Profesor de enseñanza media

ESTADISTICA APLICADA
QUINTO BACHILLERATO EN CIENCIAS Y LETRAS

TABLA 1
DATOS DESORDENADOS
64 | 84 | 85 | 70 | 96 | 80 | 79 | 76 | 74 |
63 | 84 | 86 | 70 | 88 | 79 | 80 | 78 | 74 |
60 | 83 | 99 | 69 | 100 | 82 | 79 | 78 | 76 |
94 | 65 | 86 | 83 | 72 | 90 | 80 | 73 | 76 |
57 | 83 | 66 | 96 | 87 | 82 | 72 | 98 | 75 |
57 | 58 | 66 | 67 | 89 | 82 | 80 | 73 | 75 |

TABLA 2
TABLA DEDATOS ORDENADOS
100 | 99 | 98 | 96 | 96 | 94 | 90 | 89 | 88 |
87 | 86 | 86 | 85 | 84 | 84 | 83 | 83 | 83 |
82 | 82 | 82 | 80 | 80 | 80 | 80 | 79 | 79 |
79 | 78 | 78 | 76 | 76 | 76 | 75 | 75 | 74 |
74 | 73 | 73 | 72 | 72 | 70 | 70 | 69 | 67 |
66 | 66 | 65 | 64 | 63 | 60 | 58 | 57 | 57 |

TABLA 3
TABLA DE RELATIVO Y RANGO
No. | D.O | REL | RAN | No. | D.O | REL | RAN |
1 | 100 |100 | 1 | 28 | 79 | 79 | 26 |
2 | 99 | 99 | 2 | 29 | 78 | 78 | 29.5 |
3 | 98 | 98 | 3 | 30 | 78 | 78 | 29.5 |
4 | 96 | 96 | 4.5 | 31 | 76 | 76 | 32 |
5 | 96 | 96 | 4.5 | 32 | 76 | 76 | 32 |
6 | 94 | 94 | 6 | 33 | 76 | 76 | 32 |
7 | 90 | 90 | 7 | 34 | 75 | 75 | 34.5 |
8 | 89 | 89 | 8 | 35 | 75 | 75 | 34.5 |
9 | 88 | 88 | 9 | 36 | 74 | 74 | 36.5 |
10 | 87 | 87 | 10 | 37 | 74 | 74| 36.5 |
11 | 86 | 86 | 11.5 | 38 | 73 | 73 | 38.5 |
12 | 86 | 86 | 11.5 | 39 | 73 | 73 | 38.5 |
13 | 85 | 85 | 13 | 40 | 72 | 72 | 40.5 |
14 | 84 | 84 | 14.5 | 41 | 72 | 72 | 40.5 |
15 | 84 | 84 | 14.5 | 42 | 70 | 70 | 42.5 |
16 | 83 | 83 | 17 | 43 | 70 | 70 | 42.5 |
17 | 83 | 83 | 17 | 44 | 69 | 69 | 44 |
18 | 83 | 83 | 17 | 45 | 67 | 67 | 45 |
19 | 82 | 82 | 20 | 46 | 66 | 66| 46.5 |
20 | 82 | 82 | 20 | 47 | 66 | 66 | 46.5 |
21 | 82 | 82 | 20 | 48 | 65 | 65 | 48 |
22 | 80 | 80 | 23.5 | 49 | 64 | 64 | 49 |
23 | 80 | 80 | 23.5 | 50 | 63 | 63 | 50 |
24 | 80 | 80 | 23.5 | 51 | 60 | 60 | 51 |
25 | 80 | 80 | 23.5 | 52 | 58 | 58 | 52 |
26 | 79 | 79 | 26 | 53 | 57 | 57 | 53.5 |
27 | 79 | 79 | 26 | 54 | 57 | 57 | 53.5 |
TABLA 4
CLASIFICADOR DE RANGOS
| 0 |1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | TOTAL |
10 | | | | | | | | | | | 1/I | 1 |
9 | 7/I | | | | 6/I | | 4.5/II | | 3/I | 2/I | | 6 |
8 | 23.5/IIII | | 20/III | 17/III | 14.5/II | 13/I | 11.5/II | 10/I | 9/I | 8/I | | 18 |
7 | 42.5/II | | 40.5/II | 38.5/II | 36.5/II | 35.5/II | 32/III | | 29.5/II | 26/III | | 18 |
6 | 51/I | | | 50/I | 49/I | 48/I | 46.5/II |45/I | | 44/I | | 8 |
5 | | | | | | | | 53.5/II | 52/I | | | 3 |
1 | | | | | | | | | | | | |
TOTAL | 8 | 0 | 5 | 6 | 6 | 4 | 9 | 4 | 5 | 6 | 1 | 54 |

CALCULOS: 1. RANGO DE TABLA = R R = N-n = 100 – 57 = 43R = 43 2. RECORRIDO O AMPLITUD DE INTERVALO = II = R/10 = 43/10 = 4.30 R/20 =43/20 = 2.15 2 6.45/2 =3.225 Aproximado a 4I = 4 3. Longitud de la tabla de intervalos = Lt.Lt. = R/I + 1Lt. = 43/4 +1 = 10.75 + 1 = 11.75 Aproximado a 12Lt. = 12 |

TABLA 5
I = 4 | f | fac | dm | f.d | ∑fd | Mc |
97 | 100 | 3 | 54 | 6 | 18 | 81 | 99 |
93 | 96 | 3 | 51 | 5 | 15 | | 95 |
89 | 92 | 2 | 48 | 4 | 8 | | 91 |
85 | 88 | 5 | 46 | 3 | 15 | | 87 |
81 | 84 | 8 | 41 | 2 | 16 | | 83 |
77 | 80 | 9| 33 | 1 | 9 | | 79 |
73 | 76 | 9 | 24 | 0 | 0 | | 75 |
69 | 72 | 5 | 15 | -1 | -5 | -35 | 71 |
65 | 68 | 4 | 10 | -2 | -8 | | 67 |
61 | 64 | 2 | 6 | -3 | -6 | | 63 |
57 | 60 | 4 | 4 | -4 | -16 | | 59 |
Desviación Standard | 46 | |
Las graficas
HISTOGRAMA DE PEARSON
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| 57 | 61 | 65 | 69 | 73 | 77 | 81 | 85 | 89 | 93 | 97 |

POLIGONO DE FRECUENCIAS
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