limite inferior limite superior lim. Inf. Real lim. Sup. Real valor minimo 46
40 49 39.5 49.5 valor maximo 89
45 53 49.5 53.5 rango es igual 89-46
50 59 53.5 59.5 rango 43
55 63 59.5 63.5 intervalo 4.3
60 69 63.5 69.5
65 73 69.5 73.5
70 79 73.5 79.5
75 83 79.5 83.5
80 89 83.5 89.5
85 94 89.5 94.5
lim. Inf. Real lim. Sup. Real clases fi fai fri frai
39.5 49.5 44.5 3 2 0.0100 0.01 133.5 69.955 1631.234008
49.5 53.5 51.5 8 10 0.027 0.0333 412 130.546667 2130.304022
53.5 59.5 56.5 45 55 0.150 0.183 2542.5 509.325 5764.710125
59.5 63.5 61.5 42 97 0.140 0.3233 2583 265.37 1676.696117
63.5 69.5 66.5 82 179 0.273 0.597 5453 108.103333 142.5162278
69.5 73.5 71.5 43 222 0.143 0.740 3074.5 158.311667 582.8507861
73.5 79.5 76.5 49 271 0.163 0.903 3748.5 425.401667 3693.195469
79.5 83.5 81.5 22 293 0.073 0.977 1793 300.996667 4118.136061
83.5 89.5 86.5 7 300 0.023 1.000 605.5 130.771667 2443.032686
89.5 94.5 92 0 300 0.000 1.000
133 totales 20345.5 2098.782 22182.6755
66.5 67.81833333
desviacion media=6.99593889
varianza= 73.94225168
desviacion estandar muestral=8.598968059
0
50
100
150
200
250
300
350
1 2 3 4 5 6 7 8 9 10
Series1
Series2
34
1.00%
2.67%
15.00%
14.00%
27.33%
14.33%
16.33%
7.33%
2.33% 0.00%
44.5
51.5
56.5
61.5
66.5
71.5
76.5
81.5
86.5
92
0
20
40
60
80
100
44.5
51.5
56.5
61.5
66.5
71.5
76.5
81.5
86.5
92
Series1
valor minimo 39 8 linea 1
39 4 39 6
40 6
primer cuartil 40 8 linea 2
40 4 40 8
50 8
mediana 45 8 linea 3
45 4 40 4
50 4
tercer cuartil 50 8 linea 4
50 4 50 6
54 6
valor maximo 54 8
54 4
rango intercuartilico 15
0
1
2
3
4
5
6
7
8
9
0 10 20 30 40 50 60
valor minimo
primer cuartil
mediana
tercer cuartil
valor maximo
linea 1
linea 2
linea 3
linea 4
0
10
20
30
40
50
60
70
80
90
44.5 51.5 56.5 61.5 66.5 71.5 76.5 81.5 86.5 92
frecuenciaabsoluta
clases

Ejercicio 5

  • 1.
    limite inferior limitesuperior lim. Inf. Real lim. Sup. Real valor minimo 46 40 49 39.5 49.5 valor maximo 89 45 53 49.5 53.5 rango es igual 89-46 50 59 53.5 59.5 rango 43 55 63 59.5 63.5 intervalo 4.3 60 69 63.5 69.5 65 73 69.5 73.5 70 79 73.5 79.5 75 83 79.5 83.5 80 89 83.5 89.5 85 94 89.5 94.5
  • 2.
    lim. Inf. Reallim. Sup. Real clases fi fai fri frai 39.5 49.5 44.5 3 2 0.0100 0.01 133.5 69.955 1631.234008 49.5 53.5 51.5 8 10 0.027 0.0333 412 130.546667 2130.304022 53.5 59.5 56.5 45 55 0.150 0.183 2542.5 509.325 5764.710125 59.5 63.5 61.5 42 97 0.140 0.3233 2583 265.37 1676.696117 63.5 69.5 66.5 82 179 0.273 0.597 5453 108.103333 142.5162278 69.5 73.5 71.5 43 222 0.143 0.740 3074.5 158.311667 582.8507861 73.5 79.5 76.5 49 271 0.163 0.903 3748.5 425.401667 3693.195469 79.5 83.5 81.5 22 293 0.073 0.977 1793 300.996667 4118.136061 83.5 89.5 86.5 7 300 0.023 1.000 605.5 130.771667 2443.032686 89.5 94.5 92 0 300 0.000 1.000 133 totales 20345.5 2098.782 22182.6755 66.5 67.81833333 desviacion media=6.99593889 varianza= 73.94225168 desviacion estandar muestral=8.598968059
  • 3.
    0 50 100 150 200 250 300 350 1 2 34 5 6 7 8 9 10 Series1 Series2
  • 4.
  • 5.
  • 6.
    valor minimo 398 linea 1 39 4 39 6 40 6 primer cuartil 40 8 linea 2 40 4 40 8 50 8 mediana 45 8 linea 3 45 4 40 4 50 4 tercer cuartil 50 8 linea 4 50 4 50 6 54 6 valor maximo 54 8 54 4 rango intercuartilico 15 0 1 2 3 4 5 6 7 8 9 0 10 20 30 40 50 60 valor minimo primer cuartil mediana tercer cuartil valor maximo linea 1 linea 2 linea 3 linea 4
  • 7.
    0 10 20 30 40 50 60 70 80 90 44.5 51.5 56.561.5 66.5 71.5 76.5 81.5 86.5 92 frecuenciaabsoluta clases