Transcript
Page 1: EstadÃ-stica descriptiva numérica(semana 2)

Los siguientes datos representan la TRM de enero 1 a mayo 2 del 2014

ESTADÍSTICAS DESCRIPTIVAS NUMÉRICAS

1/1/2014 451/2/2014 521/3/2014 151/4/2014 331/5/2014 241/6/2014 331/7/2014 311/8/2014 121/9/2014 291/10/2014 361/11/2014 381/12/2014 341/13/2014 10 MEDIA $ 31.60 1/14/2014 25 MEDIANA $ 33.00 1/15/2014 48 MODA 331/16/2014 151/17/2014 421/18/2014 26 RANGO $ 42.00 1/19/2014 28 MAX $ 52.00 1/20/2014 37 MIN $ 10.00 1/21/2014 421/22/2014 40 VARIANZA 129.71/23/2014 33 DESVEST 11.41/24/2014 461/25/2014 471/26/2014 17 CV 36.04%1/27/2014 391/28/2014 251/29/2014 18 Q1 25.001/30/2014 28 Q2 33.001/31/2014 Q3 39.752/1/2014

2/2/2014

2/3/2014 P60 34.802/4/2014 P95 47.552/5/2014 P42 29.362/6/2014

2/7/2014

Fecha (dd/mm/aaaa)

Tasa de cambio representativa del

mercado (TRM)

a) Calcule las medidas de tendencia central: media, mediana y moda.b) Calcule las medidas de dispersión: rango, varianza y desviación estándar.c) Calcule el coeficiente de variabilidad (CV=desvest / media).d) Calcule los cuartiles.e) Calule los percentiles 60, 95 y 42.f) Realice un gráfico de líneasg) Realice una tabla de frecuencias agrupadas.h) Realice un histograma de frecuencias.

a) Calcule las medidas de tendencia central: media, mediana y moda.

b) Calcule las medidas de dispersión: rango, varianza y desviación estándar.

c) Calcule el coeficiente de variabilidad (CV=desvest / media).

d) Calcule los cuartiles.

e) Calule los percentiles 60, 95 y 42.

f) Realice un gráfico de líneas

D21
Es la diferencia entre el valor maximo y el valor minimo.
D29
Valores de CV por debajo del 15% son confiables, e indican que la variable tiene un excelente comportamiento.
E32
El 25% de los valores de la TRM tienen un valor maximo de 1936,70. El 25% de los valores de la TRM es superios a 1936,70.
E37
Valor maximo del 60%.
Page 2: EstadÃ-stica descriptiva numérica(semana 2)

2/8/2014

2/9/2014

2/10/2014

2/11/2014

2/12/2014

2/13/2014

2/14/2014

2/15/2014

2/16/2014

2/17/2014

2/18/2014

2/19/2014

2/20/2014

2/21/2014

2/22/2014

2/23/2014

2/24/2014

2/25/2014

2/26/2014

2/27/2014 RANGO $ 42.00 2/28/2014 No clases (m) 5.5 Se aproxima al entero siguiente3/1/2014 Ancho (A) 7.673/2/2014

3/3/2014 m Li Ls Frecuencia3/4/2014 1 $ 10.00 17.67 53/5/2014 2 17.67 25.34 43/6/2014 3 25.34 33.00 83/7/2014 4 33.00 40.67 63/8/2014 5 40.67 48.34 63/9/2014 6 48.34 56.01 13/10/2014 7 56.01 63.68 03/11/2014 8 63.68 71.34 03/12/2014 9 71.34 79.01 03/13/2014 10 79.01 86.68 03/14/2014 11 86.68 94.35 03/15/2014 12 94.35 102.02 03/16/2014

3/17/2014

3/18/2014

3/19/2014

3/20/2014

3/21/2014

3/22/2014

g) Realice una tabla de frecuencias agrupadas.

h) Realice un histograma de frecuencias.

1/1/2

014

1/5/2

014

1/9/2

014

1/13/2

014

1/17/2

014

1/21/2

014

1/25/2

014

1/29/2

014

2/2/2

014

2/6/2

014

2/10/2

014

2/14/2

014

2/18/2

014

2/22/2

014

2/26/2

014

3/2/2

014

3/6/2

014

3/10/2

014

3/14/2

014

3/18/2

014

3/22/2

014

3/26/2

014

3/30/2

014

4/3/2

014

4/7/2

014

4/11/2

014

4/15/2

014

4/19/2

014

4/23/2

014

4/27/2

014

5/1/2

0140

10

20

30

40

50

60

Tasa de cambio representativa del mercado (TRM); de enero 1 amayo 2 de 2014.

TRM

1 2 3 4 5 6 7 8 9 1 0 1 1 1 20

1

2

3

4

5

6

7

8

9

5

0

Frecuencia

m

Axis

Titl

e

D62
Raiz cuadrada de la cantidad de datos.
D63
Se calcula con el rango dividido el No de clases A= R/m
E65
El primer limite inferior
F65
Limite inferior mas el ancho
Page 3: EstadÃ-stica descriptiva numérica(semana 2)

3/23/2014

3/24/2014

3/25/2014

3/26/2014

3/27/2014

3/28/2014

3/29/2014

3/30/2014

3/31/2014

4/1/2014

4/2/2014

4/3/2014

4/4/2014

4/5/2014

4/6/2014

4/7/2014

4/8/2014

4/9/2014

4/10/2014

4/11/2014

4/12/2014

4/13/2014

4/14/2014

4/15/2014

4/16/2014

4/17/2014

4/18/2014

4/19/2014

4/20/2014

4/21/2014

4/22/2014

4/23/2014

4/24/2014

4/25/2014

4/26/2014

4/27/2014

4/28/2014

4/29/2014

4/30/2014

5/1/2014

5/2/2014

1 2 3 4 5 6 7 8 9 1 0 1 1 1 20

1

2

3

4

5

6

7

8

9

5

0

Frecuencia

m

Axis

Titl

e

Page 4: EstadÃ-stica descriptiva numérica(semana 2)

Calcule las medidas de tendencia central: media, mediana y moda.Calcule las medidas de dispersión: rango, varianza y desviación estándar.Calcule el coeficiente de variabilidad (CV=desvest / media).

Calcule las medidas de tendencia central: media, mediana y moda.

Calcule las medidas de dispersión: rango, varianza y desviación estándar.

Calcule el coeficiente de variabilidad (CV=desvest / media).

Page 5: EstadÃ-stica descriptiva numérica(semana 2)

Se aproxima al entero siguiente

1/1/2

014

1/5/2

014

1/9/2

014

1/13/2

014

1/17/2

014

1/21/2

014

1/25/2

014

1/29/2

014

2/2/2

014

2/6/2

014

2/10/2

014

2/14/2

014

2/18/2

014

2/22/2

014

2/26/2

014

3/2/2

014

3/6/2

014

3/10/2

014

3/14/2

014

3/18/2

014

3/22/2

014

3/26/2

014

3/30/2

014

4/3/2

014

4/7/2

014

4/11/2

014

4/15/2

014

4/19/2

014

4/23/2

014

4/27/2

014

5/1/2

0140

10

20

30

40

50

60

Tasa de cambio representativa del mercado (TRM); de enero 1 amayo 2 de 2014.

TRM

1 2 3 4 5 6 7 8 9 1 0 1 1 1 20

1

2

3

4

5

6

7

8

9

5

0

Frecuencia

m

Axis

Titl

e

Page 6: EstadÃ-stica descriptiva numérica(semana 2)

1 2 3 4 5 6 7 8 9 1 0 1 1 1 20

1

2

3

4

5

6

7

8

9

5

0

Frecuencia

m

Axis

Titl

e

Page 7: EstadÃ-stica descriptiva numérica(semana 2)

FECHAPrecio Interno

$ / 125 Kg ESTADÍSTICAS DESCRIPTIVAS NUMÉRICASDiario

3-ene-11 977,500

4-ene-11 946,125

5-ene-11 939,875

6-ene-11 930,750

7-ene-11 940,000

10-ene-11 944,625

11-ene-11 951,750

12-ene-11 965,125

13-ene-11 960,000

14-ene-11 955,125

17-ene-11 955,125

18-ene-11 940,000

19-ene-11 919,750

20-ene-11 922,250

21-ene-11 950,000

24-ene-11 935,000

25-ene-11 910,000

26-ene-11 936,500

27-ene-11 933,250

28-ene-11 960,000

31-ene-11 960,000

1-feb-11 967,000

2-feb-11 976,000

3-feb-11 983,375

4-feb-11 980,000

7-feb-11 979,500

8-feb-11 979,625

9-feb-11 992,625

10-feb-11 993,750

11-feb-11 981,750

14-feb-11 988,500

15-feb-11 985,000

16-feb-11 1,020,000

17-feb-11 1,055,375

18-feb-11 1,065,000

21-feb-11 1,065,000

22-feb-11 1,090,000

23-feb-11 1,084,050

24-feb-11 1,076,000

25-feb-11 1,089,250

28-feb-11 1,097,000

Los siguientes datos representan el precio interno del café para una carga de 125 Kg en los años 2011 y 2012.

a) Calcule las medidas de tendencia central: media, mediana y moda.b) Calcule las medidas de dispersión: rango, varianza y desviación estándar.c) Calcule el coeficiente de variabilidad (CV=desvest / media).d) Calcule los cuartiles.e) Calule los percentiles 65, 95 y 15.f) Realice un gráfico de líneasg) Realice una tabla de frecuencias agrupadas.h) Realice un histograma de frecuencias.

