Estadistica
Páginas: 9 (2189 palabras)
Publicado: 23 de mayo de 2012
x | f | fa | fx | fx | x-x | (x-x)2 | f(x-x)2 | Sf(x-x)2 |
1.5 | 1 | 1 | 1.5 | 1.5 | -2.7 | 7.2 | 7.2 | 7.2 |
1.6 | 1 | 2 | 1.6 | 3.1 | -2.6 | 6.7 | 6.7 | 13.9 |
2 | 10 | 12 | 20 | 23.1 | -2.2 | 4.8 | 48 | 61.9 |
2.1 | 1 | 13 | 2.1 | 25.2 | -2.1 | 4.4 | 4.4 | 66.3 |
2.5 | 1 | 14 | 2.5 | 27.7 | -1.7 | 2.8 | 2.8 | 69.1 |
2.9 | 1 | 15 | 2.9 | 30.6 | -1.3 | 1.6 | 1.6 | 70.7 |
3 | 4 | 19 | 12| 42.6 | -1.2 | 1.4 | 5.6 | 76.3 |
3.1 | 2 | 21 | 6.2 | 48.8 | -1.1 | 1.2 | 2.4 | 78.7 |
3.3 | 1 | 22 | 3.1 | 51.9 | -0.9 | 0.8 | 0.8 | 79.5 |
3.4 | 1 | 23 | 3.4 | 55.3 | -0.8 | 0.6 | 0.6 | 80.1 |
3.5 | 1 | 24 | 3.5 | 58.8 | -0.7 | 0.4 | 0.4 | 80.5 |
3.7 | 1 | 25 | 3.7 | 62.5 | -0.5 | 0.2 | 0.2 | 80.7 |
4 | 2 | 27 | 8 | 70.5 | -0.2 | 0.04 | 0.08 | 80.78 |
4.1 | 2 | 29 | 8.2 | 78.7 | -0.1 |0.01 | 0.02 | 80.8 |
4.5 | 1 | 30 | 4.1 | 82.8 | 0.3 | 0.09 | 0.09 | 80.89 |
4.65 | 1 | 31 | 4.65 | 87.45 | 0.45 | 0.2 | 0.2 | 81.09 |
5 | 5 | 36 | 25 | 112.45 | 0.8 | 0.6 | 3 | 84.09 |
5.3 | 1 | 37 | 5.3 | 117.75 | 1.1 | 1.2 | 1.2 | 85.29 |
5.95 | 1 | 38 | 5.95 | 123.7 | 1.75 | 3 | 3 | 88.29 |
6 | 4 | 42 | 24 | 147.7 | 1.8 | 3.2 | 12.8 | 101.09 |
6.1 | 1 | 43 | 6.1 | 153.8 | 1.9 | 3.6 |3.6 | 104.69 |
7 | 1 | 44 | 7 | 160.8 | 2.8 | 7.8 | 7.8 | 112.49 |
7.1 | 1 | 45 | 7.1 | 167.9 | 2.9 | 8.4 | 8.4 | 120.89 |
7.4 | 1 | 46 | 7.4 | 175.3 | 3.2 | 10.2 | 10.2 | 131.09 |
8 | 1 | 47 | 8 | 183.3 | 3.8 | 14.4 | 14.4 | 145.49 |
9.2 | 1 | 48 | 9.2 | 192.5 | 5 | 25 | 25 | 170.49 |
9.25 | 1 | 49 | 9.25 | 201.75 | 5.05 | 25.5 | 25.5 | 195.99 |
12 | 1 | 50 | 12 | 213.75 | 7.8 | 60.8 | 60.8| 256.79 |
DISTRIBUCION DE FRECUENCIA SIMPLE
MeMedia aritmética= ẍ=∑fx/N=213.79/50=4.2 |
MODA= 2 | | | |
MEDIANA=4.1 | | |
x | f | fa | fx | fx | x-x | |x-ẍ| | f|x-ẍ| | ∑f|x-ẍ| |
1.5 | 1 | 1 | 1.5 | 1.5 | -2.7 | 2.7 | 2.7 | 2.7 |
1.6 | 1 | 2 | 1.6 | 3.1 | -2.6 | 2.6 | 2.6 | 5.3 |
2 | 10 | 12 | 20 | 23.1 | -2.2 | 2.2 | 22 | 27.3 |
