1, $A28 + (0.01 * C$1), true) → C28Normal(0, 1, $A28 + (0.01 * D$1), true) → D28Normal(0, 1, $A28 + (0.01 * E$1), true) → E28Normal(0, 1, $A28 + (0.01 * F$1), true) → F28Normal(0, 1, $A28 + (0.01 * G$1), true) → G28Normal(0, 1, $A28 + (0.01 * H$1), true) → H28Normal(0, 1, $A28 + (0.01 * I$1), true) → I28Normal(0, 1, $A28 + (0.01 * J$1), true) → J28Normal(0, 1, $A28 + (0.01 * K$1), true) → K28Normal(0, 1, $A29 + (0.01 * B$1), true) → B29Normal(0, 1, $A29 + (0.01 * C$1), true) → C29Normal(0, 1, $A29 + (0.01 * D$1), true) → D29Normal(0, 1, $A29 + (0.01 * E$1), true) → E29Normal(0, 1, $A29 + (0.01 * F$1), true) → F29Normal(0, 1, $A29 + (0.01 * G$1), true) → G29Normal(0, 1, $A29 + (0.01 * H$1), true) → H29Normal(0, 1, $A29 + (0.01 * I$1), true) → I29Normal(0, 1, $A29 + (0.01 * J$1), true) → J29Normal(0, 1, $A29 + (0.01 * K$1), true) → K29Normal(0, 1, $A30 + (0.01 * B$1), true) → B30Normal(0, 1, $A30 + (0.01 * C$1), true) → C30Normal(0, 1, $A30 + (0.01 * D$1), true) → D30Normal(0, 1, $A30 + (0.01 * E$1), true) → E30Normal(0, 1, $A30 + (0.01 * F$1), true) → F30Normal(0, 1, $A30 + (0.01 * G$1), true) → G30Normal(0, 1, $A30 + (0.01 * H$1), true) → H30Normal(0, 1, $A30 + (0.01 * I$1), true) → I30Normal(0, 1, $A30 + (0.01 * J$1), true) → J30Normal(0, 1, $A30 + (0.01 * K$1), true) → K30Normal(0, 1, $A31 + (0.01 * B$1), true) → B31Normal(0, 1, $A31 + (0.01 * C$1), true) → C31Normal(0, 1, $A31 + (0.01 * D$1), true) → D31Normal(0, 1, $A31 + (0.01 * E$1), true) → E31Normal(0, 1, $A31 + (0.01 * F$1), true) → F31Normal(0, 1, $A31 + (0.01 * G$1), true) → G31Normal(0, 1, $A31 + (0.01 * H$1), true) → H31Normal(0, 1, $A31 + (0.01 * I$1), true) → I31Normal(0, 1, $A31 + (0.01 * J$1), true) → J31Normal(0, 1, $A31 + (0.01 * K$1), true) → K31Normal(0, 1, $A3 + (0.01 * C$1), true) → cNormal(0, 1, $A3 + (0.01 * C$1), true) → C3Normal(0, 1, x, false) → hMidpoint(P, Q) → GVector(G, Q) → wVector(G, P) → jMidpoint(F, H) → INormal(x(A), AbsSD1, x(F), true) → PAMax(PA, QA) → PabsMin(PA, QA) → Qabs
AI Drawing Prompt Reference
Draw a normal distribution curve with mean, median, and standard deviation lines. Start by plotting the normal distribution curve, then create vectors to represent standard deviations. Find midpoints of segments and generate normal distribution points at these midpoints. Finally, connect these points to form curves showing different standard deviations.
The prompt above was compiled from the original drawing commands and is for reference only.