Propuesta de proyecto de problema de probabilidad y estadistica. -Media -Moda -Mediana

1. UNIVERSIDAD AUTÓNOMA DE NUEVO LEÓN
FACULTAD DE AGRONOMÍA
UNIDAD LA ASCENCIÓN
PROBABILIDAD Y ESTADÍSTICA
DR. RAFAEL RUIZ HERNÁNDEZ
REPORTE DE CUESTIONARIO
CUARTO SEMESTRE
MARLEN CAROLINA BANDA CASTILLO
CARMINA FERNANDA MUÑOZ MARTÍNEZ
EDUARDO MIGUEL CASTILLO MARTÍNEZ
JOSÉ DE JESÚS SERRATO VÁZQUEZ
JOSÉ DE JESÚS SOTO BERNAL
CUARTO SEMESTRE
A 11 DE MARZO DE 2024

2. ÍNDICE DEL
DOCUMENTO
CONJUNTO DE DATOS
Media
Mediana
Moda
Varianza
Resultado de varianza
Desviación estándar
Error estándar
Coeficiente de variación

3. CONJUNTO DE DATOS 1
107, 110, 152, 150, 151, 139, 119, 114, 123, 158, 131, 135, 122, 111, 160, 121, 118, 117,
102, 124, 129, 126, 125, 145, 142, 149, 153, 104, 154, 113, 146, 130, 156, 157, 143,
140, 103, 138, 137, 120, 127, 144, 147, 128, 133, 132, 101, 109, 116, 159.
MEDIA
6,570/50= 131.4
X= 131.4
MEDIANA
101, 102, 103, 104, 107, 109, 110, 111, 113, 114, 116, 117, 118, 119, 120, 121, 122, 123,
124, 125, 126, 127, 128, 129, 130, 131, 132, 133, 135, 137, 138, 139, 140, 142, 143,
144, 145, 146, 147, 149, 150, 151, 152, 153, 154, 156, 157, 158, 159, 160.
ME= 130.5

4. MODA
AMODAL
(101-131.4)² + (102-131-4)²+ (103-131.4)² (104-131.4)² + (107-131.4)² +
(109-131.4)² + (110-131.4)² + (111-131.14)² + (113-137.4)²+ (114-131.4)² +
(116-131.4)² + (117-131.4)² + (118-131.4)² + (119-131.4)² + (120-131.4)² +
(121-131.4)² + (122-131.4)² + (123-131.4)² + (124-131.4)² + (125-131.4)² +
(126-131.4)² + (127-131.4)² + (128-131.4)² + (129-131.4)² + (130-131.4)²+
(131-131.4)² + (132-131.4)² + (133-131.4)² + (135-131.4)² + (137-131.4)² +
(138-131.4)² + (139-131.4)² + (140-131.4)² + (142-131.4)² + (143-131.4)² +
(144-131.4)² + (145-131.4)² + (146-131.4)² + (147-131.4)² + (149-131.4)² +
(150-131.4)² + (151-131.4)² + (152-131.4)² (153-131.4)² + (154-131.4)² +
(156-131.4)² (157-131.4)² + (158-131.4)² + (159-131.4)² (160-131.4)²
VARIANZA

5. 924.16+ 864.36 + 806.56+750.76 +595.36 + 501.76 + 457.96+ 416.16+
338.56 + 302.76 + 237.16 + 207.36 + 179.56 + 153.76+ 129.96+108.16+ 83.36+
70.56 +54.76 + 40.96 + 29.16 +19.36+11.56+5.76+1.96+ 0.16+0.36+ 2.56 +
12.96+ 31.36 + 43.56 + 57.76+ 73.96+112.36+ 134.56+158.76+184.96 + 213.16 +
243.36 +309.76 +345.96 + 384.16+ 424.36+ 466.56 + 510.76 + 605.16 +
655.36 +707.56+761.76+817.96
S²= 14,555.93/49= 297.05
RESULTADO (VARIANZA)
DESVIACIÓN ESTÁNDAR
√297.05= 17.23
ERROR ESTÁNDAR
17.23/7.071= 2.436
COEFICIENTE DE VARIACIÓN
17.23/131.4= 1.31

6. CONJUNTO DE DATOS 2
142, 141, 133, 102, 150, 158, 134, 165, 145, 161, 160, 121, 130, 149, 126, 144, 163,
131, 132, 159, 152, 147, 115, 118, 123, 151, 148, 111, 106, 162, 140, 167, 120, 137,
116, 143, 100, 105, 157, 139, 122, 146, 104, 155, 153, 117, 103, 156, 109
MEDIA
6,832/50= 136.64
X= 131.4
MEDIANA
100, 102, 103, 104, 105, 106, 109, 111, 115, 116, 117, 118, 120, 121,122 123, 126, 130,
131, 132, 133, 134, 137, 139, 140, 141, 142, 143, 144, 145, 146, 147, 148, 149, 150,
151, 152, 153, 155, 156, 157, 158, 159, 160, 161, 162, 163, 164, 165, 167
ME= 140.5

