Sampling Distribution for Means

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2017-06-14 01:50

Probability & Statistics

This example demonstrates the concept of sampling distribution for means. It involves core concepts in probability and statistics, showing how sample means are distributed. The construction uses commands like Element, Point, Mean in GeoGebra, illustrating how to understand the distribution of the population mean through sampling. Suitable for high school and above students or teachers.

GeoGebra Commands & Parameters

Element(If[n ≟ 2, subsets2, subsets3], sampleDisplayed) → selectedSample
Point(f) → foot1
Point(f) → foot2
Point(f) → foot3
Point(f) → foot4
Point(f) → foot6
Point(f) → foot5
Point(f) → foot7
Point(f) → foot8
Point(f) → foot9
Point(g) → verticalDistance
Element(subsets3, A1) → B1
Element(subsets3, A2) → B2
Element(subsets3, A3) → B3
Element(subsets3, A4) → B4
Element(subsets3, A5) → B5
Element(subsets3, A6) → B6
Element(subsets3, A7) → B7
Element(subsets3, A8) → B8
Element(subsets3, A9) → B9
Element(subsets3, A10) → B10
Element(subsets3, A11) → B11
Element(subsets3, A12) → B12
Element(subsets3, A13) → B13
Element(subsets3, A14) → B14
Element(subsets3, A15) → B15
Element(subsets3, A16) → B16
Element(subsets3, A17) → B17
Element(subsets3, A18) → B18
Element(subsets3, A19) → B19
Element(subsets3, A20) → B20
Element(subsets3, A21) → B21
Element(subsets3, A22) → B22
Element(subsets3, A23) → B23
Element(subsets3, A24) → B24
Element(subsets3, A25) → B25
Element(subsets3, A26) → B26
Element(subsets3, A27) → B27
Element(subsets3, A28) → B28
Element(subsets3, A29) → B29
Element(subsets3, A30) → B30
Element(subsets3, A31) → B31
Element(subsets3, A32) → B32
Element(subsets3, A33) → B33
Element(subsets3, A34) → B34
Element(subsets3, A35) → B35
Element(subsets3, A36) → B36
Element(subsets3, A37) → B37
Element(subsets3, A38) → B38
Element(subsets3, A39) → B39
Element(subsets3, A40) → B40
Element(subsets3, A41) → B41
Element(subsets3, A42) → B42
Element(subsets3, A43) → B43
Element(subsets3, A44) → B44
Element(subsets3, A45) → B45
Element(subsets3, A46) → B46
Element(subsets3, A47) → B47
Element(subsets3, A48) → B48
Element(subsets3, A49) → B49
Element(subsets3, A50) → B50
Element(subsets3, A51) → B51
Element(subsets3, A52) → B52
Element(subsets3, A53) → B53
Element(subsets3, A54) → B54
Element(subsets3, A55) → B55
Element(subsets3, A56) → B56
Element(subsets3, A57) → B57
Element(subsets3, A58) → B58
Element(subsets3, A59) → B59
Element(subsets3, A60) → B60
Element(subsets3, A61) → B61
Element(subsets3, A62) → B62
Element(subsets3, A63) → B63
Element(subsets3, A64) → B64
Element(subsets3, A65) → B65
Element(subsets3, A66) → B66
Element(subsets3, A67) → B67
Element(subsets3, A68) → B68
Element(subsets3, A69) → B69
Element(subsets3, A70) → B70
Element(subsets3, A71) → B71
Element(subsets3, A72) → B72
Element(subsets3, A73) → B73
Element(subsets3, A74) → B74
Element(subsets3, A75) → B75
Element(subsets3, A76) → B76
Element(subsets3, A77) → B77
Element(subsets3, A78) → B78
Element(subsets3, A79) → B79