2.1 | 1 | 13 | 2.1 | 25.2 | -2.1 | 2.1 | 2.1 | 29.4|
2.5 | 1 | 14 | 2.5 | 27.7 | -1.7 | 1.7 | 1.7 | 31.1 |
2.9 | 1 | 15 | 2.9 | 30.6 | -1.3 | 1.3 | 1.3 | 32.4 |
3 | 4 | 19 | 12 | 42.6 | -1.2 | 1.2 | 4.8 | 37.2 |
3.1 | 2 | 21 | 6.2 | 48.8 | -1.1 | 1.1 | 2.2 | 39.4 |
3.3 | 1 | 22 | 3.1 | 51.9 | -0.9 | 0.9 | 0.9 | 40.3 |
3.4 | 1 | 23 | 3.4 | 55.3 | -0.8 | 0.8 | 0.8 | 40.6 |
3.5 | 1 | 24 | 3.5 | 58.8 | -0.7 | 0.7 | 0.7 | 41.3 |
3.7 | 1 | 25 |3.7 | 62.5 | -0.5 | 0.5 | 1 | 42.3 |
4 | 2 | 27 | 8 | 70.5 | -0.2 | 0.2 | 0.4 | 42.7 |
4.1 | 2 | 29 | 8.2 | 78.7 | -0.1 | 0.1 | 0.1 | 42.8 |
4.5 | 1 | 30 | 4.1 | 82.8 | 0.3 | 0.3 | 0.3 | 43.1 |
4.65 | 1 | 31 | 4.65 | 87.45 | 0.45 | 0.45 | 2.25 | 45.35 |
5 | 5 | 36 | 25 | 112.45 | 0.8 | 0.8 | 0.8 | 46.16 |
5.3 | 1 | 37 | 5.3 | 117.75 | 1.1 | 1.1 | 1.1 | 47.25 |
5.95 | 1 | 38 | 5.95 | 123.7| 1.75 | 1.75 | 7 | 54.25 |
6 | 4 | 42 | 24 | 147.7 | 1.8 | 1.8 | 1.8 | 56.05 |
6.1 | 1 | 43 | 6.1 | 153.8 | 1.9 | 1.9 | 1.9 | 57.95 |
7 | 1 | 44 | 7 | 160.8 | 2.8 | 2.8 | 2.8 | 60.75 |
7.1 | 1 | 45 | 7.1 | 167.9 | 2.9 | 2.9 | 2.9 | 63.65 |
7.4 | 1 | 46 | 7.4 | 175.3 | 3.2 | 3.2 | 3.2 | 66.85 |
8 | 1 | 47 | 8 | 183.3 | 3.8 | 3.8 | 3.8 | 70.65 |
9.2 | 1 | 48 | 9.2 | 192.5 | 5 | 5 | 5 | 75.65|
9.25 | 1 | 49 | 9.25 | 201.75 | 5.05 | 5.05 | 5.05 | 80.7 |
12 | 1 | 50 | 12 | 213.75 | 7.8 | 7.8 | 7.8 | 88.5 |
DESVIACION MEDIA
D.M=∑f|x-ẍ|/n=88.5/50=1.7
Varianza= S=∑f(x-ẍ)²/N= 256.79/50=5.13 | | |
Desviación estándar= √∑f(x-ẍ)²/N=√256.79/50=√5.13=2.26 |
VI
SProfesor: Sergio Cruz Vivas
Alumna: María José Jiménez Hernández
Materia: Estadística
Trabajo: SEMESTRALLicenciatura en nutrición
01-05-12
DISTRIBUCION DE FRECUENCIA CON INTERVALOS
IC | x | f | fa | fx | fx | x-x | (x-x)2 | f(x-x)2 | Sf(x-x)2 |
1.6 - 4.6 | 3.1 | 31 | 31 | 96.1 | 96.1 | -1.4 | 1.9 | 58.9 | 58.9 |
4.7 - 7.7 | 6.1 | 15 | 46 | 91.5 | 187.6 | -1.3 | 1.6 | 24 | 82.9 |
7.8 - 10.8 | 9.1 | 3 | 49 | 27.9 | 215.5 | 4.6 | 21.1 | 63.3 | 146.2 |
10.9 - 13.9 | 12.2 | 1 | 50...
