Biologia

2-DETERMINAR LOS SIGUIENTES VALORES DE TENDENCIA CENTRAL:
a) La media aritmética por el método clave:
_
Х clave = 164.5+(-175/120) 30=120.75b) la media aritmética por el método largo:
_
Х largo = 14490/120 = 120.75


c) la media aritmética por el método corto:
_
Хcorto =104.5+ (1950/120) =120.75

**MODA:**
Li + ( ∆1 ) + c ∆ 1 = 37-16=21
∆2+∆2∆2 = 37-17 = 20
Moda = 89.5 + ( 21/21+20 ) 30=104.865854
Li = 89+90=179÷2=89.5
e) MEDIANA
A).- li = 89+90=179÷2=89.5
120/2=60 mediana = 89.5+ (27/37) + 30 = 11.391892
60 – 33 = 27
B).- 89.5+ [60-33/37] 30= 89.5+ (27/37)30= 11.391892
_
Х largo = 14490/120 = 120.75f) MEDIANA GEOMETRICA:

-1
G =log = £ flog x/N
Log G = 241.5953643/120
Log G=

G) LA MEDIA ARMONICAH=1116+111+116+137+117+111+114+13+13+11+11=
6 | 11 | 16 | 37 | 17 | 11 | 14 | 3 | 3 |
3 | 11 | 8 | 37 | 17 | 11 | 7 | 3 | 3 |
3 | 11 | 4 | 37 | 17 | 11 | 7 | 3 | 3 |
3 |11 | 2 | 37 | 17 | 11 | 7 | 3 | 3 |
3 | 11 | 1 | 37 | 17 | 11 | 7 | 3 | 3 |
1 | 11 | 1 | 37 | 17 | 11 | 7 | 1 | 1 |
1 | 11 | 1 | 37 | 17 | 11 | 1 |1 | 1 |
1 | 1 | 1 | 37 | 17 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 37 | 1 | 1 | 1 | 1 | 1 |
1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 | 1 |
2
2
2
2
3
7
11
1737= 2324784

H=11387464+211344+145299+62832+136752+211344+166056+774928+774928+2324784+2324784=7520515
11175205152324784 = 255726247520515 = 3.400382