ESTADISTICA

ESTADISTICA

UNIVERSIDAD NACIONAL MAYOR DE SAN MARCOSUniversidad del Per, Decana de Amrica

FACULTAD DE INGENIERIA GEOLGICA, MINERA, METALRGICA, GEOGRFICA Y CIVIL.

E.A.P. INGENIERA DE MINASESTADISTICA

PRESENTADO POR:Rivera Silvestre Eder Anthony

PROFESOR: Ing. Bernuy

FECHA DE ENTREGA: 10 de Mayo de 2014

AgAuAgAu.AgAut=m+a*Ag(Aut-Au)(Aut-Au)Au*Aut(Au_Aupromedio)

11.21.5001.441.81.3323999140.02808979-0.171.9985998718572.7835

21.41.0971.961.53581.367209140.073012980.271.499828431.203409

31.40.7681.961.07521.367209140.359051590.601.050016620.589824

42.11.0824.412.27221.4890414290.165682720.411.611142831.170724

51.70.5452.890.92651.4194229780.764615540.870.773585520.297025

61.30.4701.690.6111.3498045270.774056010.880.634408130.2209

74.80.44923.042.15521.9589659732.279997241.510.879575720.201601

820.26640.5321.4716368161.453560131.210.391455390.070756

91.90.1713.610.32491.4542322031.646684891.280.248673710.029241

100.80.9390.640.75121.2627814630.104834440.321.185751790.881721

111.40.4281.960.59921.367209140.882113810.940.585165510.183184

121.41.2771.961.78781.367209140.008137690.091.745926071.630729

130.90.7700.810.6931.2801860760.260289830.510.985743280.5929

140.30.3660.090.10981.1757583990.655708670.810.430327570.133956

150.50.8250.250.41251.2105676250.148662390.390.998718290.680625

1622.47944.9581.4716368161.01478058-1.013.648187676.145441

173.52.83212.259.9121.7327060081.20844728-1.104.907023418.020224

180.10.8430.010.08431.1409491740.088773710.300.961820150.710649

191.81.6383.242.94841.4368275910.04047034-0.202.353523592.683044

202.32.2005.295.061.5238506540.45717794-0.683.352471444.84

213.53.47812.2512.1731.7327060083.04605112-1.756.0263514912.096484

2265.0843630.5042.1678213278.50409806-2.9211.021203625.847056

234.82.73823.0413.14241.9589659730.60689401-0.785.363648847.496644

242.43.5905.768.6161.5412552674.19735498-2.055.5331064112.8881

254.83.64123.0417.47681.9589659732.82923847-1.687.1325951113.256881

265.32.37928.0912.60872.0459890370.1108963-0.334.867407925.659641

273.31.12010.893.6961.6978967820.333964690.581.90164441.2544

282.40.5315.761.27441.5412552671.02061571.010.818406550.281961

291.20.8491.441.01881.3323999140.233675480.481.131207530.720801

300.70.2870.490.20091.245376850.918486190.960.357423160.082369

313.50.22612.250.7911.7327060082.270162991.510.391591560.051076

321.30.5811.690.75531.3498045270.59106040.770.784236430.337561

331.10.3281.210.36081.3149953010.974159720.990.431318460.107584

340.60.2000.360.121.2279722381.056726921.030.245594450.04

350.21.0590.040.21181.1583537870.009871170.101.226696661.121481

360.10.8090.010.08091.1409491740.110190250.330.923027880.654481

371.70.2002.890.341.4194229781.48699241.220.28388460.04

380.70.4340.490.30381.245376850.658332390.810.540493550.188356

3910.64910.6491.2975906890.420669880.650.842136360.421201

400.34.4260.091.32781.17575839910.5640705-3.255.2039066819.589476

410.12.0390.010.20391.1409491740.80649529-0.902.326395374.157521

420.21.3920.040.27841.1583537870.05459055-0.231.612428471.937664

430.10.1160.010.01161.1409491741.050520811.020.13235010.013456

440.12.4130.010.24131.1409491741.6181133-1.272.753110365.822569

450.82.5160.642.01281.2627814631.5705567-1.253.177158166.330256

462.22.6894.845.91581.5064460421.39843386-1.184.050833417.230721

471.11.3581.211.49381.3149953010.0018494-0.041.785763621.844164

480.10.0010.010.00011.1409491741.299484121.140.001140950.000001

490.10.5490.010.05491.1409491740.350403820.590.62638110.301401

500.42.4000.160.961.1931630121.45645552-1.212.863591235.76

510.64.6990.362.81941.22797223812.0480337-3.475.7702415422.080601

520.12.0720.010.20721.1409491740.86685564-0.932.364046694.293184

530.11.0710.010.10711.1409491740.004892890.071.221956571.147041

540.11.6850.010.16851.1409491740.2959913-0.541.922499362.839225

550.10.2490.010.02491.1409491740.795573330.890.284096340.062001

561.47.8851.9611.0391.3672091442.4815977-6.5210.780444162.173225

570.34.8080.091.44241.17575839913.193179-3.635.6530463823.116864

580.11.9930.010.19931.1409491740.72599061-0.852.27391173.972049

590.21.3380.040.26761.1583537870.03227276-0.181.549877371.790244