Page 8: EstadÃ-stica descriptiva numérica(semana 2)

1-mar-11 1,091,000

2-mar-11 1,088,500

3-mar-11 1,095,000

4-mar-11 1,092,250

7-mar-11 1,110,000

8-mar-11 1,133,500

9-mar-11 1,164,375

10-mar-11 1,093,500

11-mar-11 1,079,500

14-mar-11 1,079,500

15-mar-11 1,045,750

16-mar-11 1,059,250

17-mar-11 1,070,625

18-mar-11 1,089,625

21-mar-11 1,090,000

22-mar-11 1,072,375

23-mar-11 1,054,000

24-mar-11 1,049,875

25-mar-11 1,060,250

28-mar-11 1,047,375

29-mar-11 1,041,000

30-mar-11 1,051,750

31-mar-11 1,047,000

1-abr-11 1,017,865

4-abr-11 1,000,000

5-abr-11 1,039,000

6-abr-11 1,026,500

7-abr-11 1,046,500

8-abr-11 1,053,125

11-abr-11 1,045,500

12-abr-11 1,046,875

13-abr-11 1,063,625

14-abr-11 1,066,250

15-abr-11 1,097,375

18-abr-11 1,088,625

19-abr-11 1,102,875

20-abr-11 1,111,375

21-abr-11 1,098,500

22-abr-11 1,098,500

25-abr-11 1,082,875

26-abr-11 1,109,375

27-abr-11 1,099,500

28-abr-11 1,100,625

29-abr-11 1,099,375

2-may-11 1,114,375

3-may-11 1,109,000

4-may-11 1,070,375

5-may-11 1,047,750

Page 9: EstadÃ-stica descriptiva numérica(semana 2)

6-may-11 1,050,125

9-may-11 1,061,000

10-may-11 1,038,500

11-may-11 1,017,250

12-may-11 1,016,750

13-may-11 1,004,250

16-may-11 998,000

17-may-11 1,009,500

18-may-11 1,019,875

19-may-11 995,125

20-may-11 982,000

23-may-11 1,000,750

24-may-11 1,000,000

25-may-11 1,012,125

26-may-11 1,011,500

27-may-11 989,785

30-may-11 989,785

31-may-11 986,375

1-jun-11 957,625

2-jun-11 968,375

3-jun-11 1,001,750

6-jun-11 963,125

7-jun-11 963,375

8-jun-11 973,000

9-jun-11 985,250

10-jun-11 994,000

13-jun-11 1,003,875

14-jun-11 1,001,125

15-jun-11 990,875

16-jun-11 978,000

17-jun-11 942,500

20-jun-11 915,250

21-jun-11 921,125

22-jun-11 918,750

23-jun-11 931,500

24-jun-11 943,250

27-jun-11 945,125

28-jun-11 957,125

29-jun-11 963,875

30-jun-11 971,625

1-jul-11 962,875

1-jul-11 962,875

4-jul-11 962,875

5-jul-11 990,000

6-jul-11 975,875

7-jul-11 980,000

8-jul-11 960,750

11-jul-11 950,625

Page 10: EstadÃ-stica descriptiva numérica(semana 2)

12-jul-11 944,125

13-jul-11 959,000

14-jul-11 938,000

15-jul-11 932,375

18-jul-11 911,875

19-jul-11 900,125

20-jul-11 900,125

21-jul-11 890,375

22-jul-11 890,125

25-jul-11 899,500

26-jul-11 911,500

27-jul-11 902,750

28-jul-11 900,000

29-jul-11 906,625

1-ago-11 907,150

2-ago-11 916,125

3-ago-11 916,375

4-ago-11 900,125

5-ago-11 916,750

8-ago-11 904,250

9-ago-11 900,125

10-ago-11 895,750

11-ago-11 913,125

12-ago-11 910,375

15-ago-11 930,250

16-ago-11 945,500

17-ago-11 969,750

18-ago-11 982,000

19-ago-11 989,250

22-ago-11 990,250

23-ago-11 1,011,000

24-ago-11 1,015,125

25-ago-11 1,026,250

26-ago-11 1,042,000

29-ago-11 1,049,000

30-ago-11 1,054,875

31-ago-11 1,053,250

1-sep-11 1,059,375

2-sep-11 1,056,625

5-sep-11 1,035,625

6-sep-11 1,035,625

7-sep-11 1,047,625

8-sep-11 1,042,000

9-sep-11 999,125

12-sep-11 1,015,875

13-sep-11 1,005,375

14-sep-11 999,250

15-sep-11 972,500

Page 11: EstadÃ-stica descriptiva numérica(semana 2)

16-sep-11 950,000

19-sep-11 976,000

20-sep-11 970,250

21-sep-11 946,000

22-sep-11 929,125

23-sep-11 892,500

26-sep-11 911,875

27-sep-11 921,750

28-sep-11 906,875

29-sep-11 897,375

30-sep-11 903,250

3-oct-11 895,875

4-oct-11 911,500

5-oct-11 904,875

6-oct-11 925,250

7-oct-11 880,125

10-oct-11 887,000

11-oct-11 878,000

12-oct-11 892,500

13-oct-11 919,625

14-oct-11 927,375

17-oct-11 906,250

18-oct-11 899,750

19-oct-11 920,000

20-oct-11 907,750

21-oct-11 950,750

24-oct-11 963,000

25-oct-11 912,500

26-oct-11 900,125

27-oct-11 900,000

28-oct-11 900,000

31-oct-11 876,500

1-nov-11 876,350

2-nov-11 879,875

3-nov-11 897,500

4-nov-11 909,625

7-nov-11 916,625

8-nov-11 908,375

9-nov-11 916,125

10-nov-11 915,125

11-nov-11 930,625

14-nov-11 918,875

15-nov-11 941,750

16-nov-11 929,000

17-nov-11 923,500

18-nov-11 948,000

21-nov-11 940,375

22-nov-11 935,750

Page 12: EstadÃ-stica descriptiva numérica(semana 2)

23-nov-11 942,000

24-nov-11 942,000

25-nov-11 939,500

28-nov-11 920,250

29-nov-11 929,125

30-nov-11 952,000

1-dic-11 943,250

2-dic-11 918,625

5-dic-11 941,750

6-dic-11 938,875

7-dic-11 917,250

8-dic-11 914,000

9-dic-11 910,375

12-dic-11 885,000

13-dic-11 893,250

14-dic-11 876,500

15-dic-11 874,125

16-dic-11 869,625

19-dic-11 883,750

20-dic-11 888,875

21-dic-11 881,000

22-dic-11 884,500

23-dic-11 871,375

26-dic-11 871,375

27-dic-11 885,250

28-dic-11 915,250

29-dic-11 904,500

30-dic-11 913,375

2-ene-12 913,375

3-ene-12 894,375

4-ene-12 879,750

5-ene-12 859,000

6-ene-12 868,375

9-ene-12 868,875

10-ene-12 875,875

11-ene-12 903,000

12-ene-12 896,625

13-ene-12 878,875

16-ene-12 878,875

17-ene-12 878,375

18-ene-12 865,750

19-ene-12 876,000

20-ene-12 886,500

23-ene-12 860,750

24-ene-12 862,625

25-ene-12 851,750

26-ene-12 860,500

27-ene-12 857,625

Page 13: EstadÃ-stica descriptiva numérica(semana 2)

