Trabajo de Topografia Triangulacion y Base
LeCat37Trabajo17 de Junio de 2019
2.784 Palabras (12 Páginas)132 Visitas
Dic 1
Ángulos medidos
Dic 1 – α Externo
N | Xi | Fi | Fi*Xi | Fa | Vi | Fi*Vi | [pic 1] | Fi*[pic 2] |
1 | 278°28'16,5" | 1 | 278°28'16,5" | 1 | -5.25 | -5.25 | 27.56 | 27.56 |
2 | 278°28'19,5" | 1 | 278°28'19,5" | 2 | -2.25 | -2.25 | 5.06 | 5.06 |
3 | 278°28'21" | 2 | 556°56'42" | 4 | -0.75 | -1.5 | 0.56 | 1.12 |
4 | 278°28'22,5" | 2 | 556°56'45" | 6 | 0.75 | 1.5 | 0.56 | 1.12 |
5 | 278°28'24" | 1 | 278°28'24" | 7 | 2.25 | 2.25 | 5.06 | 5.06 |
6 | 278°28'25,5" | 1 | 278°28'25,5" | 8 | 3.75 | 3.75 | 14.06 | 14.06 |
∑ | 8 | 2227°46'52.5" | 16.5 | 53.98 |
Estimadores de tendencia central
- Media aritmética
[pic 3]
- Mediana
[pic 4]
Tomando 𝑎 = 0 porque el intervalo de clase entre los términos no es constante.
- X BES (Best Easy Systematics)
[pic 5]
Estimadores de dispersión
- Rango
Rn = Xmayor - Xmenor = 278°28'25,5" - 278°28'16,5" = 9"
- Desviación Absoluta Media
[pic 6][pic 7]
- Desviación Standard para una observación
[pic 8]
- Desviación Standard de la media aritmética
[pic 9]
- Error probable: (Valor de confianza = 0,997)
Ep = 0.997*0.98 = 0.977
Xbes = [pic 10]
- Criterio de Rechazo
N | Xi | Fi |
2 | 278°28'19,5" | 1 |
3 | 278°28'21" | 2 |
4 | 278°28'22,5" | 2 |
5 | 278°28'24" | 1 |
Xbes = [pic 11] |
Dic 1 – α 1
N | Xi | Fi | Fi*Xi | Fa | Vi | Fi*Vi | [pic 12] | Fi*[pic 13] |
1 | 41°19'18" | 1 | 41°19'18" | 1 | -8.25 | -5.25 | 68.06 | 68.06 |
2 | 41° 19' 24" | 1 | 41° 19' 24" | 2 | -2.25 | -2.25 | 5.06 | 5.06 |
3 | 41°19'25,5" | 2 | 82°38'51" | 4 | -0.75 | -1.5 | 0.56 | 1.12 |
4 | 41°19'27" | 2 | 82°38'54" | 6 | 0.75 | 1.5 | 0.56 | 1.12 |
5 | 41°19'28,5" | 1 | 41°19'28,5" | 7 | 2.25 | 2.25 | 5.06 | 5.06 |
6 | 41°19'32" | 1 | 41°19'32" | 8 | 5.75 | 3.75 | 33.06 | 33.06 |
∑ | 8 | 330°35'27.5" | 21.5 | 113.48 |
Estimadores de tendencia central
- Media aritmética
[pic 14]
- Mediana
[pic 15]
Tomando 𝑎 = 0 porque el intervalo de clase entre los términos no es constante.
- X BES (Best Easy Systematics)
[pic 16]
Estimadores de dispersión
- Rango
Rn = Xmayor - Xmenor = 41°19'32" - 41°19'18" = 14"
- Desviación Absoluta Media
[pic 17][pic 18]
- Desviación Standard para una observación
[pic 19]
- Desviación Standard de la media aritmética
[pic 20]
- Error probable: (Valor de confianza = 0,997)
Ep = 0.997*1.42 = 1.415
Xbes = [pic 21]
- Criterio de Rechazo
N | Xi | Fi |
2 | 41° 19' 24" | 1 |
3 | 41°19'25,5" | 2 |
4 | 41°19'27" | 2 |
Xbes = [pic 22] |
Dic 1 – α 2
N | Xi | Fi | Fi*Xi | Fa | Vi | Fi*Vi | [pic 23] | Fi*[pic 24] |
1 | 40°12'10.5" | 1 | 40°12'10.5" | 1 | -10.75 | -10.75 | 115.56 | 115.56 |
2 | 40°12'14.5" | 1 | 40°12'14.5" | 2 | -6.75 | -6.75 | 45.56 | 45.56 |
3 | 40°12'22.5" | 4 | 160°49'30" | 6 | 1.25 | 5 | 25 | 100 |
4 | 40°12'25.5" | 1 | 40°12'25.5" | 7 | 4.25 | 4.25 | 18.06 | 18.06 |
5 | 40°12'34.5" | 1 | 40°12'34.5" | 8 | 13.25 | 13.25 | 175.56 | 175.56 |
∑ | 8 | 321°38'55" | 40 | 454.74 |
...