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1 of 3
7%
22%
13%
16%
13%
20%
9%
1 2 3 4 5 6 7 8
0 10 20 30 40 50
1
2
3
4
5
6
7
8
Series1
frecuencia
acumulada
frecuencia
relativa
intervalos aparentes
intervalos limite inferior limite superior
1 105350 106787
2 106788 108225
3 108226 109633
4 109664 111101
5 111102 112539
6 112540 113977
7 113978 115415
0.00000000
0.20000000
0.40000000
0.60000000
0.80000000
1.00000000
1 2 3 4 5 6 7 8
Series1
frecuencia
relativa
acumulada
intervalos reales
limite
inferior
limite
superior
XI FI fai fri Frai Fi*xi xi -x fi (Xi-X)^2fi
105349.5 106787.5 158743.25 3 3 0.06250000 0.06250000 476229.75 476229.75 5598258262
106787.5 108225.5 160900.25 10 13 0.20833333 0.27083333 1609002.5 1609002.5 2.58889E+11
108225.5 109633.5 163042.25 6 19 0.1250000 0.39583333 978253.50 978253.5 1.59497E+11
109663.5 111101.5 165214.25 7 26 0.14583333 0.54166667 1156499.75 1156499.75 .9107E+11
111101.5 112539.5 167371.25 6 32 0.12500000 0.66666667 1004227.50 1004227.5 1.68079E+11
112539.5 113977.5 169528.25 9 41 0.18750000 0.85416667 1525754.25 1525754.25 2.58658E+11
113977.5 115415.5 171685.25 4 45 0.083333333 0.93750000 686741.000 686741.000 1.17903E+11
totales 7436708.25 7436708.25 1.22969E+12
mediaa= 154931.422
desviacion
media 154931.4219
varianza 309862.8438
desviacion
estandar

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Frecuencia acumulada

  • 1. 7% 22% 13% 16% 13% 20% 9% 1 2 3 4 5 6 7 8 0 10 20 30 40 50 1 2 3 4 5 6 7 8 Series1 frecuencia acumulada frecuencia relativa
  • 2. intervalos aparentes intervalos limite inferior limite superior 1 105350 106787 2 106788 108225 3 108226 109633 4 109664 111101 5 111102 112539 6 112540 113977 7 113978 115415 0.00000000 0.20000000 0.40000000 0.60000000 0.80000000 1.00000000 1 2 3 4 5 6 7 8 Series1 frecuencia relativa acumulada
  • 3. intervalos reales limite inferior limite superior XI FI fai fri Frai Fi*xi xi -x fi (Xi-X)^2fi 105349.5 106787.5 158743.25 3 3 0.06250000 0.06250000 476229.75 476229.75 5598258262 106787.5 108225.5 160900.25 10 13 0.20833333 0.27083333 1609002.5 1609002.5 2.58889E+11 108225.5 109633.5 163042.25 6 19 0.1250000 0.39583333 978253.50 978253.5 1.59497E+11 109663.5 111101.5 165214.25 7 26 0.14583333 0.54166667 1156499.75 1156499.75 .9107E+11 111101.5 112539.5 167371.25 6 32 0.12500000 0.66666667 1004227.50 1004227.5 1.68079E+11 112539.5 113977.5 169528.25 9 41 0.18750000 0.85416667 1525754.25 1525754.25 2.58658E+11 113977.5 115415.5 171685.25 4 45 0.083333333 0.93750000 686741.000 686741.000 1.17903E+11 totales 7436708.25 7436708.25 1.22969E+12 mediaa= 154931.422 desviacion media 154931.4219 varianza 309862.8438 desviacion estandar