Mate

Ejercicio #16

Intervalos de clase | Marca de clase | Frecuencia de clase | Grados sexagesimal | Frecuencia acumulada porcentual | Xᶠ | F/X | | |
35-39 | 37 | 8 | 8°31°14.56° | 2.37 |3512479453921 | 0.21 | | |
40-44 | 42 | 19 | 20°14°12.07° | 5.62 | 6946027806x₁₀³⁰ | 0.45 | | |
45-49 | 47 | 32 | 34°4°58.22° | 9.47 | 3.214633409x₁₀⁵³ | 0.68 | | |
50-59 | 54.5 | 57 |60°42°36.21° | 16.86 | 9.431931321x₁₀⁹⁸ | 1.04 | | |
60-69 | 64.5 | 80 | 85°12°25.56° | 23.67 | 5.8180462702874228484854241380897 | 1.24 | | |
70-84 | 77 | 64 | 68°9°56.45° | 18.93 |5.4375894091967550109295198216458 | 0.83 | | |
85-94 | 89.5 | 38 | 40°28°24.14° | 11.24 | 1.476642425495x₁₀⁷⁴ | 0.42 | | |
95-104 | 99.5 | 26 | 27°41°32.31° | 7.69 | 8.778091417x₁₀⁵¹ | 0.26 | | |
105-124 | 114.5| 14 | 14°54°40.47° | 4.14 | 6.656973275x₁₀²⁸ | 0.12 | | |
| | 338 | 360° | 100 | | | | |

Media aritmética
x=F1k2+F2K2+F3k3+…+FnKn F1+f2+f3+…+fn=j1nf1x1j1nf+fxf=fxNx=fxn=378+4219+4732+54.557+64.580+7764+89.538+99.526+114.5148+19+32+57+80+64+38+26+14

=296+798+1504+3106+5160+4928+3401+2587+1603338
=23383338=69.18

Media geométrica
G=nX1ᶠ¹X2ᶠ²…Xn=338(378)(4219)473254.55764.580776489.53899.526(114.514)3383,512,479,453,921*6,946,027,806,565,873,025,328,496,508,928*3.2146334091402826047624306247824e*9.4319313210737693285667329597819*5.8180462702874228484854241380897*5.4375894091967550109295198216458*1.4766424254957975559502069952542*8.265651079747222278921930213067*66,569,732,753,159,504,911,030,446,950.237

=33866,569,732,753,159,504,911,030,446,950.237=1.232086114G=1232086114

Media armónica
H= N/∑ f/X =3385.25=64.38
Moda
64.5

Mediana
Mediana=L1 N2-(f)f medianaC Mediana=59.53382-(117)57(5)Mediana=59.5169-11657C Mediana=59.55357(5)
Mediana=59.5+4.64 =64.14
Varianza
S2=f(x-x)²N=fx-x2N=fx²N=(x-x)²
x-x ̅ | (x-x ̅)² | f(x-x ̅)² |
-32.18 | -1035.55 | -8284.4 |
-27.18 | -738.75 |...