7. MODA
AMODAL
(100-136.64)² + (102-136.64)²+ (103-136.64)² (104-136.64)² + (105-136.64)² +
(106-136.64)² + (109-136.64)² + (111-136.64)² + (115-136.64)²+ (116-136.64)² +
(117-136.64)² + (118-136.64)² + (120-136.64)² +(121-136.64)² + (122-136.64)² +
(123-136.64)² + (126-136.64)² + (130-136.64)² + (131-136.64)² + (132-136.64)² +
(133-136.64)² + (134-136.64)² + (137-136.64)² + (139-136.64)² + (140-136.64)² +
(141-136.64)² + (142-136.64)² + (143-136.64)² + (144-136.64)² + (145-136.64)² +
(146-136.64)² + (147-136.64)² + (148-136.64)² + (149-136.64)² + (150-136.64)² +
(151-136.64)² + (152-136.64)² + (153-136.64)² + (155-136.64)² + (156-136.64)² +
(157-136.64)² + (158-136.64)² + (159-136.64)² + (160-136.64)² + (161-136.64)² +
(162-136.64)² + (163-136.64)² + (164-136.64)² + (165-136.64)² + (167-136.64)²
VARIANZA

8. RESULTADO (VARIANZA)
1342.48+1199.92 + 1131.64+ 1065.36 + 1001.0 +938.80+ 763.96+ 657.40 +
468.28+ 426.00 +385.72 + 347.44 + 276.88 +244.60+ 214.32+ 186.04+113.20 +
44.08 + 31.80 +21.52 +13.24+ 6.96+0.12+5.56 +11.28+19.00 +28.72+40.44 +
54.16 + 69.88 + 87.60 + 107.32 + 129.04+152.76+ 178.48+ 206.20 +235.92+
267.64 + 337.08 +374.80 + 414.52 +456.24+ 499.96+545.68 + 593.40 +
643.12+ 694.84 +748.56 + 804.28 + 921.72
S²= 19,508.96/49= 398.14
DESVIACIÓN ESTÁNDAR
√398.14= 19.95
ERROR ESTÁNDAR
19.95/7.071= 2.821
COEFICIENTE DE VARIACIÓN
19.95/136.64= 0.146

9. CONJUNTO DE DATOS 3
135, 141, 142, 130, 116, 121, 127, 149, 111, 134, 107, 113, 119, 109, 168, 120, 136, 150,
110, 100, 123, 176, 169, 124, 138, 155, 139, 160, 163, 175, 146, 152, 154, 145, 172,
158, 140, 147, 112, 161, 133, 144, 115, 159, 131, 114, 143, 108, 165, 132
MEDIA
6,891/50= 137.82
X= 137.82
MEDIANA
100, 107, 108, 109, 110, 111, 112, 113, 114, 115, 116, 119, 120, 121, 123, 124, 127, 130,
131, 132, 133, 134, 135, 136, 138, 139, 140, 141, 142, 143, 144, 145, 146, 147, 149,
150, 152, 154, 155, 158, 159, 160, 161, 163, 165, 168, 169, 172, 175, 176
ME= 138.5

10. MODA
AMODAL
(100-137.82)²+(107-137.82)²+(108-137.82)²+(109-137.82)²+(110-137.82)²+
(111-137.82)²+(112-137.82)²+(113-137.82)²+(114-137.82)²+(115-116.82)²+
(119-137.82)²+(120-137.82)²+(121-137.82)²+(123-137.82)²+(124-137.82)²+
(127-137.82)²+(130-137.82)²+(131-137.82)²+(132-137.82)²+(133-137.82)²+
(134-137.82)²+(135-137.82)²+(136-137.82)²+(138-137.82)²+(139-137.82)²+
(140-137.82)²+(141-137.82)²+(142-137.82)²+(143-137.82)²+(144-137.82)²+
(145-137.82)²+(146-137.82)²+(147-137.82)²+(149-137.82)²+(150-137.82)²+
(152-137.82)²+(154-137.82)²+(155-137.82)²+(158-137.82)²+(159-137.82)²+
(160-137.82)²+(161-137.82)²+(163-137.82)²+(165-137.82)²+(168-137.82)²+
(169-137.82)²+(172-137.82)²+(175-137.82)²+(176-137.82)²
VARIANZA

11. RESULTADO (VARIANZA)
1430.35+949.87+889.23+830.59+773.95+719.31+666.67+616.03+567.39+52
0.75+476.11+354.19+317.55+282.91+219.63+190.99+117.07+61.65+46.51+33.8
7+23.23+14.59+7.95+3.31+0.03+1.39+4.75+10.11+17.47+26.38+38.19+51.55+6
6.91+84.27+124.99+148.35+201.07+261.79+295.15+407.23+448.59+491.95+5
37.31+634.03+738.75+910.83+972.19+1168.27+1382.35+1457.71
S²= 20,595.26/49= 420.31
DESVIACIÓN ESTÁNDAR
√420.31= 20.50
ERROR ESTÁNDAR
20.50/7.071= 2.899
COEFICIENTE DE VARIACIÓN
20.50/137.82= 1.48