30-ene-12 859,625

31-ene-12 848,125

1-feb-12 847,250

2-feb-12 851,500

3-feb-12 844,625

6-feb-12 867,250

7-feb-12 869,250

8-feb-12 865,250

9-feb-12 848,750

10-feb-12 860,625

13-feb-12 844,375

14-feb-12 823,375

15-feb-12 810,750

16-feb-12 805,125

17-feb-12 798,625

20-feb-12 815,250

21-feb-12 801,500

22-feb-12 799,500

23-feb-12 806,375

24-feb-12 799,750

27-feb-12 799,750

28-feb-12 801,250

29-feb-12 793,000

1-mar-12 797,750

2-mar-12 782,250

5-mar-12 782,375

6-mar-12 764,625

7-mar-12 735,000

8-mar-12 736,125

9-mar-12 721,125

12-mar-12 718,375

13-mar-12 716,250

14-mar-12 708,125

15-mar-12 714,875

16-mar-12 711,250

19-mar-12 714,375

20-mar-12 712,750

21-mar-12 718,125

22-mar-12 685,625

23-mar-12 703,125

26-mar-12 706,125

27-mar-12 728,750

28-mar-12 710,875

29-mar-12 699,625

30-mar-12 725,750

2-abr-12 728,875

3-abr-12 726,375

4-abr-12 720,125

Page 14: EstadÃ-stica descriptiva numérica(semana 2)

5-abr-12 719,000

6-abr-12 719,000

9-abr-12 701,625

10-abr-12 706,625

11-abr-12 713,250

12-abr-12 713,500

13-abr-12 708,500

16-abr-12 690,875

17-abr-12 682,500

18-abr-12 686,000

19-abr-12 687,625

20-abr-12 699,875

23-abr-12 694,750

24-abr-12 706,125

25-abr-12 682,250

26-abr-12 681,500

27-abr-12 683,625

30-abr-12 691,250

1-may-12 701,250

2-may-12 693,125

3-may-12 675,375

4-may-12 671,500

7-may-12 670,875

8-may-12 673,000

9-may-12 674,500

10-may-12 681,875

11-may-12 675,500

14-may-12 674,125

15-may-12 678,500

16-may-12 680,500

17-may-12 688,125

18-may-12 687,250

21-may-12 674,375

22-may-12 674,000

23-may-12 652,250

24-may-12 651,625

25-may-12 652,000

28-may-12 652,000

29-may-12 644,000

30-may-12 642,250

31-may-12 639,875

1-jun-12 618,000

4-jun-12 613,375

5-jun-12 598,750

6-jun-12 593,125

7-jun-12 592,000

8-jun-12 590,500

11-jun-12 583,500

Page 15: EstadÃ-stica descriptiva numérica(semana 2)

12-jun-12 583,625

13-jun-12 580,000

14-jun-12 571,875

15-jun-12 573,000

18-jun-12 570,250

19-jun-12 588,125

20-jun-12 565,500

21-jun-12 590,625

22-jun-12 578,375

25-jun-12 592,625

26-jun-12 615,375

27-jun-12 605,000

28-jun-12 606,000

29-jun-12 622,875

2-jul-12 637,500

3-jul-12 647,875

4-jul-12 647,875

5-jul-12 649,000

6-jul-12 635,875

9-jul-12 658,250

10-jul-12 658,625

11-jul-12 611,000

12-jul-12 655,250

13-jul-12 665,625

16-jul-12 658,750

17-jul-12 655,375

18-jul-12 654,375

19-jul-12 676,875

20-jul-12 669,250

23-jul-12 670,625

24-jul-12 637,125

25-jul-12 641,875

26-jul-12 629,500

27-jul-12 629,375

30-jul-12 645,500

31-jul-12 632,375

1-ago-12 631,125

2-ago-12 625,500

3-ago-12 627,875

6-ago-12 638,125

7-ago-12 628,375

8-ago-12 620,125

9-ago-12 616,750

10-ago-12 617,000

13-ago-12 609,500

14-ago-12 609,125

15-ago-12 610,500

16-ago-12 596,875

Page 16: EstadÃ-stica descriptiva numérica(semana 2)

17-ago-12 597,250

20-ago-12 604,875

21-ago-12 602,000

22-ago-12 593,750

23-ago-12 591,750

24-ago-12 597,750

27-ago-12 615,000

28-ago-12 619,750

29-ago-12 614,750

30-ago-12 605,000

31-ago-12 607,750

3-sep-12 610,250

4-sep-12 610,250

5-sep-12 587,250

6-sep-12 575,500

7-sep-12 593,625

10-sep-12 631,750

11-sep-12 642,250

12-sep-12 645,375

13-sep-12 649,375

14-sep-12 653,125

17-sep-12 631,625

18-sep-12 641,375

19-sep-12 630,625

20-sep-12 607,875

21-sep-12 626,625

24-sep-12 624,250

25-sep-12 656,875

26-sep-12 611,875

27-sep-12 630,750

28-sep-12 626,625

1-oct-12 645,000

2-oct-12 656,625

3-oct-12 652,500

4-oct-12 627,750

5-oct-12 603,375

8-oct-12 603,375

9-oct-12 594,125

10-oct-12 586,875

11-oct-12 577,250

12-oct-12 580,250

15-oct-12 577,000

16-oct-12 582,625

17-oct-12 578,375

18-oct-12 568,375

19-oct-12 577,500

22-oct-12 591,875

23-oct-12 579,625

Page 17: EstadÃ-stica descriptiva numérica(semana 2)

24-oct-12 575,500

25-oct-12 580,375

26-oct-12 568,625

29-oct-12 583,750

30-oct-12 565,000

31-oct-12 558,125

1-nov-12 551,375

2-nov-12 556,375

5-nov-12 542,125

6-nov-12 542,125

7-nov-12 539,000

8-nov-12 539,250

9-nov-12 538,875

12-nov-12 550,500

13-nov-12 524,875

14-nov-12 532,000

15-nov-12 535,750

16-nov-12 531,750

19-nov-12 541,625

20-nov-12 536,375

21-nov-12 538,000

22-nov-12 538,000

23-nov-12 533,875

26-nov-12 523,875

27-nov-12 525,625

28-nov-12 545,500

29-nov-12 547,125

30-nov-12 530,375

3-dic-12 534,625

4-dic-12 525,000

5-dic-12 527,500

6-dic-12 534,250

7-dic-12 544,125

10-dic-12 519,625

11-dic-12 529,375

12-dic-12 516,375

13-dic-12 506,375

14-dic-12 512,000

17-dic-12 522,125

18-dic-12 513,125

19-dic-12 515,500

20-dic-12 507,625

21-dic-12 517,000

24-dic-12 516,625

25-dic-12 516,625

26-dic-12 522,500

27-dic-12 521,250

28-dic-12 515,375

Page 18: EstadÃ-stica descriptiva numérica(semana 2)

31-dic-12 504,375

Page 19: EstadÃ-stica descriptiva numérica(semana 2)

Calcule las medidas de tendencia central: media, mediana y moda.Calcule las medidas de dispersión: rango, varianza y desviación estándar.Calcule el coeficiente de variabilidad (CV=desvest / media).

Realice una tabla de frecuencias agrupadas.

Page 20: EstadÃ-stica descriptiva numérica(semana 2)

Fecha Oro ESTADÍSTICA DESCRIPTIVA NUMÉRICA12/31/2012 $ 86,918.20

12/30/2012 $ 86,918.20

12/29/2012 $ 86,918.20

12/28/2012 $ 86,918.20

12/27/2012 $ 86,732.35

12/26/2012 $ 87,208.12

12/25/2012 $ 87,520.38

12/24/2012 $ 87,520.38

12/23/2012 $ 87,212.89

12/22/2012 $ 87,212.89

12/21/2012 $ 87,212.89

12/20/2012 $ 88,283.39

12/19/2012 $ 88,862.86

12/18/2012 $ 90,332.33

12/17/2012 $ 89,896.87

12/16/2012 $ 90,076.02

12/15/2012 $ 90,076.02

12/14/2012 $ 90,076.02

12/13/2012 $ 90,046.27

12/12/2012$ 91,252.26

12/11/2012 $ 90,999.53

12/10/2012 $ 90,834.45

12/9/2012 $ 90,536.26

12/8/2012 $ 90,536.26

12/7/2012 $ 90,536.26

12/6/2012 $ 90,691.42

12/5/2012 $ 91,354.04

12/4/2012 $ 91,563.29

12/3/2012 $ 92,166.31

12/2/2012 $ 92,931.41

12/1/2012 $ 92,931.41

11/30/2012 $ 92,931.41

11/29/2012 $ 93,094.48

11/28/2012 $ 93,905.90

Los siguientes datos representan el precio de compra del oro en pesos colombianos por cada gramo fino en los años 2010, 2011 y 2012 en Colombia.

http://www.banrep.gov.co/es/series-estadisticas/see_met_prec_dia.htm

a) Realice un gráfico de líneasb) Calcule las medidas de tendencia central: media, mediana y moda.c) Calcule las medidas de dispersión: rango, varianza y desviación estándar.d) Calcule el coeficiente de variabilidad (CV=desvest / media).e) Calcule los cuartiles.f) Calule los percentiles 59, 95 y 15.g) Realice una tabla de frecuencias agrupadas.h) Realice un histograma de frecuencias.

