Medida de tendencia central ejemplos

CONJUNTO DE NÚMEROS NO AGRUPADOS:
3,3,5,9,2,3,7,9,8,12,15,20,2,4,1,5,2,6,7,9
Media aritmética:3+3+5+9+2+3+7+9+8+12+15+20+2+4+1+5+2+6+7+920= 6.6
Media geometrica:
20(3*3*5*9*2*3*7*9*8*12*15*20*2*4*1*5*2*6*7*9)=5.08Media armonica:2013+13+15+19+12+13+17+19+18+112+115+120+12+14+1+15+12+16+17+19=3.80

Relacion: 3.80 < 5.08 < 6.6
Tabla confrecuencias:
x | f |
1 | 1 |
2 | 3 |
3 | 3 |
4 | 1 |
5 | 2 |
6 | 1 |
7 | 2 |
8 | 1 |
9 | 3 |
12 | 1 |
15 |1 |
20 | 1 |
total | 20 |
moda = tiene tres modas: 2,3 y 9.
mediana = 5+62=5.5
7,3,3,1,8,12,15,13,19,1,2,6,9,12,10,11,4,8,14,19,11
Media aritmética:7+3+3+1+8+12+15+13+19+1+2+6+9+12+10+11+4+8+14+19+1121=8.95
Media geométrica:
21(7*3*3*1*8*12*15*13*19*1*2*6*9*12*10*11*4*8*14*19*11)=6.79
Media armónica:2117+13+13+1+18+112+115+113+119+1+12+16+19+112+110+111+14+18+114+119+111=4.32
Relación: 4.32 < 6.79 < 8.95
Tabla con frecuencias:x | f |
1 | 2 |
2 | 1 |
3 | 2 |
4 | 1 |
6 | 1 |
7 | 1 |
8 | 2 |
9 | 1 |
10 | 1 |
11 | 2 |
12 | 2 |13 | 1 |
14 | 1 |
15 | 1 |
19 | 2 |
total | 21 |
moda = tiene 6 modas: 1, 3, 8, 11, 12,19.

mediana= 9