600.71.0630.490.74411.245376850.033261320.181.323835591.129969

610.71.1300.490.7911.245376850.013311820.121.407275841.2769

620.60.3920.360.23521.2279722380.698849580.840.481365120.153664

630.80.2530.640.20241.2627814631.01965861.010.319483710.064009

640.70.2730.490.19111.245376850.945516740.970.339987880.074529

650.10.1360.010.01361.1409491741.009922841.000.155169090.018496

660.21.8000.040.361.1583537870.41170986-0.642.085036823.24

679.11.51182.8113.75012.7073643221.431287591.204.090827492.283121

683.52.93812.2510.2831.7327060081.45273361-1.215.090690258.631844

693.53.59312.2512.57551.7327060083.46069374-1.866.2256126912.909649

705.73.95932.4922.56632.1156074883.39809595-1.848.3756900515.673681

713.63.52412.9612.68641.750110623.14668353-1.776.1673898312.418576

721.33.0251.693.93251.3498045272.80627987-1.684.083158699.150625

730.50.5090.250.25451.2105676250.492197130.700.616178920.259081

740.80.3100.640.2481.2627814630.907792520.950.391462250.0961

750.50.3420.250.1711.2105676250.754409720.870.414014130.116964

760.40.2460.160.09841.1931630120.897117770.950.29351810.060516

770.20.0500.040.011.1583537871.228448121.110.057917690.0025

780.10.6510.010.06511.1409491740.240050190.490.742757910.423801

790.10.3500.010.0351.1409491740.62560060.790.399332210.1225

800.10.3950.010.03951.1409491740.556440170.750.450674920.156025

810.11.9440.010.19441.1409491740.64489063-0.802.218005193.779136

820.11.4150.010.14151.1409491740.07510386-0.271.614443082.002225

830.20.2960.040.05921.1583537870.743654050.860.342872720.087616

840.11.1280.010.11281.1409491740.000167680.011.286990671.272384

850.21.3350.040.2671.1583537870.03120388-0.181.546402311.782225

860.34.3070.091.29211.1757583999.80467396-3.135.0639914318.550249

870.40.6990.160.27961.1931630120.244197080.490.834020950.488601

880.60.0900.360.0541.2279722381.294980811.140.11051750.0081

898.50.29572.252.50752.6029366465.326571562.310.767866310.087025

903.60.42312.961.52281.750110621.76122261.330.740296790.178929

912.50.2626.250.6551.558659881.681326841.300.408368890.068644

921.30.2321.690.30161.3498045271.249486961.120.313154650.053824

931.21.3441.441.61281.3323999140.00013456-0.011.790745481.806336

940.30.0980.090.02941.1757583991.161563171.080.115224320.009604

950.10.9620.010.09621.1409491740.032022810.181.097593110.925444

960.10.5410.010.05411.1409491740.359939010.600.61725350.292681

970.20.6040.040.12081.1583537870.307308120.550.699645690.364816

980.10.2080.010.02081.1409491740.870394160.930.237317430.043264

990.10.2120.010.02121.1409491740.862946570.930.241881220.044944

1007.10.11050.410.7812.3592720675.059224832.250.259519930.0121

(Total)146.2137.8555.96261.0249137.8189.4500240.00200.2345918960.1979

VALORES MEDIOS XAu = (FMAu*MCAu )/FMAu XAu = (35*0.25+18*0.75+16*1.25+6*1.75+7*2.25+5*2.75+2*3.25+5*3.75+2*4.25+3*4.75+0+0+0+0+0+7.75+0+0+0)/ 100XAu =1.38XAg = (FMAg*MCAg)/FMAgXAg = (42*0.25+15*0.75+13*1.25+7*1.75+6*2.25+0+6*3.25+2*3.75+ 0+3*4.75+5.25+2*5.75+0+0+7.25+0+8.25+0+9.25)/100XAg=1.465

VARIANZA RESIDUAL:(Aut-Au)/N189.450024/1001.89450024ERROR ESTANDAR DE ESTIMACIN:(Varianza residual)1/2 1.376408457COEFICIENTE DE CORRELACION:r= (Aut-Au) / (Au-Aupromedio) r= 189.45 / 18960.2r=0.09995992 Au=m+aAgmAg + aAg = AuAg ..... (1)nm + aAg = Au .....(2)En (1):146.2m + a555.96 = 261.0249En (2):100m + 146.2a = 137.81.462*(2) - (1):1.462*146.2*a - 555.96*a = 1.462*137.8 - 261.0249-342.2156*a = -59.5613a= 0.1740461276De (2):100m -146.2*a = 137.8m= 1.123544561VARIANZAS(Au)= ((FMAu*MCAu )/FMAu ) - (XAu)(Au)= ((35*0.25+18*0.75+16*1.25+6*1.75+7*2.25+5*2.75+2*3.25+5*3.75+2*4.25+3*4.75+0+0+0+0+0+7.75+0+0+0)/100) - 1.38(Au)= 3.8425-1.9044(Au)= 1.938(Ag) = ((FMAg*MCAg)/FMAg) - (XAg)(Ag) = (42*0.25+15*0.75+13*1.25+7*1.75+6*2.25+0+6*3.25+2*3.75+ 0+3*4.75+5.25+2*5.75+0+0+7.25+0+8.25+0+9.25)/100- 1.465(Ag)= 5.4225-2.146225(Ag)= 3.276275

Desviacin Tpica del Au :dAu = Varianza (Au)1/2dAu= (1.938)1/2dAu=1.392120684Covarianza del (Au, Aut):COV=(Au*Aut)/n - ((Au)/n)(((At)/n)Cov= [200.23459/100] - (137.8 /100)(137.8/100)Cov= 0.1034619CORRELACION:Correlacin = Cov (Aut,Au)/ dAut.dAuCorrelacin = 0.1034619 / 1.392120684*1.376408457Correlacin = 0.05399533389

UNMSM-ING. DE MINAS 7