1.5 | 1 | 1 | 1.5 | 1.5 | -2.7 | 7.2 | 7.2 | 7.2 |
1.6 | 1 | 2 | 1.6 | 3.1 | -2.6 | 6.7 | 6.7 | 13.9 |
2 | 10 | 12 | 20 | 23.1 | -2.2 | 4.8 | 48 | 61.9 |
2.1 | 1 | 13 | 2.1 | 25.2 | -2.1 | 4.4 | 4.4 | 66.3 |
2.5 | 1 | 14 | 2.5 | 27.7 | -1.7 | 2.8 | 2.8 | 69.1 |
2.9 | 1 | 15 | 2.9 | 30.6 | -1.3 | 1.6 | 1.6 | 70.7 |
3 | 4 | 19 | 12| 42.6 | -1.2 | 1.4 | 5.6 | 76.3 |
3.1 | 2 | 21 | 6.2 | 48.8 | -1.1 | 1.2 | 2.4 | 78.7 |
3.3 | 1 | 22 | 3.1 | 51.9 | -0.9 | 0.8 | 0.8 | 79.5 |
3.4 | 1 | 23 | 3.4 | 55.3 | -0.8 | 0.6 | 0.6 | 80.1 |
3.5 | 1 | 24 | 3.5 | 58.8 | -0.7 | 0.4 | 0.4 | 80.5 |
3.7 | 1 | 25 | 3.7 | 62.5 | -0.5 | 0.2 | 0.2 | 80.7 |
4 | 2 | 27 | 8 | 70.5 | -0.2 | 0.04 | 0.08 | 80.78 |
4.1 | 2 | 29 | 8.2 | 78.7 | -0.1 |0.01 | 0.02 | 80.8 |
4.5 | 1 | 30 | 4.1 | 82.8 | 0.3 | 0.09 | 0.09 | 80.89 |
4.65 | 1 | 31 | 4.65 | 87.45 | 0.45 | 0.2 | 0.2 | 81.09 |
5 | 5 | 36 | 25 | 112.45 | 0.8 | 0.6 | 3 | 84.09 |
5.3 | 1 | 37 | 5.3 | 117.75 | 1.1 | 1.2 | 1.2 | 85.29 |
5.95 | 1 | 38 | 5.95 | 123.7 | 1.75 | 3 | 3 | 88.29 |
6 | 4 | 42 | 24 | 147.7 | 1.8 | 3.2 | 12.8 | 101.09 |
6.1 | 1 | 43 | 6.1 | 153.8 | 1.9 | 3.6 |3.6 | 104.69 |
7 | 1 | 44 | 7 | 160.8 | 2.8 | 7.8 | 7.8 | 112.49 |
7.1 | 1 | 45 | 7.1 | 167.9 | 2.9 | 8.4 | 8.4 | 120.89 |
7.4 | 1 | 46 | 7.4 | 175.3 | 3.2 | 10.2 | 10.2 | 131.09 |
8 | 1 | 47 | 8 | 183.3 | 3.8 | 14.4 | 14.4 | 145.49 |
9.2 | 1 | 48 | 9.2 | 192.5 | 5 | 25 | 25 | 170.49 |
9.25 | 1 | 49 | 9.25 | 201.75 | 5.05 | 25.5 | 25.5 | 195.99 |
12 | 1 | 50 | 12 | 213.75 | 7.8 | 60.8 | 60.8| 256.79 |
DISTRIBUCION DE FRECUENCIA SIMPLE
MeMedia aritmética= ẍ=∑fx/N=213.79/50=4.2 |
MODA= 2 | | | |
MEDIANA=4.1 | | |
x | f | fa | fx | fx | x-x | |x-ẍ| | f|x-ẍ| | ∑f|x-ẍ| |
1.5 | 1 | 1 | 1.5 | 1.5 | -2.7 | 2.7 | 2.7 | 2.7 |
1.6 | 1 | 2 | 1.6 | 3.1 | -2.6 | 2.6 | 2.6 | 5.3 |
2 | 10 | 12 | 20 | 23.1 | -2.2 | 2.2 | 22 | 27.3 |
2.1 | 1 | 13 | 2.1 | 25.2 | -2.1 | 2.1 | 2.1 | 29.4|
2.5 | 1 | 14 | 2.5 | 27.7 | -1.7 | 1.7 | 1.7 | 31.1 |
