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MÉTODOS ESTADÍSTICOS
TAREA No. 3
PROBLEMA:
1).
3.1) Número de terremotos ocurridos en cada una de las horas lunares durante cierto tiempo.
Hora lunar (x) | Número de terremotos (y) |
0 | 7 |
1 | 2 |
2 | 3 |
3 | 5 |
4 | 8 |
5 | 5 |
6 | 8 |
7 | 6 |
8 | 1 |
9 | 2 |
10 | 0 |
11 | 5 |
12 | 3 |
13 | 4 |
14 | 5 |
15 | 9 |
16 | 9 |
17 | 6 |
18 | 5 |
19 | 9 |
20 | 2 |
21 | 2 |
22 | 5 |
23 | 2 |
24 | 7 |
2).
1. - TABLA DE FRECUANCIAS | | | | | |
Nímero de clase | Limite de clase | Limite superior de clase | Valor medio (Vi) | Frecuancia absoluta (fi) | Frecuancia relativa (pi) (%) | Frecuancia absoluta acumulada (Fi) | Frecuencia relativa acumulada (Pi) | Pi | pi |
| | | | | | | | | |
1 | (0 5] | 5 | 2.5 | 2423 | 18.48630503 | 2423 | 18.48630503 | 0.18486305 | 0.18486305 |
2 | (5 - 10] | 10 | 7.5 | 2044 | 15.59472038 | 4467 | 34.08102541 | 0.34081025 | 0.1559472 |
3 | (10 - 15] | 15 | 12.5 | 1816 | 13.85519188 | 6283 | 47.93621729 | 0.47936217 | 0.13855192 |
4 | (15 - 20] | 20 | 17.5 | 1466 | 11.18486305 | 7749 | 59.12108034 | 0.5912108 | 0.11184863 |
5 | (20 - 25] | 25 | 22.5 | 1055 | 8.049134051 | 8804 | 67.17021439 | 0.67170214 | 0.08049134 |
6 | (25 - 30] | 30 | 27.5 | 787 | 6.004425116 | 9591 | 73.17463951 | 0.7317464 | 0.06004425 |
7 | (30 - 35] | 35 | 32.5 | 588 | 4.486152438 | 10179 | 77.66079195 | 0.77660792 | 0.04486152 |
8 | (35 - 40] | 40 | 37.5 | 582 | 4.440375372 | 10761 | 82.10116732 | 0.82101167 | 0.04440375 |
9 | (40 - 45] | 45 | 42.5 | 447 | 3.410391394 | 11208 | 85.51155871 | 0.85511559 | 0.03410391 |
10 | (45 - 50] | 50 | 47.5 | 420 | 3.204394598 | 11628 | 88.71595331 | 0.88715953 | 0.03204395 |
11 | (50 - 55] | 55 | 52.5 | 310 | 2.365148394 | 11938 | 91.0811017 | 0.91081102 | 0.02365148 |
12 | (55 - 60] | 60 | 57.5 | 364 | 2.777141985 | 12302 | 93.85824369 | 0.93858244 | 0.02777142 |
13 | (60 - 65] | 65 | 62.5 | 248 | 1.892118715 | 12550 | 95.7503624 | 0.95750362 | 0.01892119 |
14 | (65 - 70] | 70 | 67.5 | 207 | 1.579308766 | 12757 | 97.32967117 | 0.97329671 | 0.01579309 |
15 | (70 - 75] | 75 | 72.5 | 108 | 0.823987182 | 12865 | 98.15365835 | 0.98153658 | 0.00823987 |
16 | (75 - 80] | 80 | 77.5 | 119 | 0.907911803 | 12984 | 99.06157016 | 0.9906157 | 0.00907912 |
17 | (80 - 85] | 85 | 82.5 | 67 | 0.511177234 | 13051 | 99.57274739 | 0.99572747 | 0.00511177 |
18 | (85 - 90] | 90 | 87.5 | 43 | 0.328068971 | 13094 | 99.90081636 | 0.99900816 | 0.00328069 |
19 | (90 - 95] | 95 | 92.5 | 10 | 0.076295109 | 13104 | 99.97711147 | 0.99977111 | 0.00076295 |
20 | (95 - 100] | 100 | 97.5 | 3 | 0.022888533 | 13107 | 100 | 1 | 0.00022889 |
| | | | 13107 | 100 | | | | |
| | | | | | | | | |
3).
Media aritmética: x1=52.0, x2=27.7, x3=15.7, x4=18.6, x5=12.3, x6=9.0, x7=4.4, x8=5.7, n=8
Media geométrica:
En este caso la mejor medida de tendencia central sería la MEDIA GEOMETRICA debido a que se está midiendo la variación promedio anual de la inflación.
4).
Media aritmética: x1=2.57, x2=1.68, x3=1.24, x4=1.08, x5=0.91, x6=0.89, x7=0.87, x8=0.89, x9=1.25, x10=0.80, x11=1.12, x12=1.40, n=12
Media geométrica:
Como en el caso anterior aquí también es mejor utilizar la MEDIA GEOMETRICA por que se trata de la variación mensual de la inflación.
La inflación para el año de 1997 sería de 1.223%
5).
Media aritmética: x1=3.80, x2=3.20, x3=3.97, x4=4.15, x5=4.60, x6=3.55, x7=6.10, n =7
Media geométrica:
a). 3.1 Incisos:
i).
j).
k).
l).
3.2).
a).
b).
c). ; Por que: i=1
d).
e).
f).
3.4) MEDIA = 52.57; MEDIANA = 48.5
3.5) MODA = 28 y 27; MEDIA ARITMÉTICA = 27.79;
MEDIANA = 27
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Enviado por: | Omax |
Idioma: | castellano |
País: | México |