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EJECICIO 5B
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,2021,22,23,24,25,26,27,28,29,30,31,32,34,35,36,37,38

X=741 38=19.5 x mediana
Mediana µ
µe=19+20 2
µe=19.5
moda no tiene
varanza
S2 =k=1n xk-x2N-1=4569.538-1=37=123.5
Desviación estándar

S2=123.5=11.11
1 - 19.5=-18.52= 342.25 | 21 -19.5=1.52= 2.25 |
2- 19.5=-17.52= 306.25 | 22 -19.5=2.52= 6.25 |
3 -19.5=-16.52= 272.25 | 23 -19.5=3.52=12.25 |
4 - 19.5=-15.52= 240.25 | 24 -19.5=4.52= 20.25 |
5- 19.5=-14.52= 210.25 | 25 -19.5=5.52= 30.25 |
6- 19.5=-13.52= 182.25 | 26 -19.5=6.52= 42.25 |
7- 19.5=-12.52= 156.25 | 27 -19.5=7.52= 56.25 |
8- 19.5=-11.52= 132.25 | 28 -19.5=8.52= 72.25 |
9- 19.5=-10.52= 110.25 | 29 -19.5=9.52= 90.25 |
10- 19.5=-9.52= 90.25 | 30 -19.5=10.52=110.25|
11- 19.5=-8.52= 72.25 | 31 -19.5=11.52=132.25 |
12 -19.5=-7.52= 56.25 | 32 -19.5=12.52=156.25 |
13 -19.5=-6.52= 42.25 | 33 -19.5=13.52=182.25 |
14 -19.5=-5.52= 30.25 | 34 -19.5=14.52=210.25 |
15 -19.5=-4.52= 20.25 | 35 -19.5=15.52=240.25 |
16 -19.5=-3.52= 12.25 | 36 -19.5=16.52=272.25 |
17 -19.5=-2.52= 6.25 | 37 -19.5=17.52=306.25 |
18 -19.5=-1.52= 2.25 | 38-19.5=18.52=342.25 |
19 -19.5=-0.52= 0.25 | |
20 -19.5=0.52= 0.25 | Total= 4,569.5 |
Rango 38-1=37
Q=1+3.322 log(38)=6.248041108 ͌ 6
376=6.166666667 ͌6

DATOS | FRECUENCIA | FCI | FCS | MC | FR | FRA |
1-6 | 1 | O.5 | 6.5 | 3.5 | 12.5 | 0 |
7-13 | 2 | 6.5 | 13.5 | 10 | 25 | 375 |
14-20 | 1 | 13.5 | 20.5 | 17 | 12.5 | 50 |
21-27 | 1 | 20.5 | 27.5 | 24 | 12.5 | 625 |
28-34 | 1 | 27.5| 34.5 | 31 | 12.5 | 75 |
35-38 | 28 | 34.5 | 38.5 | 36.5 | 25100 | 100 |
EJECICIO 7B

X=741 38=19.5 x mediana
Mediana µ
µe=19+20 2
µe=19.5
moda no tiene
varanza
S2 =k=1n xk-x2N-1=4569.538-1=37=123.5
Desviación estándar
S2=123.5=11.11
1 - 19.5=-18.52= 342.25 | 21 -19.5=1.52= 2.25 |
2- 19.5=-17.52= 306.25 | 22 -19.5=2.52= 6.25 |
3 - 19.5=-16.52= 272.25 | 23-19.5=3.52=12.25 |
4 - 19.5=-15.52= 240.25 | 24 -19.5=4.52= 20.25 |
5- 19.5=-14.52= 210.25 | 25 -19.5=5.52= 30.25 |
6- 19.5=-13.52= 182.25 | 26 -19.5=6.52= 42.25 |
7- 19.5=-12.52= 156.25 | 27 -19.5=7.52= 56.25 |
8- 19.5=-11.52= 132.25 | 28 -19.5=8.52= 72.25 |
9- 19.5=-10.52= 110.25 | 29 -19.5=9.52= 90.25 |
10- 19.5=-9.52= 90.25 | 30 -19.5=10.52=110.25 |
11- 19.5=-8.52= 72.25 | 31-19.5=11.52=132.25 |
12 -19.5=-7.52= 56.25 | 32 -19.5=12.52=156.25 |
13 -19.5=-6.52= 42.25 | 33 -19.5=13.52=182.25 |
14 -19.5=-5.52= 30.25 | 34 -19.5=14.52=210.25 |
15 -19.5=-4.52= 20.25 | 35 -19.5=15.52=240.25 |
16 -19.5=-3.52= 12.25 | 36 -19.5=16.52=272.25 |
17 -19.5=-2.52= 6.25 | 37 -19.5=17.52=306.25 |
18 -19.5=-1.52= 2.25 | 38 -19.5=18.52=342.25 |
19 -19.5=-0.52= 0.25 | |20 -19.5=0.52= 0.25 | Total= 4,569.5 |
Rango 38-1=37
Q=1+3.322 log(38)=6.248041108 ͌ 6
376=6.166666667 ͌6

DATOS | FRECUENCIA | FCI | FCS | MC | FR | FRA |
1-6 | 1 | O.5 | 6.5 | 3.5 | 16.66666667 | 0 |
7-13 | 1 | 6.5 | 13.5 | 10 | 16.66666667 | 33.33333334 |
14-20 | 2 | 13.5 | 20.5 | 17 | 33.333333336 | 6.66666667 |
21-27 | 1 | 20.5 | 27.5 | 24 | 16.66666667 | 83.33333334 |28-34 | 1 | 27.5 | 34.5 | 31 | 16.66666667 | 100 |
35-38 | 06 | 34.5 | 38.5 | 36.5 | 0100 | 100 |

EJERCICIO 9A
X=406 28=14.5 x mediana
Mediana
µe=14+15 2=14.5
moda no tiene
varanza
S2 =k=1n xk-x2N-1=182728-1=27=67.66

Desviación estándar
S2=67.66=8.22
1 – 14.5= -13.5 | 16- 14.5= 1.5 |
2 – 14.5= -12.5 | 17- 14.5= 2.5 |
3 – 14.5= -11.5 | 18- 14.5= 3.5 |
4 – 14.5= -10.5 |19- 14.5= 4.5 |
5 – 14.5= -9.5 | 20- 14.5= 6.5 |
6- 14.5= -8.5 | 21- 14.5= 6.5 |
7- 14.5= -7.5 | 22- 14.5=7.5 |
8- 14.5= -6.5 | 23- 14.5=8.5 |
9- 14.5= -5-5 | 24- 14.5= 9.5 |
10- 14.5= -4.5 | 25- 14.5= 10.5 |
11- 14.5= -3.5 | 26- 14.5=11.5 |
12 -14.5= -2.5 | 27- 14.5=12.5 |
13 -14.5= -1.5 | 28- 14.5= 13.5 |
14 -14.5= -0.5 | |
15 - 14.5= 0.5 | |
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