1. Cuantas veces a la semana se lava el cabello?
8 – 7 – 7 – 4 – 5 – 3 – 3 – 7 – 3 – 7 – 4 – 7 – 7 – 7 – 4 – 10 – 10 - 10 – 10 - 16 –
7 – 7 – 5 – 5 – 5 – 4 – 4 – 2 – 3 – 5 – 7 – 3 – 3 – 4 – 7 – 4 – 7 – 10 – 8 – 9 –
5 – 3 – 7 – 2 – 5 – 5 – 7 – 7 – 7 – 7 – 5 – 4 – 3 – 7 – 3 – 5 – 4 – 7 – 7 – 14
Ordenados
2–2–3–3–3–3–3–3–3–3–3–4–4–4–4–4–4–4–4–4
5–5–5–5–5–5–5–5–5–5–7–7–7–7–7–7–7–7–7–7
7 – 7 – 7 – 7 – 7 – 7 – 7 – 7 – 7 – 7 – 8 – 8 – 9 – 10 – 10 – 10 – 10 – 10 – 14 – 16
N = 60 K = √60 = 7,75 8 Nº de clases
Rango:
R = Max – Min = 16 – 2  14 Rango
C = R/K = 14/8 = 1,75  2 Amplitud de classe
R’ = K * C = 8 * 2 = 16 Nº de Rangos
R’ – R = 16 – 14 = 2 Frecuencia acumulada
Intervalo de clase Frecuencia simple Menor que Mayor que
inf – Lsup f MC C h p F H P F* H* P*
x1 [ 2 – 4 [ 11 3 2 0,183 18% 11 0,18 18% 60 1 100%
x2 [ 4 – 6 [ 19 5 2 0,32 32% 30 0,5 5% 49 0,82 82%
x3 [ 6 – 8 [ 20 7 2 0,33 33% 50 0,83 83% 30 0,5 5%
x4 [ 8 – 10 [ 3 9 2 0,05 5% 53 0,88 88% 10 0,17 17%
x5 [ 10 – 12 [ 5 11 2 0,08 8% 58 0,97 97% 7 0,12 12%
x6 [ 12 – 14 [ 0 13 2 0 0% 58 0,97 97% 2 0,03 3%
x7 [ 14 – 16 [ 2 15 2 0,03 3% 60 1 100% 2 0,03 3%
N 60 1 100%
Histograma
1 3 5 7 9 11 13 15

2. 60 60
50 50
40 40
30 30
20 20
10 10
0 0
2 4 6 8 10 12 14 16 2 4 6 8 10 12 14 16
TORTA
χ ϝ α = f/n * 100%
1 11 18,33
2 19 31,67
3 20 33,33
4 3 5
5 5 8,33
6 0 0
7 2 3,33
60
f MC f*x C F F(x-x)² F(x-x)³ F(x-x) 4
[2–4[ 11 3 33 2 11 11(3-6,33)² = 121,98 -406,19 1352,60
[4–6[ 19 5 95 2 30 19(5-6,33)² = 33,61 -44,70 59,45
[6–8[ 20 7 140 2 50 20(7-6,33)² = 8,98 6,01 4,03
[ 8 – 10 [ 3 9 27 2 3 3(9-6,33)² = 21,39 57,10 152,46
[ 10 – 12 [ 5 11 55 2 58 5(11-6,33)² = 109,04 509,24 2378,14
[ 12 – 14 [ 0 13 0 2 58 0(13-6,33)² = 0 0 0
[ 14 – 16 [ 2 15 30 2 60 2(15-6,33)² = 150,34 1303,43 11300,73
60 380 445,34 406,41 15247,41
Media aritmética
x=