Datos Agrupados
Enviado por • 23 de Junio de 2014 • 914 Palabras (4 Páginas) • 276 Visitas
A)
36 65 46 27 60 28 53 50 58 33 70 45 59 48
54 30 49 63 42 54 17 57 39 55 29 56 31
A.V = 70 – 17 = 53 N.C= 1 + 3.3 x 1.4313 = 6 IC= 9
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
17 - 25 1 1 0.037 3.7 3.7 21 16.5–25.5 21
26 – 34 6 7 0.2222 22.22 25.92 30 25.5-34.5 180
35 – 43 3 10 0.1111 11.11 37.03 39 34.5-43.5 117
44 – 52 5 15 0.1852 18.52 55.55 48 43.5-52.5 240
53 – 61 9 24 0.3333 33.33 88.88 57 52.5-61.5 513
62 - 70 3 27 0.1111 11.11 99.99 66 61.5-70.5 198
_
X= 47 Me= 49.8 Mo = 56.1 ∑ 1269
B)
31 55 26 49 57 34 45 58 30 51 24 61 42 34 43
60 37 59 32 44 39 61 28 56 35 58 40 33 60 46
A.V = 61-24=37 N.C= 1 + 3.3 x 1.4771= 6 IC= 6
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
24-29 3 3 0.1 10 10 26.5 23.5-29.5 79.5
30-35 7 10 0.2333 23.33 33.33 32.5 29.5-35.5 227.5
36-41 3 13 0.1 10 43.33 38.5 35.5-41.5 115.5
42-47 5 18 0.1667 16.67 60 44.5 41.5-47.5 222.5
48-53 2 20 0.0667 6.67 66.67 50.5 47.5-53.5 101
54-59 6 26 0.2 20 86.67 56.5 53.5-59.5 339
60-65 4 30 0.1333 13.33 100 62.5 59.5-65.5 250
_
X= 44.5 Me= 43.9 Mo = 32.5 ∑ 1335
C)
72 47 71 42 72 58 49 72 68 69 42 51 44 72 49 72 60 46
43 69 63 48 45 72 43 67 50 72 70 59 50 53 72 45 56
A.V = 72-42=30 N.C= 1 + 3.3 x 1.5441= 6 IC= 5
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
42-46 8 8 0.2286 22.86 22.86 44 41.5-46.5 352
47-51 7 15 0.2 20 42.86 49 46.5-51.5 343
52-56 2 17 0.0571 5.71 48.57 54 51.5-56.5 108
57-61 3 20 0.0857 8.57 57.14 59 56.5-61.5 177
62-66 1 21 0.0286 2.86 60 64 61.5-66.5 64
67-71 6 27 0.1714 17.14 77.14 69 66.5-71.5 414
72-76 8 35 0.2286 22.86 100 74 71.5-76.5 592
_
X= 58.57 Me= 57.33 Mo1 = 45.94 y Mo2 = 72.5 ∑ 2050
D)
85 86 70 84 81 94 59 82 94 71 79 75 81 92 77 87 83 80 82 55 81 63 82
90 68 94 53 83 72 94 74 91 94 61 91 76 57 87 58 90 84 79 88 78 85
A.V = 94-53=41 N.C= 1 + 3.3 x 1.6532= 6 IC= 7
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
53-59 5 5 0.1111 11.11 11.11 56 52.5 - 59.5 280
60-66 2 7 0.0444 4.44 15.55 63 59.5 - 66.5 126
67-73 4 11 0.0889 8.89 24.44 70 66.5 - 73.5 280
74-80 8 19 0.1778 17.78 42.22 77 73.5 - 80.5 616
81-87 15 34 0.3333 33.33 75.55 84 80.5 - 87.5 1260
88-94 11 45 0.2444 24.44 99.99 91 87.5 - 94.5 1001
_
X= 79.18 Me= 82.13 Mo1 = 84.95 ∑ 3563
E)
45 61 48 68 31 79 57 65 77 36 53 76 37 80 64 79 47 42 40 49 75
70 34 78 56 51 72 40 80 35 59 45 60 79 52 74 36 73 50 78 37 44
A.V = 80-31=49 N.C= 1 + 3.3 x 1.6232= 6 IC= 8
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
31-38 7 7 0.1667 16.67 16.67 34.5 30.5-38.5 241.5
39-46 6 13 0.1428 14.28 30.95 42.5 38.5-46.5 255
47-54 7 20 0.1667 16.67 47.62 50.5 46.5-54.5 353.5
55-62 5 25 0.1190 11.90 59.52 58.5 54.5-62.5 292.5
63-70 4 29 0.0952 9.52 69.04 66.5 62.5-70.5 266
