valor medio (w) frecuencia (f) F.A. F.R. % F.R.A. % w-media fw fw2 varianza sesgo curtosis25,5 - 26,0 25.75 222 222 0.60 0.60 -4.34 5716.5 32678372.25 4184.65 -18168.19 78879.5526,0 - 26,5 26.25 295 517 0.80 1.41 -3.84 7743.75 59965664.0625 4353.65 -16725.10 64251.6726,5 - 27,0 26.75 543 1060 1.48 2.89 -3.34 14525.25 210982887.563 6063.41 -20261.67 6770727,0 - 27,5 27.25 856 1916 2.33 5.22 -2.84 23326 544102276 6912.08 -19641.59 55814.1427,5 - 28,0 27.75 1126 3042 3.07 8.29 -2.34 31246.5 976343762.25 6174.12 -14457.51 33854.1528,0 - 28,5 28.25 1917 4959 5.22 13.51 -1.84 54155.25 2932791102.56 6501.70 -11973.74 22051.228,5 - 29,0 28.75 2210 7169 6.02 19.53 -1.34 63537.5 4037013906.25 3977.94 -5336.93 7160.18229,0 -29,5 29.25 3531 10700 9.62 29.16 -0.84 103281.75 10667119883 2501.16 -2105.05 1771.67429,5 - 30,0 29.75 4226 14926 11.52 40.67 -0.34 125723.5 15806398452 493.22 -168.50 57.5647130,0 - 30,5 30.25 5672 20598 15.46 56.13 0.16 171578 29439010084 142.26 22.53 3.56797430,5 - 31,0 30.75 6125 26723 16.69 72.82 0.66 188343.75 35473368164 2654.88 1747.89 1150.7631,0 - 31,5 31.25 5283 32006 14.40 87.21 1.16 165093.75 27255946289 7088.83 8211.49 9511.93731,5 - 32,0 31.75 3014 35020 8.21 95.42 1.66 95694.5 9157437330.25 8289.07 13746.34 22796.5132,0 -32,5 32.25 1286 36306 3.50 98.93 2.16 41473.5 1720051202.25 5990.91 12930.59 27908.9932,5 - 33,0 32.75 348 36654 0.95 99.88 2.66 11397 129891609 2459.29 6537.70 17379.6333,0 - 33,5 33.25 45 36699 0.12 100.00 3.16 1496.25 2238764.0625 448.89 1417.76 4477.795

36699 1104332.75 1.3845E+11 68236.06 -64223.96 414776.3

P2O5 %

m3: -1.75

media: 30.09 2.54moda: 30.75 sesgo: -0.69varianza: 1.86 m4: 11.302115desviacion estándar: +- 1.36 s4 3.45734765coeficiente de variacion 0.05 curtosis: 3.26901316

intervalos de confianza + -µ +/- σ 31.46 28.73µ +/- 2σ 32.8188228 27.3644383µ +/- 3σ 34.182419 30.6140556

s3

25.75 26.25 26.75 27.25 27.75 28.25 28.75 29.25 29.75 30.25 30.75 31.25 31.75 32.25 32.75 33.250

1000

2000

3000

4000

5000

6000

7000

histograma

3 4 5 6 7 8 925

26

27

28

29

30

31

32

33

34f(x) = − 1.84487537595755 x + 40.8748097398883R² = 0.980442740240501f(x) = − 0.0530774411059664 x² − 1.19659858830631 x + 38.9767398441238

R² = 0.981437903635451

x2 y2 xy25.75 8.02 663.06 64.32 206.5226.25 7.89 689.06 62.25 207.1126.75 7.29 715.56 53.14 195.0127.25 7.61 742.56 57.91 207.3727.75 7.24 770.06 52.42 200.9128.25 7.04 798.06 49.56 198.8828.75 6.75 826.56 45.56 194.0629.25 6.24 855.56 38.94 182.5229.75 5.92 885.06 35.05 176.1230.25 5.6 915.06 31.36 169.4030.75 5.44 945.56 29.59 167.2831.25 5.24 976.56 27.46 163.7531.75 5.09 1008.06 25.91 161.6132.25 4.79 1040.06 22.94 154.4832.75 4.61 1072.56 21.25 150.9833.25 3.88 1105.56 15.05 129.01

472 98.65 14009 632.7243 2865.0025

P2O5 % R2O3 %

X 29.50 870.25

Y 6.17 38.01XY 181.8859375m1 5.31 sx 2.30m2 1.53 sy 1.24

m3= -2.82328125

-0.990173086001

X2

Y2

coeficiente de correlación