Page 21: EstadÃ-stica descriptiva numérica(semana 2)

11/27/2012 $ 94,272.99

11/26/2012 $ 94,069.36

11/25/2012 $ 93,169.58

11/24/2012$ 93,169.58

11/23/2012 $ 93,169.58

11/22/2012 $ 92,901.04

11/21/2012 $ 92,730.73

11/20/2012 $ 93,227.26

11/19/2012 $ 92,944.43

11/18/2012 $ 92,186.79

11/17/2012 $ 92,186.79

11/16/2012 $ 92,186.79

11/15/2012 $ 92,689.76

11/14/2012 $ 92,799.65

11/13/2012 $ 92,695.25

11/12/2012 $ 92,982.73

11/11/2012 $ 92,982.73

11/10/2012 $ 92,982.73

11/9/2012 $ 92,982.73

11/8/2012 $ 92,061.68

11/7/2012 $ 92,901.91

11/6/2012 $ 91,512.67

11/5/2012 $ 92,238.46

11/4/2012 $ 92,238.46

11/3/2012 $ 92,238.46

11/2/2012 $ 92,238.46

11/1/2012 $ 93,341.49

10/31/2012 $ 92,988.01

10/30/2012 $ 92,772.83

10/29/2012 $ 92,323.47

10/28/2012 $ 91,579.05

10/27/2012 $ 91,579.05

10/26/2012 $ 91,579.05

10/25/2012 $ 92,184.43

10/24/2012 $ 91,802.20

10/23/2012 $ 91,563.66

10/22/2012 $ 91,761.19

10/21/2012 $ 92,134.49

10/20/2012 $ 92,134.49

10/19/2012 $ 92,134.49

10/18/2012 $ 92,990.36

10/17/2012 $ 92,939.84

Page 22: EstadÃ-stica descriptiva numérica(semana 2)

10/16/2012 $ 92,388.09

10/15/2012 $ 93,956.69

10/14/2012 $ 93,956.69

10/13/2012 $ 93,956.69

10/12/2012 $ 93,956.69

10/11/2012 $ 94,079.76

10/10/2012 $ 93,777.38

10/9/2012 $ 94,036.68

10/8/2012 $ 93,943.74

10/7/2012 $ 95,179.68

10/6/2012 $ 95,179.68

10/5/2012 $ 95,179.68

10/4/2012 $ 95,138.88

10/3/2012 $ 94,563.75

10/2/2012 $ 94,583.44

10/1/2012 $ 94,291.53

9/30/2012 $ 94,722.19

9/29/2012 $ 94,722.19

9/28/2012$ 94,722.19

9/27/2012 $ 93,429.00

9/26/2012 $ 93,680.07

9/25/2012 $ 94,027.54

9/24/2012 $ 93,456.35

9/23/2012 $ 94,383.82

9/22/2012 $ 94,383.82

9/21/2012 $ 94,383.82

9/20/2012 $ 93,479.32

9/19/2012 $ 94,487.24

9/18/2012 $ 93,520.27

9/17/2012 $ 93,544.49

9/16/2012 $ 94,348.24

9/15/2012 $ 94,348.24

9/14/2012 $ 94,348.24

9/13/2012 $ 92,248.26

9/12/2012 $ 92,549.72

9/11/2012 $ 92,275.43

9/10/2012 $ 92,118.61

9/9/2012 $ 90,502.98

9/8/2012 $ 90,502.98

9/7/2012 $ 90,502.98

9/6/2012 $ 91,673.84

9/5/2012 $ 91,191.56

Page 23: EstadÃ-stica descriptiva numérica(semana 2)

9/4/2012 $ 91,319.52

9/3/2012 $ 91,022.59

9/2/2012 $ 89,756.85

9/1/2012 $ 89,756.85

8/31/2012 $ 89,756.85

8/30/2012 $ 89,845.63

8/29/2012 $ 90,034.45

8/28/2012 $ 89,622.38

8/27/2012 $ 89,458.18

8/26/2012 $ 89,137.78

8/25/2012 $ 89,137.78

8/24/2012 $ 89,137.78

8/23/2012 $ 89,147.57

8/22/2012 $ 88,109.56

8/21/2012 $ 87,549.53

8/20/2012 $ 87,285.30

8/19/2012 $ 87,285.30

8/18/2012 $ 87,285.30

8/17/2012 $ 87,285.30

8/16/2012 $ 86,187.78

8/15/2012 $ 84,945.29

8/14/2012 $ 85,617.64

8/13/2012 $ 85,968.65

8/12/2012 $ 85,072.03

8/11/2012 $ 85,072.03

8/10/2012 $ 85,072.03

8/9/2012 $ 85,294.42

8/8/2012 $ 84,860.08

8/7/2012 $ 84,883.48

8/6/2012 $ 84,883.48

8/5/2012 $ 84,494.37

8/4/2012 $ 84,494.37

8/3/2012 $ 84,494.37

8/2/2012 $ 84,833.43

8/1/2012 $ 85,529.64

7/31/2012 $ 85,870.82

7/30/2012 $ 85,640.50

7/29/2012 $ 85,668.73

7/28/2012 $ 85,668.73

7/27/2012 $ 85,668.73

7/26/2012 $ 85,321.67

7/25/2012 $ 84,395.71

Page 24: EstadÃ-stica descriptiva numérica(semana 2)

7/24/2012 $ 83,301.95

7/23/2012 $ 82,544.33

7/22/2012 $ 83,106.70

7/21/2012 $ 83,106.70

7/20/2012 $ 83,106.70

7/19/2012 $ 83,106.70

7/18/2012 $ 83,112.63

7/17/2012 $ 83,902.29

7/16/2012 $ 83,407.52

7/15/2012 $ 83,607.09

7/14/2012 $ 83,607.09

7/13/2012 $ 83,607.09

7/12/2012 $ 82,781.13

7/11/2012 $ 83,238.76

7/10/2012 $ 84,433.93

7/9/2012 $ 83,485.24

7/8/2012 $ 83,540.65

7/7/2012 $ 83,540.65

7/6/2012 $ 83,540.65

7/5/2012 $ 84,716.92

7/4/2012 $ 84,730.02

7/3/2012 $ 84,906.47

7/2/2012 $ 83,822.71

7/1/2012 $ 83,822.71

6/30/2012 $ 83,822.71

6/29/2012 $ 83,822.71

6/28/2012 $ 83,292.42

6/27/2012 $ 83,694.56

6/26/2012 $ 84,452.62

6/25/2012 $ 82,954.61

6/24/2012 $ 82,500.63

6/23/2012 $ 82,500.63

6/22/2012 $ 82,500.63

6/21/2012 $ 83,784.80

6/20/2012 $ 84,900.73

6/19/2012 $ 86,039.73

6/18/2012 $ 85,777.66

6/17/2012 $ 85,777.66

6/16/2012 $ 85,777.66

6/15/2012 $ 85,777.66

6/14/2012 $ 85,405.65

6/13/2012 $ 84,742.98

6/12/2012 $ 83,498.29

Page 25: EstadÃ-stica descriptiva numérica(semana 2)