2.9 | 1 | 15 | 2.9 | 30.6 | -1.3 | 1.3 | 1.3 | 32.4 |
3 | 4 | 19 | 12 | 42.6 | -1.2 | 1.2 | 4.8 | 37.2 |
3.1 | 2 | 21 | 6.2 | 48.8 | -1.1 | 1.1 | 2.2 | 39.4 |
3.3 | 1 | 22 | 3.1 | 51.9 | -0.9 | 0.9 | 0.9 | 40.3 |
3.4 | 1 | 23 | 3.4 | 55.3 | -0.8 | 0.8 | 0.8 | 40.6 |
3.5 | 1 | 24 | 3.5 | 58.8 | -0.7 | 0.7 | 0.7 | 41.3 |
3.7 | 1 | 25 |3.7 | 62.5 | -0.5 | 0.5 | 1 | 42.3 |
4 | 2 | 27 | 8 | 70.5 | -0.2 | 0.2 | 0.4 | 42.7 |
4.1 | 2 | 29 | 8.2 | 78.7 | -0.1 | 0.1 | 0.1 | 42.8 |
4.5 | 1 | 30 | 4.1 | 82.8 | 0.3 | 0.3 | 0.3 | 43.1 |
4.65 | 1 | 31 | 4.65 | 87.45 | 0.45 | 0.45 | 2.25 | 45.35 |
5 | 5 | 36 | 25 | 112.45 | 0.8 | 0.8 | 0.8 | 46.16 |
5.3 | 1 | 37 | 5.3 | 117.75 | 1.1 | 1.1 | 1.1 | 47.25 |
5.95 | 1 | 38 | 5.95 | 123.7| 1.75 | 1.75 | 7 | 54.25 |
6 | 4 | 42 | 24 | 147.7 | 1.8 | 1.8 | 1.8 | 56.05 |
6.1 | 1 | 43 | 6.1 | 153.8 | 1.9 | 1.9 | 1.9 | 57.95 |
7 | 1 | 44 | 7 | 160.8 | 2.8 | 2.8 | 2.8 | 60.75 |
7.1 | 1 | 45 | 7.1 | 167.9 | 2.9 | 2.9 | 2.9 | 63.65 |
7.4 | 1 | 46 | 7.4 | 175.3 | 3.2 | 3.2 | 3.2 | 66.85 |
8 | 1 | 47 | 8 | 183.3 | 3.8 | 3.8 | 3.8 | 70.65 |
9.2 | 1 | 48 | 9.2 | 192.5 | 5 | 5 | 5 | 75.65|
9.25 | 1 | 49 | 9.25 | 201.75 | 5.05 | 5.05 | 5.05 | 80.7 |
12 | 1 | 50 | 12 | 213.75 | 7.8 | 7.8 | 7.8 | 88.5 |
DESVIACION MEDIA
D.M=∑f|x-ẍ|/n=88.5/50=1.7
Varianza= S=∑f(x-ẍ)²/N= 256.79/50=5.13 | | |
Desviación estándar= √∑f(x-ẍ)²/N=√256.79/50=√5.13=2.26 |
VI
SProfesor: Sergio Cruz Vivas
Alumna: María José Jiménez Hernández
Materia: Estadística
Trabajo: SEMESTRALLicenciatura en nutrición
01-05-12
DISTRIBUCION DE FRECUENCIA CON INTERVALOS
IC | x | f | fa | fx | fx | x-x | (x-x)2 | f(x-x)2 | Sf(x-x)2 |
1.6 - 4.6 | 3.1 | 31 | 31 | 96.1 | 96.1 | -1.4 | 1.9 | 58.9 | 58.9 |
4.7 - 7.7 | 6.1 | 15 | 46 | 91.5 | 187.6 | -1.3 | 1.6 | 24 | 82.9 |
7.8 - 10.8 | 9.1 | 3 | 49 | 27.9 | 215.5 | 4.6 | 21.1 | 63.3 | 146.2 |
10.9 - 13.9 | 12.2 | 1 | 50...
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