Estadistica

PRUEBA DE ENSAYO
ESTADISTICA – SEGUNDO BIMESTRE
COMUNICACIÓN SOCIAL – OCTAVO CICLO
ESTUDIANTE: HOMAR ROGEL ENCALADA
1. Un aspirante a un examen de admisión obtuvo las siguientescalificaciones: Matemática 7; Física 7.6; Geometría 8.4. Cuál es la media ponderada si las ponderaciones son: 5, 4,3 respectivamente.

7(5) + 7.6(4) + 8.4(3) 35 + 30.4 + 25.2 90.6
X =--------------------------- = -------------------- = ------ = 7.55
5 + 4 + 3 12 12

2. Calcule la media, mediana y moda de la siguienteserie estadística:

X | F |
41-43 | 1 |
38-40 | 2 |
35-37 | 3 |
32-34 | 5 |
29-31 | 7 |
26-28 | 10 |
23-25 | 18 |
20-22 | 12 |
17-19 | 6 |
14-16 | 4 |
11-13 | 7 |
08-10 | 2 |05-07 | 1 |

MEDIA

X | F | Xm | f.Xm |
41-43 | 1 | 42 | 42 |
38-40 | 2 | 39 | 78 |
35-37 | 3 | 36 | 108 |
32-34 | 5 | 33 | 165 |
29-31 | 7 | 30 | 210 |
26-28 | 10 | 27 | 270 |23-25 | 18 | 24 | 432 |
20-22 | 12 | 21 | 252 |
17-19 | 6 | 18 | 108 |
14-16 | 4 | 15 | 60 |
11-13 | 7 | 12 | 84 |
08-10 | 2 | 09 | 18 |
05-07 | 1 | 06 | 6 |
| 78 | | 1833 |

1833X = -------- = 23.5
10

MEDIANA

X | F | fa | Xm | f.Xm |
41-43 | 1 | 78 | 42 | 42 |
38-40 | 2 | 77 | 39 | 78 |
35-37 | 3 | 75 | 36 | 108 |
32-34 | 5 | 72 | 33 | 165 |29-31 | 7 | 67 | 30 | 210 |
26-28 | 10 | 60 | 27 | 270 |
23-25 | 18 | 50 | 24 | 432 |
20-22 | 12 | 32 | 21 | 252 |
17-19 | 6 | 20 | 18 | 108 |
14-16 | 4 | 14 | 15 | 60 |
11-13 | 7 | 10 |12 | 84 |
08-10 | 2 | 3 | 09 | 18 |
05-07 | 1 | 1 | 06 | 6 |
| 78 | | | 1833 |

N/2 = 78/2 = 39
Li = 24.5
fai = 32
f = 18
i = 3

39 –32(3) 57
Mdn = 24.5 + --------------- = 24.5 + ------ = 24.5 + 3.17 =
18 18

MODA

X | F | Xm | f.Xm | fa |
41-43 | 1 | 42 | 42 | 78...