6/11/2012 $ 82,366.28

6/10/2012 $ 82,366.28

6/9/2012 $ 82,366.28

6/8/2012 $ 82,366.28

6/7/2012 $ 85,471.12

6/6/2012 $ 86,901.33

6/5/2012 $ 83,371.24

6/4/2012 $ 84,251.54

6/3/2012 $ 84,209.75

6/2/2012 $ 84,209.75

6/1/2012 $ 84,209.75

5/31/2012 $ 84,746.57

5/30/2012 $ 83,320.11

5/29/2012 $ 85,683.11

5/28/2012 $ 85,968.94

5/27/2012 $ 84,766.00

5/26/2012 $ 84,766.00

5/25/2012 $ 84,766.00

5/24/2012 $ 85,059.34

5/23/2012 $ 83,928.18

5/22/2012 $ 84,569.45

5/21/2012 $ 84,778.80

5/20/2012 $ 84,778.80

5/19/2012 $ 84,778.80

5/18/2012 $ 84,778.80

5/17/2012 $ 82,072.40

5/16/2012 $ 80,875.32

5/15/2012 $ 81,694.08

5/14/2012 $ 81,584.23

5/13/2012 $ 82,525.22

5/12/2012 $ 82,525.22

5/11/2012 $ 82,525.22

5/10/2012 $ 83,523.58

5/9/2012 $ 82,566.85

5/8/2012 $ 84,656.80

5/7/2012 $ 84,696.27

5/6/2012 $ 84,583.00

5/5/2012 $ 84,583.00

5/4/2012 $ 84,583.00

5/3/2012 $ 85,511.88

5/2/2012 $ 86,222.15

5/1/2012 $ 86,606.23

4/30/2012 $ 86,606.23

Page 26: EstadÃ-stica descriptiva numérica(semana 2)

4/29/2012 $ 86,331.24

4/28/2012 $ 86,331.24

4/27/2012 $ 86,331.24

4/26/2012 $ 85,993.09

4/25/2012 $ 85,824.98

4/24/2012 $ 86,010.77

4/23/2012 $ 85,496.71

4/22/2012 $ 86,154.96

4/21/2012 $ 86,154.96

4/20/2012 $ 86,154.96

4/19/2012 $ 86,170.17

4/18/2012 $ 86,156.00

4/17/2012 $ 86,766.30

4/16/2012 $ 86,640.04

4/15/2012 $ 87,891.63

4/14/2012 $ 87,891.63

4/13/2012 $ 87,891.63

4/12/2012 $ 87,537.25

4/11/2012 $ 87,733.87

4/10/2012 $ 86,520.67

4/9/2012 $ 85,068.61

4/8/2012 $ 85,324.82

4/7/2012 $ 85,324.82

4/6/2012 $ 85,324.82

4/5/2012 $ 85,324.82

4/4/2012 $ 85,324.82

4/3/2012 $ 88,132.58

4/2/2012 $ 88,203.76

4/1/2012 $ 87,667.49

3/31/2012 $ 87,667.49

3/30/2012 $ 87,667.49

3/29/2012 $ 86,746.79

3/28/2012 $ 87,447.41

3/27/2012 $ 88,166.02

3/26/2012 $ 86,321.29

3/25/2012 $ 86,039.87

3/24/2012 $ 86,039.87

3/23/2012 $ 86,039.87

3/22/2012 $ 85,072.34

3/21/2012 $ 86,198.07

3/20/2012 $ 85,739.41

3/19/2012 $ 85,894.18

3/18/2012 $ 85,894.18

Page 27: EstadÃ-stica descriptiva numérica(semana 2)

3/17/2012 $ 85,894.18

3/16/2012 $ 85,894.18

3/15/2012 $ 85,777.96

3/14/2012 $ 86,559.05

3/13/2012 $ 88,531.89

3/12/2012 $ 88,877.63

3/11/2012 $ 88,727.74

3/10/2012 $ 88,727.74

3/9/2012 $ 88,727.74

3/8/2012 $ 89,276.05

3/7/2012 $ 88,549.87

3/6/2012 $ 88,444.03

3/5/2012 $ 89,183.32

3/4/2012 $ 89,796.89

3/3/2012 $ 89,796.89

3/2/2012 $ 89,796.89

3/1/2012 $ 89,941.34

2/29/2012 $ 93,494.66

2/28/2012 $ 93,297.37

2/27/2012 $ 92,531.62

2/26/2012 $ 93,433.48

2/25/2012 $ 93,433.48

2/24/2012 $ 93,433.48

2/23/2012 $ 93,615.32

2/22/2012 $ 92,262.60

2/21/2012 $ 91,443.38

2/20/2012 $ 91,048.55

2/19/2012 $ 91,851.79

2/18/2012 $ 91,851.79

2/17/2012 $ 91,851.79

2/16/2012 $ 90,920.54

2/15/2012 $ 91,115.11

2/14/2012 $ 90,515.04

2/13/2012 $ 91,212.19

2/12/2012 $ 90,065.42

2/11/2012 $ 90,065.42

2/10/2012 $ 90,065.42

2/9/2012 $ 91,186.16

2/8/2012 $ 91,941.24

2/7/2012 $ 90,963.06

2/6/2012 $ 90,642.39

2/5/2012 $ 93,447.05

2/4/2012 $ 93,447.05

Page 28: EstadÃ-stica descriptiva numérica(semana 2)

2/3/2012 $ 93,447.05

2/2/2012 $ 92,919.83

2/1/2012 $ 93,161.88

1/31/2012 $ 93,309.18

1/30/2012 $ 92,139.10

1/29/2012 $ 91,777.84

1/28/2012 $ 91,777.84

1/27/2012 $ 91,777.84

1/26/2012 $ 91,947.22

1/25/2012 $ 89,043.31

1/24/2012 $ 89,430.46

1/23/2012 $ 90,604.12

1/22/2012 $ 88,700.01

1/21/2012 $ 88,700.01

1/20/2012 $ 88,700.01

1/19/2012 $ 89,934.79

1/18/2012 $ 90,002.47

1/17/2012 $ 90,518.37

1/16/2012 $ 89,510.79

1/15/2012 $ 89,485.44

1/14/2012 $ 89,485.44

1/13/2012 $ 89,485.44

1/12/2012 $ 90,629.55

1/11/2012 $ 90,527.92

1/10/2012 $ 90,689.20

1/9/2012 $ 90,353.32

1/8/2012 $ 90,353.32

1/7/2012 $ 90,353.32

1/6/2012 $ 90,353.32

1/5/2012 $ 90,650.04

1/4/2012 $ 90,799.95

1/3/2012 $ 91,365.38

1/2/2012 $ 90,474.71

1/1/2012 $ 88,158.50

12/31/2011 $ 88,158.50

12/30/2011 $ 88,158.50

12/29/2011 $ 88,158.50

12/28/2011 $ 89,964.55

12/27/2011 $ 91,335.86

12/26/2011 $ 91,335.86

12/25/2011 $ 91,658.24

12/24/2011 $ 91,658.24

12/23/2011 $ 91,658.24

Page 29: EstadÃ-stica descriptiva numérica(semana 2)

12/22/2011 $ 92,124.97

12/21/2011 $ 93,580.47

12/20/2011 $ 92,070.18

12/19/2011 $ 91,205.11

12/18/2011 $ 91,019.77

12/17/2011 $ 91,019.77

12/16/2011 $ 91,019.77

12/15/2011 $ 91,125.53

12/14/2011 $ 93,289.13

12/13/2011 $ 95,162.89

12/12/2011 $ 95,761.81

12/11/2011 $ 97,761.56

12/10/2011 $ 97,761.56

12/9/2011 $ 97,761.56

12/8/2011 $ 99,130.18

12/7/2011 $ 99,130.18

12/6/2011 $ 98,509.40

12/5/2011 $ 100,014.98

12/4/2011 $ 100,972.13

12/3/2011 $ 100,972.13

12/2/2011 $ 100,972.13

12/1/2011 $ 100,860.12

11/30/2011 $ 99,149.95

11/29/2011 $ 98,844.94

11/28/2011 $ 98,783.77

11/27/2011 $ 95,807.94

11/26/2011 $ 95,807.94

11/25/2011 $ 95,807.94

11/24/2011 $ 97,122.73

11/23/2011 $ 96,018.54

11/22/2011 $ 96,828.11

11/21/2011 $ 96,643.45

11/20/2011 $ 97,779.31

11/19/2011 $ 97,779.31

11/18/2011 $ 97,779.31

11/17/2011 $ 99,319.98

11/16/2011 $ 100,449.85

11/15/2011 $ 99,904.72

11/14/2011 $ 99,848.12

11/13/2011 $ 99,848.12

11/12/2011 $ 99,848.12

11/11/2011 $ 99,848.12

11/10/2011 $ 100,172.36

Page 30: EstadÃ-stica descriptiva numérica(semana 2)

