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intervalo | frecuencia (ƒ) | X | ƒX | Frecuencia Acumulada ƒa | X-Ẋ | (X-Ẋ)2 | ƒ(X-Ẋ) ƒ(X-Ẋ)2 ƒ(X-Ẋ) |
46-54 | 1 | 50 | 50 | 1 | -30.53 | 932.08 | 932.08 |
55-63 | 2 | 59 | 118 | 3 | -21.53 | 463.54 | 927.08 |
64-72 | 5 | 68 | 340 | 8 | -12.53 | 157 | 785 |
73-81 | 5 | 77 | 385 | 13 | -3.53 | 12.46 | 62.3 |
82-90 | 7 | 86 | 602 | 20 | 5.47 | 29.92 | 209.44 |
91-90 | 8 | 95 | 760 | 28 | 14.47 | 209.38 | 1675.04 |
n=28 | ∑ ƒx=2255 | ∑ ƒ(X-Ẋ)2 =4590.94 |
Media
Ẋ = fx = 2255
n 28 80.53
n 28 80.53
Mediana
Md=Li+ (n/2 – fa-1)a= 73+(28/2 – 8)9
f 5
Md=73+10.8
f 5
Md=73+10.8
Md=83.8
Moda= Bimodal en 5
Rango
R=Valor máximo-Valor mínimo= 99-46=53
Desviación estándar
S=√ fx(x- Ẋ)2 = √ 4590.94
n 28
n 28
S=√163.962=12.80
Varianza
s2= ( 12.80) 2=
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