taller de estadistica umng

9
Xi ni Ni f 1000 2 2 4.00% 1110 2 4 4.00% 1123 6 10 12.00% 1145 2 12 4.00% 1156 2 14 4.00% 1167 2 16 4.00% 1200 4 20 8.00% 1234 4 24 8.00% 1248 4 28 8.00% 1347 2 30 4.00% 1445 2 32 4.00% 1446 2 34 4.00% 1455 2 36 4.00% 1456 2 38 4.00% 1458 2 40 4.00% 1520 2 42 4.00% 1556 2 44 4.00% 1920 4 48 8.00% 2000 2 50 4.00% N= 50 Mo = > ni 1123 1248 25 1353.36 RANGO= Xi max. - Xi min. 1000 Me = Ni≥ N/2 MEDIA ( X ) = ∑Xi*Fi

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Page 1: Taller de Estadistica Umng

Xi ni Ni f1000 2 2 4.00%1110 2 4 4.00%1123 6 10 12.00%1145 2 12 4.00%1156 2 14 4.00%1167 2 16 4.00%1200 4 20 8.00%1234 4 24 8.00%1248 4 28 8.00%1347 2 30 4.00%1445 2 32 4.00%1446 2 34 4.00%1455 2 36 4.00%1456 2 38 4.00%1458 2 40 4.00%1520 2 42 4.00%1556 2 44 4.00%1920 4 48 8.00%2000 2 50 4.00%

N= 50

Mo = > ni 1123

1248 25

1353.36

RANGO= Xi max. - Xi min. 1000

Me = Ni≥ N/2

MEDIA ( X ) = ∑Xi*Fi

Page 2: Taller de Estadistica Umng

Fi4.00% 40.00 -706.728.00% 44.40 -486.7220.00% 134.76 -1382.1624.00% 45.80 -416.7228.00% 46.24 -394.7232.00% 46.68 -372.7240.00% 96.00 -613.4448.00% 98.72 -477.4456.00% 99.84 -421.4460.00% 53.88 -12.7264.00% 57.80 183.2868.00% 57.84 185.2872.00% 58.20 203.2876.00% 58.24 205.2880.00% 58.32 209.2884.00% 60.80 333.2888.00% 62.24 405.2896.00% 153.60 2266.56

100.00% 80.00 1293.281353.36 0

DM=(Xi-X)* ni / N = 0

69443.4304

Desv est. (S)= raiz^2 de (S^2) 263.5212143263

coef. Varia (C.V.) = (D.S / X)*100% 19.47

X=∑Xi*f DM=∑(Xi-X)*ni / N

VARI (S^2) = (∑(Xi-X)^2*ni)/N

Page 3: Taller de Estadistica Umng

(S^2) = (∑(Xi-X)^2*ni)/N

249726.58118448.18318394.3886827.7877901.9469460.1094077.1656987.2444402.92

80.9016795.7817164.3420661.3821069.9421899.0655537.7882125.94

1284323.56836286.58

3472171.52

%

Page 4: Taller de Estadistica Umng

Xi ni Ni f43.6 3 3 2.50%45 6 9 5.00%

45.3 6 15 5.00%45.6 3 18 2.50%45.8 6 24 5.00%45.9 3 27 2.50%46.3 3 30 2.50%46.5 3 33 2.50%46.7 3 36 2.50%46.9 6 42 5.00%47.1 6 48 5.00%47.2 3 51 2.50%47.3 3 54 2.50%47.4 6 60 5.00%47.8 3 63 2.50%47.9 3 66 2.50%48.1 3 69 2.50%48.2 3 72 2.50%48.3 6 78 5.00%48.4 9 87 7.50%48.9 3 90 2.50%49.1 9 99 7.50%49.2 3 102 2.50%49.5 3 105 2.50%49.6 3 108 2.50%49.8 3 111 2.50%50 9 120 7.50%

N = 120

Mo = > ni120 60

47.56

RANGO= Xi max. - Xi min. 6.4

45.3 45 46.9 45.845 43.6 46.7 47.9

48.4 48.9 47.3 46.947.4 48.4 49.1 45.649.6 50 50 47.845.9 47.2 48.2 49.146.3 47.4 48.3 49.149.5 48.4 48.3 49.245.3 45 46.9 45.845 43.6 46.7 47.9

Me = Ni≥ N/2MEDIA ( X ) = ∑Xi*Fi

Page 5: Taller de Estadistica Umng

48.4 48.9 47.3 46.947.4 48.4 49.1 45.649.6 50 50 47.845.9 47.2 48.2 49.146.3 47.4 48.3 49.149.5 48.4 48.3 49.245.3 45 46.9 45.845 43.6 46.7 47.9

48.4 48.9 47.3 46.947.4 48.4 49.1 45.649.6 50 50 47.845.9 47.2 48.2 49.146.3 47.4 48.3 49.149.5 48.4 48.3 49.2

Page 6: Taller de Estadistica Umng

Fi2.50% 1.09 -11.877.50% 2.25 -15.3312.50% 2.27 -13.5315.00% 1.14 -5.8620.00% 2.29 -10.5322.50% 1.15 -4.9625.00% 1.16 -3.7627.50% 1.16 -3.1630.00% 1.17 -2.5635.00% 2.35 -3.9340.00% 2.36 -2.7342.50% 1.18 -1.0645.00% 1.18 -0.7650.00% 2.37 -0.9352.50% 1.20 0.7455.00% 1.20 1.0457.50% 1.20 1.6460.00% 1.21 1.9465.00% 2.42 4.4772.50% 3.63 7.6175.00% 1.22 4.0482.50% 3.68 13.9185.00% 1.23 4.9487.50% 1.24 5.8490.00% 1.24 6.1492.50% 1.25 6.74

100.00% 3.75 22.01

X = 47.56 0.00

0.00

$ 2.58

Desv est. (S)= raiz^2 de (S^2) $ 1.61

coef. Varia (C.V.) = (D.S / X)*100% 3.38

47.147.145.848.145.3

5049.846.547.147.1

X=∑Xi*f DM=∑(Xi-X)*ni / N

DM=∑(Xi-X)* ni / N =

VARI (S^2) = ((∑Xi-X)^2*ni)/N

Page 7: Taller de Estadistica Umng

45.848.145.3

5049.846.547.147.145.848.145.3

5049.846.5

Page 8: Taller de Estadistica Umng

(S^2) = (∑(Xi-X)^2*ni)/N

$ 46.93$ 39.17$ 30.51$ 11.47$ 18.48$ 8.22$ 4.73 -81.00$ 3.34 81.00$ 2.19$ 2.57$ 1.24$ 0.38$ 0.20$ 0.14$ 0.18$ 0.36$ 0.89$ 1.25$ 3.33$ 6.43$ 5.43$ 21.48$ 8.12$ 11.35$ 12.55$ 15.12$ 53.80

$ 309.84

2.6036722689

%

Page 9: Taller de Estadistica Umng