11/9/2011 $ 100,493.68

11/8/2011 $ 101,656.06

11/7/2011 $ 98,965.75

11/6/2011 $ 98,965.75

11/5/2011 $ 98,965.75

11/4/2011 $ 98,965.75

11/3/2011 $ 96,835.75

11/2/2011 $ 96,839.97

11/1/2011 $ 94,216.26

10/31/2011 $ 94,673.58

10/30/2011 $ 95,599.10

10/29/2011 $ 95,599.10

10/28/2011 $ 95,599.10

10/27/2011 $ 94,882.34

10/26/2011 $ 95,030.89

10/25/2011 $ 92,040.85

10/24/2011 $ 92,660.84

10/23/2011 $ 91,497.41

10/22/2011 $ 91,497.41

10/21/2011 $ 91,497.41

10/20/2011 $ 91,553.79

10/19/2011 $ 92,905.99

10/18/2011 $ 92,949.73

10/17/2011 $ 94,642.46

10/16/2011 $ 94,642.46

10/15/2011 $ 94,642.46

10/14/2011 $ 94,642.46

10/13/2011 $ 93,859.44

10/12/2011 $ 95,487.18

10/11/2011 $ 94,958.98

10/10/2011 $ 95,073.24

10/9/2011 $ 95,329.15

10/8/2011 $ 95,329.15

10/7/2011 $ 95,329.15

10/6/2011 $ 95,997.32

10/5/2011 $ 93,362.62

10/4/2011 $ 96,131.71

10/3/2011 $ 94,715.56

10/2/2011 $ 92,276.55

10/1/2011 $ 92,276.55

9/30/2011 $ 92,276.55

9/29/2011 $ 91,414.54

9/28/2011 $ 92,392.38

Page 31: EstadÃ-stica descriptiva numérica(semana 2)

9/27/2011 $ 94,072.95

9/26/2011 $ 90,879.22

9/25/2011 $ 98,024.93

9/24/2011 $ 98,024.93

9/23/2011 $ 98,024.93

9/22/2011 $ 98,292.24

9/21/2011 $ 99,323.48

9/20/2011 $ 97,701.99

9/19/2011 $ 97,830.51

9/18/2011 $ 95,822.71

9/17/2011 $ 95,822.71

9/16/2011 $ 95,822.71

9/15/2011 $ 97,444.45

9/14/2011 $ 98,104.95

9/13/2011 $ 96,760.14

9/12/2011 $ 97,937.88

9/11/2011 $ 99,506.14

9/10/2011 $ 99,506.14

9/9/2011 $ 99,506.14

9/8/2011 $ 96,694.22

9/7/2011 $ 97,735.22

9/6/2011 $ 99,717.86

9/5/2011 $ 100,007.89

9/4/2011 $ 97,531.49

9/3/2011 $ 97,531.49

9/2/2011 $ 97,531.49

9/1/2011 $ 95,600.13

8/31/2011 $ 96,336.68

8/30/2011 $ 94,694.62

8/29/2011 $ 94,826.70

8/28/2011 $ 94,669.71

8/27/2011 $ 94,669.71

8/26/2011 $ 94,669.71

8/25/2011 $ 90,963.28

8/24/2011 $ 97,507.11

8/23/2011 $ 99,316.51

8/22/2011 $ 98,810.87

8/21/2011 $ 97,805.28

8/20/2011 $ 97,805.28

8/19/2011 $ 97,805.28

8/18/2011 $ 93,805.89

8/17/2011 $ 94,171.85

8/16/2011 $ 93,840.72

Page 32: EstadÃ-stica descriptiva numérica(semana 2)

8/15/2011 $ 93,100.08

8/14/2011 $ 93,100.08

8/13/2011 $ 93,100.08

8/12/2011 $ 93,100.08

8/11/2011 $ 95,140.79

8/10/2011 $ 93,978.39

8/9/2011 $ 94,823.00

8/8/2011 $ 90,659.68

8/7/2011 $ 87,727.83

8/6/2011 $ 87,727.83

8/5/2011 $ 87,727.83

8/4/2011 $ 87,254.64

8/3/2011 $ 87,080.26

8/2/2011 $ 85,110.27

8/1/2011 $ 84,846.82

7/31/2011 $ 84,541.59

7/30/2011 $ 84,541.59

7/29/2011 $ 84,541.59

7/28/2011 $ 84,438.55

7/27/2011 $ 84,381.04

7/26/2011 $ 84,196.07

7/25/2011 $ 84,129.79

7/24/2011 $ 82,498.83

7/23/2011 $ 82,498.83

7/22/2011 $ 82,498.83

7/21/2011 $ 83,200.77

7/20/2011 $ 83,349.82

7/19/2011 $ 83,349.82

7/18/2011 $ 82,772.27

7/17/2011 $ 81,633.17

7/16/2011 $ 81,633.17

7/15/2011 $ 81,633.17

7/14/2011 $ 82,820.69

7/13/2011 $ 82,057.19

7/12/2011 $ 80,788.98

7/11/2011 $ 80,325.33

7/10/2011 $ 79,413.25

7/9/2011 $ 79,413.25

7/8/2011 $ 79,413.25

7/7/2011 $ 79,791.48

7/6/2011 $ 79,204.81

7/5/2011 $ 78,137.46

7/4/2011 $ 78,254.26

Page 33: EstadÃ-stica descriptiva numérica(semana 2)

7/3/2011 $ 78,254.26

7/2/2011 $ 78,254.26

7/1/2011 $ 78,254.26

6/30/2011 $ 79,403.42

6/29/2011 $ 79,590.77

6/28/2011 $ 79,453.35

6/27/2011 $ 80,445.59

6/26/2011 $ 80,445.59

6/25/2011 $ 80,445.59

6/24/2011 $ 80,445.59

6/23/2011 $ 81,119.02

6/22/2011 $ 81,418.93

6/21/2011 $ 81,671.24

6/20/2011 $ 81,277.74

6/19/2011 $ 80,985.55

6/18/2011 $ 80,985.55

6/17/2011 $ 80,985.55

6/16/2011 $ 80,354.48

6/15/2011 $ 79,651.03

6/14/2011 $ 79,869.40

6/13/2011 $ 80,047.33

6/12/2011 $ 80,795.97

6/11/2011 $ 80,795.97

6/10/2011 $ 80,795.97

6/9/2011 $ 80,303.73

6/8/2011 $ 80,395.87

6/7/2011 $ 81,754.63

6/6/2011 $ 80,793.80

6/5/2011 $ 80,793.80

6/4/2011 $ 80,793.80

6/3/2011 $ 80,793.80

6/2/2011 $ 81,549.42

6/1/2011 $ 81,481.13

5/31/2011 $ 82,620.70

5/30/2011 $ 81,840.32

5/29/2011 $ 82,535.43

5/28/2011 $ 82,535.43

5/27/2011 $ 82,535.43

5/26/2011 $ 82,428.36

5/25/2011 $ 82,593.53

5/24/2011 $ 82,232.09

5/23/2011 $ 81,201.13

5/22/2011 $ 80,675.15

Page 34: EstadÃ-stica descriptiva numérica(semana 2)

5/21/2011 $ 80,675.15

5/20/2011 $ 80,675.15

5/19/2011 $ 80,347.62

5/18/2011 $ 80,544.74

5/17/2011 $ 80,285.49

5/16/2011 $ 79,833.69

5/15/2011 $ 80,799.39

5/14/2011 $ 80,799.39

5/13/2011 $ 80,799.39

5/12/2011 $ 79,177.86

5/11/2011 $ 80,793.49

5/10/2011 $ 79,869.83

5/9/2011 $ 78,486.90

5/8/2011 $ 77,866.30

5/7/2011 $ 77,866.30

5/6/2011 $ 77,866.30

5/5/2011 $ 78,997.12

5/4/2011 $ 80,282.13

5/3/2011 $ 80,891.31

5/2/2011 $ 80,072.41

5/1/2011 $ 80,042.98

4/30/2011 $ 80,042.98

4/29/2011 $ 80,042.98

4/28/2011 $ 80,793.35

4/27/2011 $ 79,747.76

4/26/2011 $ 79,307.77

4/25/2011 $ 79,459.08

4/24/2011 $ 79,707.53

4/23/2011 $ 79,707.53

4/22/2011 $ 79,707.53

4/21/2011 $ 79,707.53

4/20/2011 $ 79,707.53

4/19/2011 $ 79,586.95

4/18/2011 $ 79,064.86

4/17/2011 $ 78,881.75

4/16/2011 $ 78,881.75

4/15/2011 $ 78,881.75

4/14/2011 $ 78,441.79

4/13/2011 $ 78,408.59

4/12/2011 $ 78,481.80

4/11/2011 $ 78,992.70

4/10/2011 $ 79,383.11

4/9/2011 $ 79,383.11

Page 35: EstadÃ-stica descriptiva numérica(semana 2)

