Test 3 ex. 1 : grup A si grup B

Xi Xi Xi-m Xi-mGrup A Grup B Gr.A Gr.B Gr.A Gr.B

79 73 -0.9 -2.6 0.81 6.7675 84 -4.9 8.4 24.01 70.5698 76 18.1 0.4 327.61 0.1681 70 1.1 -5.6 1.21 31.3682 69 2.1 -6.6 4.41 43.5670 76 -9.9 0.4 98.01 0.1660 46 -19.9 -29.6 396.01 876.1682 81 2.1 5.4 4.41 29.1677 92 -2.9 16.4 8.41 268.9681 66 1.1 -9.6 1.21 92.1681 87 1.1 11.4 1.21 129.9687 81 7.1 5.4 50.41 29.1688 78 8.1 2.4 65.61 5.7694 45 14.1 -30.6 198.81 936.3679 67 -0.9 -8.6 0.81 73.9692 73 12.1 -2.6 146.41 6.7677 88 -2.9 12.4 8.41 153.7670 79 -9.9 3.4 98.01 11.5674 95 -5.9 19.4 34.81 376.3671 86 -8.9 10.4 79.21 108.16

Suma 1,549.80 3,250.80Media (m) 79.9 75.6Abaterea standard (s) 9.03 13.08Coef. Variatie 0.1130 0.1730

N=20 valori ; N-1=19

evidentiind unefect variabil de la individ la individ.

(xi-m)(xi-m) (xi-m)(xi-m)

# grupul A are nivel mediu al tendintelor maI ridicat decat grupul B# grupul B este mai neomogen decat gr. A avand variabilitate mai mare a scorurilor (13,08 fata de 9,03)

# variabilitatea gr. B este mai mare decat a gr. A,apropiate de 15%- buna reprezentativitate

Nae (Batovschi) Cristina Irina - An I - IFR

Tema 3 ex. 2 Grafic box-plot

Fa A Fa B Fc A Fc B Frc A Frc B Frc% A Frc% B45 0 1 0 1 0.00 0.05 0.00 5.0046 0 1 0 2 0.00 0.10 0.00 10.0060 1 1 1 3 0.05 0.15 5.00 15.0066 0 1 1 4 0.05 0.20 5.00 20.0067 0 1 1 5 0.05 0.25 5.00 25.0069 0 1 1 6 0.05 0.30 5.00 30.0070 2 1 3 7 0.15 0.35 15.00 35.0071 1 0 4 7 0.20 0.35 20.00 35.0073 0 2 4 9 0.20 0.45 20.00 45.0074 1 0 5 9 0.25 0.45 25.00 45.0075 1 0 6 9 0.30 0.45 30.00 45.0076 0 1 6 10 0.30 0.50 30.00 50.0077 2 0 8 10 0.40 0.50 40.00 50.0078 0 1 8 11 0.40 0.55 40.00 55.0079 2 1 10 12 0.50 0.60 50.00 60.0081 3 2 13 14 0.65 0.70 65.00 70.0082 2 0 15 14 0.75 0.70 75.00 70.0084 0 1 15 15 0.75 0.75 75.00 75.0086 0 1 15 16 0.75 0.80 75.00 80.0087 1 1 16 17 0.80 0.85 80.00 85.0088 1 1 17 18 0.85 0.90 85.00 90.0092 1 1 18 19 0.90 0.95 90.00 95.0094 1 0 19 19 0.95 0.95 95.00 95.0095 0 1 19 20 0.95 1.00 95.00 100.0098 1 0 20 20 1.00 1.00 100.00 100.00

20 20

gr. A : percentila 50 coresp. valorii de 79, percent 25 valorii 74,percent 75 valorii 82 - diferenta 8# mediana (Me)- val.79,, # limita prelung. Sup = 82+8x1,5=94 - se stabileste la 94# limita prelung. Inf.74-8x1,5=62 - se fixeaza la 60 val minima a distributiei gr. B : percentila 50 coresp. val 76, percent.25 valorii 67, percentila 75 valorii 84 -diferenta 17# mediana (Me) - val 76, ,# limita prelung.sup.= 84+17x1,5=109,5 - se stabileste la 95 val maxima a distrib. # limita prelung. Inf. 67-17x1,5= 41,5 - se stabileste la 45 val. Minima a distributiei

GR A GR Bmustati mustati

94 95

75% 82 75% 84

Me - 79 Me - 76

25% 74 25% 67

60 45

Nae (Batovschi) Cristina Irina - An I - IFR