71-78 8 37 0.1905 19.05 88.09 74.5 70.5-78.5 596
79-86 5 42 0.1190 11.90 99.99 82.5 78.5-86.5 412.5
_
X= 57.55 Me= 56.1 Mo1 = 75.07 ∑ 2417
F)
63 25 80 64 75 41 79 38 27 59 89 50 66 87 44 68 73 30
43 60 40 73 29 85 57 79 65 80 22 83 74 34 28 49 60 70
24 74 53 42 70 62 22 63 88 33 84 58 30 83 69 91 23 61
A.V = 91-22=69 N.C= 1 + 3.3 x 1.7324= 7 IC= 10
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
22-31 10 10 0.1852 18.52 18.52 26.5 21.5-31.5 265
32-41 5 15 0.0926 9.26 27.78 36.5 31.5-41.5 182.5
42-51 5 20 0.0926 9.26 37.04 46.5 41.5-51.5 232.5
52-61 7 27 0.1296 12.96 50 56.5 51.5-61.5 395.5
62-71 10 37 0.1852 18.52 68.52 66.5 61.5-71.5 665
72-81 9 46 0.1667 16.67 85.19 76.5 71.5-81.5 688.5
82-91 8 54 0.1481 14.81 100 86.5 81.5-91.5 692
_
X= 57.80 Me= 61.5 Mo = 28.17 y Mo = 69 ∑ 3121
G)
124 96 132 141 97 152 144 121 83 132 133 141 129 138 105 140
109 131 128 100 150 135 99 150 133 120 90 152 117 138 149 110
144 119 91 153 111 132 151 104 150 135 140 142 151 101 140 132
140 117 155 157 102 148 159 162 149 141 160 148 166 153 155
A.V =166-83=83 N.C= 1 + 3.3 x 1.7993 = 7 IC= 12
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
83-94 3 3 0.0476 4.76 4.76 88.5 82.5-94.5 265.5
95-106 8 11 0.1270 12.70 17.46 100.5 94.5-106.5 804
107-118 5 16 0.0794 7.94 25.4 112.5 106.5-118.5 562.5
119-130 6 22 0.0952 9.52 34.92 124.5 118.5-130.5 747
131-142 19 41 0.3016 30.16 65.08 136.5 130.5-142.5 2593.5
143-154 15 56 0.2381 23.81 88.89 148.5 142.5-154.5 2227.5
155-166 7 63 0.1111 11.11 100 160.5 154.5-166.5 1123.5
X= 132.12 Me= 136.5 Mo = 139.68 ∑ 8323.5
H)
70 17 24 67 69 25 54 47 30 52 24 70 49
22 51 16 46 59 31 26 35 21 13 51 54 43
18 30 70 69 23 70 19 47 54 69 63 25 50
45 46 22 50 69 20 37 27 70 23 15 58 69
69 40 48 70 36 27 69 55 14 41 48 17 28
A.V =70-13=57 N.C= 1 + 3.3 x 1.8129 = 7 IC= 8
Clases fi fac fr fr% fr % ac Xi Lím verd Xi . fi
13-20 9 9 0.1385 13.85 13.85 16.5 12.5-20.5 148.5
21-28 13 22 0.2 20 33.85 24.5 20.5-28.5 318.5
29-36 5 27 0.0769 7.69 41.54 32.5 28.5-36.5 162.5
37-44 4 31 0.0615 6.15 47.69 40.5 36.5-44.5 162
45-52 13 44 0.2 20 67.69 48.5 44.5-52.5 630.5
53-60 6 50 0.0923 9.23 76.92 56.5 52.5-60.5 339
61-68 2 52 0.0308 3.08 80 64.5 60.5-68.5 129
69-76 13 65 0.2 20 100 72.5 68.5-76.5 942.5
X= 43.58 Me= 45.42 Mo1 = 23.17 , Mo2 = 49 y Mo3 = 72.17 ∑ 2832.5
I)
22 28 29 18 23 37 45 37 26 28
30 25 45 34 15 30 36 24 40 31
A.V =45-15 =30 N.C= 1 + 3.3 x 1.3010 = 5 IC= 6
Clases fi fac fr fr % fr%ac Xi Lím verd Xi . fi
15-20 2 2 0.1 10 10 17.5 14.5-20.5 35
21-26 5 7 0.25 25 35 23.5 20.5-26.5 117.5
27-32 6 13 0.3 30 65 29.5 26.5-32.5 177
33-38 4 17 0.2 20 85 35.5 32.5-38.5 142
39-44 1 18 0.05 5 90 41.5 38.5-44.5 41.5
45-50 2 20 0.1 10 100 47.5 44.5-50.5 95
X= 30.4 Me= 29.5 Mo = 28.5 ∑ 608
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