4/8/2011 $ 79,383.11

4/7/2011 $ 78,708.33

4/6/2011 $ 79,223.20

4/5/2011 $ 78,360.02

4/4/2011 $ 78,766.43

4/3/2011 $ 79,370.71

4/2/2011 $ 79,370.71

4/1/2011 $ 79,370.71

3/31/2011 $ 79,552.50

3/30/2011 $ 79,243.42

3/29/2011 $ 78,539.26

3/28/2011 $ 78,600.77

3/27/2011 $ 79,110.18

3/26/2011 $ 79,110.18

3/25/2011 $ 79,110.18

3/24/2011 $ 79,622.26

3/23/2011 $ 79,107.16

3/22/2011 $ 79,049.42

3/21/2011 $ 78,578.19

3/20/2011 $ 78,578.19

3/19/2011 $ 78,578.19

3/18/2011 $ 78,578.19

3/17/2011 $ 78,569.62

3/16/2011 $ 78,084.95

3/15/2011 $ 78,085.95

3/14/2011 $ 78,632.02

3/13/2011 $ 78,058.43

3/12/2011 $ 78,058.43

3/11/2011 $ 78,058.43

3/10/2011 $ 79,178.10

3/9/2011 $ 80,019.81

3/8/2011 $ 80,356.37

3/7/2011 $ 80,343.41

3/6/2011 $ 79,889.27

3/5/2011 $ 79,889.27

3/4/2011 $ 79,889.27

3/3/2011 $ 81,072.49

3/2/2011 $ 80,952.32

3/1/2011 $ 79,802.54

2/28/2011 $ 79,042.09

2/27/2011 $ 78,893.38

2/26/2011 $ 78,893.38

2/25/2011 $ 78,893.38

Page 36: EstadÃ-stica descriptiva numérica(semana 2)

2/24/2011 $ 79,422.22

2/23/2011 $ 78,322.22

2/22/2011 $ 77,510.18

2/21/2011 $ 77,788.10

2/20/2011 $ 77,596.38

2/19/2011 $ 77,596.38

2/18/2011 $ 77,596.38

2/17/2011 $ 77,699.92

2/16/2011 $ 77,327.92

2/15/2011 $ 76,788.55

2/14/2011 $ 75,460.89

2/13/2011 $ 75,936.96

2/12/2011 $ 75,936.96

2/11/2011 $ 75,936.96

2/10/2011 $ 76,021.05

2/9/2011 $ 75,577.18

2/8/2011 $ 74,965.11

2/7/2011 $ 74,585.53

2/6/2011 $ 74,255.30

2/5/2011 $ 74,255.30

2/4/2011 $ 74,255.30

2/3/2011 $ 73,020.38

2/2/2011 $ 73,293.08

2/1/2011 $ 73,893.74

1/31/2011 $ 73,284.62

1/30/2011 $ 72,350.91

1/29/2011 $ 72,350.91

1/28/2011 $ 72,350.91

1/27/2011 $ 73,665.47

1/26/2011 $ 73,225.86

1/25/2011 $ 72,262.56

1/24/2011 $ 73,295.13

1/23/2011 $ 73,528.13

1/22/2011 $ 73,528.13

1/21/2011 $ 73,528.13

1/20/2011 $ 74,339.28

1/19/2011 $ 75,767.24

1/18/2011 $ 75,808.07

1/17/2011 $ 75,184.99

1/16/2011 $ 75,507.71

1/15/2011 $ 75,507.71

1/14/2011 $ 75,507.71

1/13/2011 $ 75,778.40

Page 37: EstadÃ-stica descriptiva numérica(semana 2)

1/12/2011 $ 75,983.76

1/11/2011 $ 75,976.35

1/10/2011 $ 75,111.47

1/9/2011 $ 75,111.47

1/8/2011 $ 75,111.47

1/7/2011 $ 75,111.47

1/6/2011 $ 77,119.67

1/5/2011 $ 77,704.12

1/4/2011 $ 79,101.05

1/3/2011 $ 79,838.49

1/2/2011 $ 83,078.11

1/1/2011 $ 83,078.11

12/31/2010 $ 83,078.11

12/30/2010 $ 83,078.11

12/29/2010 $ 84,161.92

12/28/2010 $ 80,220.02

12/27/2010 $ 79,197.95

12/26/2010 $ 78,740.21

12/25/2010 $ 78,740.21

12/24/2010 $ 78,740.21

12/23/2010 $ 79,189.97

12/22/2010 $ 79,497.42

12/21/2010 $ 79,069.49

12/20/2010 $ 78,556.32

12/19/2010 $ 77,914.52

12/18/2010 $ 77,914.52

12/17/2010 $ 77,914.52

12/16/2010 $ 78,019.17

12/15/2010 $ 78,014.43

12/14/2010 $ 78,715.93

12/13/2010 $ 78,506.36

12/12/2010 $ 78,229.13

12/11/2010 $ 78,229.13

12/10/2010 $ 78,229.13

12/9/2010 $ 76,883.66

12/8/2010 $ 79,708.14

12/7/2010 $ 79,708.14

12/6/2010 $ 79,189.06

12/5/2010 $ 79,038.97

12/4/2010 $ 79,038.97

12/3/2010 $ 79,038.97

12/2/2010 $ 79,497.92

12/1/2010 $ 79,544.61

Page 38: EstadÃ-stica descriptiva numérica(semana 2)

11/30/2010 $ 77,964.08

11/29/2010 $ 76,700.43

11/28/2010 $ 76,356.44

11/27/2010 $ 76,356.44

11/26/2010 $ 76,356.44

11/25/2010 $ 76,579.95

11/24/2010 $ 77,053.08

11/23/2010 $ 75,762.89

11/22/2010 $ 75,302.64

11/21/2010 $ 74,918.38

11/20/2010 $ 74,918.38

11/19/2010 $ 74,918.38

11/18/2010 $ 75,276.69

11/17/2010 $ 74,358.72

11/16/2010 $ 75,071.20

11/15/2010 $ 76,226.03

11/14/2010 $ 76,226.03

11/13/2010 $ 76,226.03

11/12/2010 $ 76,226.03

11/11/2010 $ 77,654.93

11/10/2010 $ 76,148.85

11/9/2010 $ 76,588.12

11/8/2010 $ 74,733.59

11/7/2010 $ 74,561.59

11/6/2010 $ 74,561.59

11/5/2010 $ 74,561.59

11/4/2010 $ 74,092.65

11/3/2010 $ 74,157.46

11/2/2010 $ 73,573.03

11/1/2010 $ 72,748.37

10/31/2010 $ 72,748.37

10/30/2010 $ 72,748.37

10/29/2010 $ 72,748.37

10/28/2010 $ 72,445.96

10/27/2010 $ 72,446.32

10/26/2010 $ 72,245.94

10/25/2010 $ 72,526.99

10/24/2010 $ 70,860.86

10/23/2010 $ 70,860.86

10/22/2010 $ 70,860.86

10/21/2010 $ 72,124.66

10/20/2010 $ 72,062.29

10/19/2010 $ 73,140.03

Page 39: EstadÃ-stica descriptiva numérica(semana 2)