Element(subsets3, A80) → B80
Element(subsets3, A81) → B81
Element(subsets3, A82) → B82
Element(subsets3, A83) → B83
Element(subsets3, A84) → B84
Mean(C1) → D1
Mean(C3) → D3
Mean(C4) → D4
Mean(C5) → D5
Mean(C6) → D6
Mean(C7) → D7
Mean(C8) → D8
Mean(C9) → D9
Mean(C10) → D10
Mean(C11) → D11
Mean(C12) → D12
Mean(C13) → D13
Mean(C14) → D14
Mean(C15) → D15
Mean(C16) → D16
Mean(C17) → D17
Mean(C18) → D18
Mean(C19) → D19
Mean(C20) → D20
Mean(C21) → D21
Mean(C22) → D22
Mean(C23) → D23
Mean(C24) → D24
Mean(C25) → D25
Mean(C26) → D26
Mean(C27) → D27
Mean(C28) → D28
Mean(C29) → D29
Mean(C30) → D30
Mean(C31) → D31
Mean(C32) → D32
Mean(C33) → D33
Mean(C34) → D34
Mean(C35) → D35
Mean(C36) → D36
Mean(C37) → D37
Mean(C38) → D38
Mean(C39) → D39
Mean(C40) → D40
Mean(C41) → D41
Mean(C42) → D42
Mean(C43) → D43
Mean(C44) → D44
Mean(C45) → D45
Mean(C46) → D46
Mean(C47) → D47
Mean(C48) → D48
Mean(C49) → D49
Mean(C50) → D50
Mean(C51) → D51
Mean(C52) → D52
Mean(C53) → D53
Mean(C54) → D54
Mean(C55) → D55
Mean(C56) → D56
Mean(C57) → D57
Mean(C58) → D58
Mean(C59) → D59
Mean(C60) → D60
Mean(C61) → D61
Mean(C62) → D62
Mean(C63) → D63
Mean(C64) → D64
Mean(C65) → D65
Mean(C66) → D66
Mean(C67) → D67
Mean(C68) → D68
Mean(C69) → D69
Mean(C70) → D70
Mean(C71) → D71
Mean(C72) → D72
Mean(C73) → D73
Mean(C74) → D74
Mean(C75) → D75
Mean(C76) → D76
Mean(C77) → D77
Mean(C78) → D78
Mean(C79) → D79
Mean(C80) → D80
Mean(C81) → D81
Mean(C82) → D82
Mean(C83) → D83
Mean(C84) → D84
Mean(C2) → D2
Element(subsets2, A1) → G1
Element(subsets2, A2) → G2
Element(subsets2, A3) → G3
Element(subsets2, A4) → G4
Element(subsets2, A5) → G5
Element(subsets2, A6) → G6
Element(subsets2, A7) → G7
Element(subsets2, A8) → G8
Element(subsets2, A9) → G9
Element(subsets2, A10) → G10
Element(subsets2, A11) → G11
Element(subsets2, A12) → G12
Element(subsets2, A13) → G13
Element(subsets2, A14) → G14
Element(subsets2, A15) → G15
Element(subsets2, A16) → G16
Element(subsets2, A17) → G17
Element(subsets2, A18) → G18
Element(subsets2, A19) → G19
Element(subsets2, A20) → G20
Element(subsets2, A21) → G21
Element(subsets2, A22) → G22
Element(subsets2, A23) → G23
Element(subsets2, A24) → G24
Element(subsets2, A25) → G25
Element(subsets2, A26) → G26
Element(subsets2, A27) → G27
Element(subsets2, A28) → G28
Element(subsets2, A29) → G29
Element(subsets2, A30) → G30
Element(subsets2, A31) → G31
Element(subsets2, A32) → G32
Element(subsets2, A33) → G33
Element(subsets2, A34) → G34
Element(subsets2, A35) → G35
Element(subsets2, A36) → G36
Mean(H1) → I1
Mean(H2) → I2
Mean(H3) → I3
Mean(H4) → I4
Mean(H5) → I5
Mean(H6) → I6
Mean(H7) → I7
Mean(H8) → I8
Mean(H9) → I9
Mean(H10) → I10
Mean(H11) → I11
Mean(H12) → I12
Mean(H13) → I13
Mean(H14) → I14
Mean(H15) → I15
Mean(H16) → I16
Mean(H17) → I17
Mean(H18) → I18
Mean(H19) → I19
Mean(H20) → I20
Mean(H21) → I21
Mean(H22) → I22
Mean(H23) → I23
Mean(H24) → I24
Mean(H25) → I25
Mean(H26) → I26
Mean(H27) → I27
Mean(H28) → I28
Mean(H29) → I29
Mean(H30) → I30
Mean(H31) → I31
Mean(H32) → I32
Mean(H33) → I33
Mean(H34) → I34
Mean(H35) → I35
Mean(H36) → I36