1. T.V TOLERANCIA
limite de espesificacion= 1,5 ± 0,15
LSL= 1,35 a 1,65 USL
N°
Intervalos aparentes
Lim. Inferior Lim.superior
Maximo= 61,177 1 34,115 36,471
Minimo= 34,115 2 36,472 38,726
Rango= 27,062 3 38,727 40,981
4 40,982 43,236
5 43,237 45,491
N° De intervalos= 17,32050808 Con decimales. 6 45,492 47,746
N° De intervalos= 17 Sin decimales 7 47,747 50,001
Ajuste= 12 Ajustado 8 50,002 52,256
9 52,257 54,511
tamaño de intervalo= 2,255166667 Con decimales 10 54,512 56,766
tamaño de intervalo= 0,023 Redondeado 11 56,767 59,021
Ajuste= 0 0,023 Ajuste 12 59,022 61,182
BIEN BIEN
ajuste de valor inicial= 0,003 BIEN BIEN
valor inicial= 34,112

2. N°
Intervalos reales Marcas de clase Frecuencias Medidas de tendencia central y dispersion
Lim.
Inferior Lim.superior χᵢ fi fiα ƒᵢᵢ fiαᵢ ƒᵢχᵢ ǀ χᵢᵢẊǀ ƒᵢ ǀ χᵢᵢẊǀ ²ƒᵢ
1 34,11 36,476 35,293 15 15 0,04559271 0,04559271 529,395 191,73041 2450,70335
2 36,467 38,731 37,599 17 32 0,05167173 0,09726444 639,183 178,092465 1865,701536
3 38,722 40,986 39,854 18 50 0,05471125 0,15197568 717,372 147,978492 1216,535234
4 40,977 43,241 42,109 30 80 0,09118541 0,24316109 1263,27 178,980821 1067,804472
5 43,232 45,496 44,364 37 117 0,11246201 0,3556231 1641,468 137,308012 509,5537893
6 45,487 47,751 46,619 41 158 0,12462006 0,48024316 1911,379 59,6971216 86,92064207
7 47,742 50,006 48,874 36 194 0,10942249 0,58966565 1759,464 28,7630152 22,98086231
8 49,997 52,261 51,129 37 231 0,11246201 0,70212766 1891,773 112,996988 345,0897098
9 52,252 54,516 53,384 41 272 0,12462006 0,82674772 2188,744 217,667878 1155,592812
10 54,507 56,771 55,639 22 294 0,0668693 0,89361702 1224,058 166,407398 1258,701008
11 56,762 59,026 57,894 24 318 0,07294833 0,96656535 1389,456 235,655343 1591,128081
12 59,017 61,187 60,102 11 329 0,03343465 1 661,122 132,29667 11570,7115
TOTALES 15816,684 1787,57462
Ẋ= 48,07502736
DESV.MEDIA= 5,43335749
VARIANZA= 35,16933585
DESV. ESTANDAR= 5,930374006
Media aritmetica=
48,0750
274

3. Desviacion estandar=
5,93037
401
Ẋ- 1S= 42,14465335 Ẋ+1S=
54,00540
136
Ẋ- 2S= 36,21427934 Ẋ+2S=
59,93577
537
Ẋ- 3S= 30,28390534 Ẋ+3S=
65,86614
937
x y
34,11 0
34,11 15
36,467 15
36,467 0
36,467 17
38,722 17
38,722 0
38,722 18
40,977 18
40,977 0
40,977 30
43,232 30
43,232 0
43,232 37
45,487 37
45,487 0
45,487 41
47,742 41
47,742 0
47,742 36
49,997 36
49,997 0
49,997 37
52,252 37
52,252 0
52,252 41
54,507 41
0
10
20
30
40
50
60
70
80
90
100

4. 54,507 0
54,507 22
56,762 22
56,762 0
56,762 24
59,026 24
59,026 0

5. MEDIA ARITMETICA
MEDIA ARITMETICA-
1 S
MEDIA ARITMETICA -
2S
MEDIA ARITMETICA -
3S
X Y X Y X Y X Y
48,07502
74 0
42,14465
33 0
36,21427
93 0
30,28390
53 0
48,07502
74 90
42,14465
33 80
36,21427
93 70
30,28390
53 60
MEDIA ARITMETICA +
1S
MEDIA ARITMETICA +
2S
MEDIA ARITMETICA +
3S
X Y X Y X Y
54,00540
14 0
59,93577
54 0
65,86614
94 0
54,00540
14 80
59,93577
54 70
65,86614
94 60

6. Mod
a= 45,487 + 36 .
0,0
23
Media
na= 45,487 + 159 - 117
.
0.
23
Q1
= 43,232 + 75 - 80 .
0,0
23
Q3
= 47,742 + 225 - 158 .
0,0
23
37 + 36 41 37 36
= 45,487 + 42 .
0,0
23 = 43,232 + -5 .
0,0
23 = 47,742 + 67 .
0,0
23
= 45,487 + 36 .
0,0
23 41 37 36
73 = 45,487 + 0,966 = 47,742 + 1,541
41 = 43,232 + -0,115 36
= 45,487 + 0,828 = 45,487 +
0,023
561 37 = 47,742 +
0,04280
556
73 =
45,510
561 = 43,232 +
-
0,00310
811 =
47,7848
056
=
43,2288
919
= 45,487 +
0,01134
247
=
45,4983
4247

7. MEDIANA Q1 Q3 MINIMO MAXIMO
X Y X Y X Y X Y X Y
45,510561 2 43,2288919 2 47,7848056 2 35,293 6 57,894 6
45,510561 10 43,2288919 10 47,7848056 10 35,293 7 57,894 7
X Y X Y
43,2288919 2 43,2288919 10
47,7848056 2 47,7848056 10
X Y X Y
35,293 6,5 47,7848056 6,5
43,2288919 6,5 57,894 6,5
0
2
4
6
8
10
12
0 10 20 30 40 50 60 70
MEDIANA
Q1
Q3
X MINIMA
X MAXIMA
Series6
Series7
Series8
Series9

8. 0
50
100
150
200
250
300
350
36.476 38.731 40.986 43.241 45.496 47.751 50.006 52.261 54.516 56.771 59.026
GRAFICA OJIVA
FRECUENCIA ABSOLUTA ACUMULADA