La Caca

Se toma una muestra aleatoria de la estatura de 30 alumnos de un salón cualquiera la muestra es la siguiente:
150 170 171 149 162 173 150 167 157 157
151 173 160 175 173 175 162 178 168 170
172150 154 168 159 156 155 150 158 158
TALLO 1 |
| HOJA 49 | 50 | 50 | 50 | 50 | 51 | 54 | 55 | 56 | 57 |
57 | 58 | 58 | 59 | 60 | 62 | 62 | 67 | 68 | 68 |
70 | 70 | 71 | 72 | 73 | 73 | 73 | 75 |75 | 78 |
|
149 150 150 150 150 151 154 155 156 157
157 158 158 159 160 162 162 167 168 168
170 170 171 172 173 173 173 175 175 178

MEDIA ARITMETICA x=fx1n
x=4868/30=162.2
MEDIANA
160MODA x=N2∑ fa|fm|
150
MEDIDAS DE DISPERCION
a) RANGO
Dato mayor – Dato menor
178-149 = 29
DESVIACION MEDIA x=i=1|xi-x|n
3.6/30=0.12
c) DEVIACION CUADRATICA MEDIA x=∑xi-x2n-12,568.76/30-1=84.62

d) DESVIACION ESTANRDAR O TIPICA x=∑ xi-x2n-1

84.62= 9.19

Xi | fi | Fi xi | |xi-x”| | (xi-x)2 (f1) |
149 | 1 | 1(149)=149 ||149-162.2|=-13.2 | (149-162.2)21=174.24 |
150 | 4 | 4(150)=600 | |150-162.2|=-12.2 | (150-162.2)24=596.36 |
151 | 1 | 1(151)=151 | |151-162.2|=-11.2 | (151-162.2)21=125.44 |
154 | 1 | 1(154)=154 ||154-162.2|=-8.2 | (154-162.2)21=67.24 |
155 | 1 | 1(155)=155 | |155-162.2|=-7.2 | (155-162.2)21=51.84 |
156 | 1 | 1(156)=156 | |156-162.2|=-6.2 | (156-162.2)21=38.44 |
157 | 2 | 2(157)=314 ||157-162.2|=-5.2 | (157-162.2)22=27.04 |
158 | 2 | 2(158)=316 | |158-162.2|=-4.2 | (158-162.2)22=35.28 |
159 | 1 | 1(159)=159 | |159-162.2|=-3.2 | (159-162.2)21=10.24 |
160 | 1 | 1(160)=160 ||160-162.2|=-2.2 | (160-162.2)21=4.84 |
162 | 2 | 2(162)=324 | |162-162.2|=-0.2 | (|162-162.2)22=0.08 |
167 | 1 | 1(167)=167 | |167-162.2|=4.8 | (167-162.2)21=23.04 |
168 | 2 | 2(168)=336 ||168-162.2|=5.8 | (168-162.2)22=67.28 |
170 | 2 | 2(170)=340 | |170-162.2|=7.8 | (170-162.2)22=46.08 |
171 | 1 | 1(171)=171 | |171-162.2|=8.8 | (171-162.2)21=81 |
172 | 1 | 1(172)=172 | |172-162.2|=9.8...