Calculo de errores y volúmenes
David GarayInforme18 de Mayo de 2018
5.085 Palabras (21 Páginas)176 Visitas
5) PARTE PRATICA
Nombres | L | H | P |
Eliel | 66.05 | 4.05 | 45.40 |
David | 66.08 | 4.00 | 46.01 |
Yemer | 66.05 | 4.03 | 45.45 |
Bianca | 63.90 | 4.02 | 45.30 |
Daniela | 66.10 | 4.08 | 45.35 |
Total | 66.036 | 4.036 | 45.502 |
Calculo de error. - (largo)
- Calculo de la desviación individual
D1 =|66.05-66.036|= 0.014
D2 =|66.08-66.036|= 0.044 ∑Di = 0.272
D3 =|66.05-66.036|= 0.014
D4 =|65.90-66.036|= 0.136
D5 =|66.10-66.036|= 0.064
- Desviación standart
rx = → rx = → rx = 0.136 [pic 2][pic 3]
- Calculo probable
→ = 0.060[pic 4][pic 5][pic 6]
- Frecuencia del valor verdadero
Fvv = x rx = 66.036 0.060 [pic 7][pic 8]
Fvv+ = 66.036 + 0.060 = 66.096
Fvv- = 66.036 – 0.060 = 65.976
- Calculo de error real
ER+ = ER– = [pic 9][pic 10]
ER+ = ER– = [pic 11][pic 12]
ER+ = 0.00205 ER– = 0.00206
- Error real porcentual
ER+ = 0.00205 * 100 = 0.02% ER– = 0.00206 * 100 = 0.02%
ER = 0.02%
Calculo de error (profundidad)
- Calculo de la desviación individual
D1 =|45.40 – 45.502|= 0.102
D2 =|46.01 – 45.502|= 0.508
D3 =|45.45 – 45.502|= 0.052 ∑Di = 1.016
D4 =|45.35 – 45.502|= 0.152
D5 =|45.30 – 45.502|= 0.202
- Desviación standart
rx = → rx = → rx = 0.508 [pic 13][pic 14]
- Calculo probable
→ = 0.508 [pic 15][pic 16][pic 17]
- Frecuencia del valor verdadero
Fvv = x rx = 45.502 0.227 [pic 18][pic 19]
Fvv+ = 45.502 + 0.227 = 45.729
Fvv– = 45.502 – 0.227 = 45.275
- Calculo de error real
ER+ = ER– = [pic 20][pic 21]
ER+ = ER– = [pic 22][pic 23]
ER+ = 0.0111 ER–= 0.0112
- Error real porcentual
ER+ = 0.0111 * 100 = 1.11% ER– = 0.0112 * 100 = 1.12%
Por lo tanto, tomamos el porcentaje menor
ER = 1.11%
Calculo de erro (altura)
- Calculo de la desviación individual
D1 =|4.05 – 4.036|= 0.014
D2 =|4.00 – 4.036|= 0.036 ∑ Di = 0.116
D3 =|4.03 – 4.036|= 0.006
D4 =|4.02 – 4.036|= 0.016
D5 =|4.08 – 4.036|= 0.044
- Desviación standart
rx = → rx = → rx = 0.058 [pic 24][pic 25]
- Calculo probable
→ = 0.0259[pic 26][pic 27][pic 28]
- Frecuencia del valor verdadero
Fvv = x rx = 4.036 0.0259 [pic 29][pic 30]
Fvv+ = 4.036 + 0.0259 = 4.0619
Fvv- = 4.036 – 0.0259 = 4.0101
- Calculo de error real
ER+ = ER– = [pic 31][pic 32]
ER+ = ER– = [pic 33][pic 34]
ER+ = 0.0143 ER– = 0.0145
- Error real porcentual
ER+ = 0.0143 * 100 = 1.43% ER – = 0.0145 * 100 = 1.45%
Por lo tanto, tomamos el porcentaje menor
ER = 1.43%
Paralelepípedo con ranura
Calculo de error (largo)
Ranura |
Nombre | L | h | P | L | h |
Yemer | 76.9 | 60.40 | 36.61 | 6.80 | 13.40 |
Eliel | 76.10 | 60.41 | 36.80 | 6.81 | 13.40 |
Daniela | 73.35 | 60.40 | 36.59 | 7.10 | 13.60 |
Bianca | 73.11 | 60.00 | 36.60 | 6.60 | 12.90 |
David | 75.80 | 58.90 | 35.90 | 6.30 | 13.30 |
Total | 75.052 | 60.002 | 36.46 | 6.722 | 13.32 |
- Calculo de la desviación individual
D1 =|76.9 – 75.052| = 1.848
D2 =|76.10 – 75.052|= 1.048 ∑Di = 7.288
D3=|73.35 – 75.052|= 1.702
D4 =|73.35 – 75.052|= 1.942
D5 =|75.80 – 75.052|= 0.748
- Desviación standart
rx = → rx = → rx = 3.644 [pic 35][pic 36]
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