10/18/2010 $ 73,375.92

10/17/2010 $ 73,375.92

10/16/2010 $ 73,375.92

10/15/2010 $ 73,375.92

10/14/2010 $ 73,168.68

10/13/2010 $ 71,797.13

10/12/2010 $ 70,988.48

10/11/2010 $ 71,252.68

10/10/2010 $ 70,294.89

10/9/2010 $ 70,294.89

10/8/2010 $ 70,294.89

10/7/2010 $ 72,232.81

10/6/2010 $ 71,813.29

10/5/2010 $ 70,667.04

10/4/2010 $ 69,907.55

10/3/2010 $ 69,945.48

10/2/2010 $ 69,945.48

10/1/2010 $ 69,945.48

9/30/2010 $ 69,795.51

9/29/2010 $ 69,770.44

9/28/2010 $ 68,710.43

9/27/2010 $ 69,484.21

9/26/2010 $ 69,519.20

9/25/2010 $ 69,519.20

9/24/2010 $ 69,519.20

9/23/2010 $ 68,903.28

9/22/2010 $ 68,977.75

9/21/2010 $ 68,034.69

9/20/2010 $ 68,418.58

9/19/2010 $ 68,666.95

9/18/2010 $ 68,666.95

9/17/2010 $ 68,666.95

9/16/2010 $ 67,938.36

9/15/2010 $ 67,189.12

9/14/2010 $ 66,475.96

9/13/2010 $ 66,217.58

9/12/2010 $ 66,579.30

9/11/2010 $ 66,579.30

9/10/2010 $ 66,579.30

9/9/2010 $ 66,849.61

9/8/2010 $ 67,299.83

9/7/2010 $ 66,690.79

9/6/2010 $ 66,811.10

Page 40: EstadÃ-stica descriptiva numérica(semana 2)

9/5/2010 $ 67,052.91

9/4/2010 $ 67,052.91

9/3/2010 $ 67,052.91

9/2/2010 $ 66,989.17

9/1/2010 $ 67,524.80

8/31/2010 $ 66,539.71

8/30/2010 $ 66,372.37

8/29/2010 $ 66,145.25

8/28/2010 $ 66,145.25

8/27/2010 $ 66,145.25

8/26/2010 $ 66,777.26

8/25/2010 $ 66,576.86

8/24/2010 $ 65,097.97

8/23/2010 $ 66,087.09

8/22/2010 $ 66,210.09

8/21/2010 $ 66,210.09

8/20/2010 $ 66,210.09

8/19/2010 $ 65,676.38

8/18/2010 $ 65,503.38

8/17/2010 $ 66,568.63

8/16/2010 $ 65,127.02

8/15/2010 $ 65,127.02

8/14/2010 $ 65,127.02

8/13/2010 $ 65,127.02

8/12/2010 $ 64,157.93

8/11/2010 $ 64,142.07

8/10/2010 $ 64,033.02

8/9/2010 $ 64,760.89

8/8/2010 $ 64,250.76

8/7/2010 $ 64,250.76

8/6/2010 $ 64,250.76

8/5/2010 $ 64,517.42

8/4/2010 $ 64,818.89

8/3/2010 $ 64,174.52

8/2/2010 $ 64,209.60

8/1/2010 $ 63,614.77

7/31/2010 $ 63,614.77

7/30/2010 $ 63,614.77

7/29/2010 $ 63,674.15

7/28/2010 $ 63,792.17

7/27/2010 $ 65,121.84

7/26/2010 $ 65,677.15

7/25/2010 $ 70,045.37

Page 41: EstadÃ-stica descriptiva numérica(semana 2)

7/24/2010 $ 70,045.37

7/23/2010 $ 70,045.37

7/22/2010 $ 69,471.54

7/21/2010 $ 69,938.73

7/20/2010 $ 70,098.29

7/19/2010 $ 70,098.29

7/18/2010 $ 70,695.07

7/17/2010 $ 70,695.07

7/16/2010 $ 70,695.07

7/15/2010 $ 71,178.37

7/14/2010 $ 71,105.90

7/13/2010 $ 70,995.93

7/12/2010 $ 70,851.47

7/11/2010 $ 70,858.13

7/10/2010 $ 70,858.13

7/9/2010 $ 70,858.13

7/8/2010 $ 71,597.51

7/7/2010 $ 69,985.55

7/6/2010 $ 71,515.87

7/5/2010 $ 71,995.15

7/4/2010 $ 71,995.15

7/3/2010 $ 71,995.15

7/2/2010 $ 71,995.15

7/1/2010 $ 74,364.61

6/30/2010 $ 74,523.31

6/29/2010 $ 73,679.16

6/28/2010 $ 74,820.58

6/27/2010 $ 73,880.45

6/26/2010 $ 73,880.45

6/25/2010 $ 73,880.45

6/24/2010 $ 73,287.14

6/23/2010 $ 73,488.59

6/22/2010 $ 73,164.37

6/21/2010 $ 75,275.84

6/20/2010 $ 74,200.11

6/19/2010 $ 74,200.11

6/18/2010 $ 74,200.11

6/17/2010 $ 74,001.49

6/16/2010 $ 74,275.61

6/15/2010 $ 73,812.81

6/14/2010 $ 73,795.07

6/13/2010 $ 73,795.07

6/12/2010 $ 73,795.07

Page 42: EstadÃ-stica descriptiva numérica(semana 2)

6/11/2010 $ 73,795.07

6/10/2010 $ 74,322.43

6/9/2010 $ 75,897.83

6/8/2010 $ 76,905.28

6/7/2010 $ 73,998.57

6/6/2010 $ 73,998.57

6/5/2010 $ 73,998.57

6/4/2010 $ 73,998.57

6/3/2010 $ 75,069.99

6/2/2010 $ 75,456.57

6/1/2010 $ 75,383.14

5/31/2010 $ 75,027.78

5/30/2010 $ 74,847.02

5/29/2010 $ 74,847.02

5/28/2010 $ 74,847.02

5/27/2010 $ 75,010.99

5/26/2010 $ 75,617.70

5/25/2010 $ 73,642.64

5/24/2010 $ 74,155.32

5/23/2010 $ 74,854.19

5/22/2010 $ 74,854.19

5/21/2010 $ 74,854.19

5/20/2010 $ 74,325.08

5/19/2010 $ 74,935.83

5/18/2010 $ 74,958.18

5/17/2010 $ 76,094.13

5/16/2010 $ 76,094.13

5/15/2010 $ 76,094.13

5/14/2010 $ 76,094.13

5/13/2010 $ 76,124.69

5/12/2010 $ 77,060.12

5/11/2010 $ 75,354.33

5/10/2010 $ 75,596.38

5/9/2010 $ 75,588.58

5/8/2010 $ 75,588.58

5/7/2010 $ 75,588.58

5/6/2010 $ 73,977.91

5/5/2010 $ 73,053.71

5/4/2010 $ 73,258.58

5/3/2010 $ 71,855.24

5/2/2010 $ 72,566.63

5/1/2010 $ 72,566.63

4/30/2010 $ 72,566.63

Page 43: EstadÃ-stica descriptiva numérica(semana 2)

4/29/2010 $ 72,363.50

4/28/2010 $ 71,598.01

4/27/2010 $ 70,195.10

4/26/2010 $ 70,572.28

4/25/2010 $ 69,893.01

4/24/2010 $ 69,893.01

4/23/2010 $ 69,893.01

4/22/2010 $ 69,889.23

4/21/2010 $ 69,830.72

4/20/2010 $ 69,874.38

4/19/2010 $ 68,644.90

4/18/2010 $ 70,499.70

4/17/2010 $ 70,499.70

4/16/2010 $ 70,499.70

4/15/2010 $ 69,947.59

4/14/2010 $ 70,345.08

4/13/2010 $ 69,390.89

4/12/2010 $ 70,074.77

4/11/2010 $ 70,006.81

4/10/2010 $ 70,006.81

4/9/2010 $ 70,006.81

4/8/2010 $ 69,022.51

4/7/2010 $ 67,888.76

4/6/2010 $ 67,359.65

4/5/2010 $ 67,233.55

4/4/2010 $ 67,075.33

4/3/2010 $ 67,075.33

4/2/2010 $ 67,075.33

4/1/2010 $ 67,075.33

3/31/2010 $ 67,075.33

3/30/2010 $ 67,285.95

3/29/2010 $ 67,348.68

3/28/2010 $ 66,184.59

3/27/2010 $ 66,184.59

3/26/2010 $ 66,184.59

3/25/2010 $ 65,930.48

3/24/2010 $ 65,399.93

3/23/2010 $ 65,803.44

3/22/2010 $ 66,815.03

3/21/2010 $ 66,815.03

3/20/2010 $ 66,815.03

3/19/2010 $ 66,815.03

3/18/2010 $ 66,638.56

Page 44: EstadÃ-stica descriptiva numérica(semana 2)

3/17/2010 $ 67,239.87

3/16/2010 $ 66,295.60

3/15/2010 $ 65,510.82

3/14/2010 $ 66,449.19

3/13/2010 $ 66,449.19

3/12/2010 $ 66,449.19

3/11/2010 $ 65,458.22

3/10/2010 $ 66,773.45

3/9/2010 $ 66,511.16

3/8/2010 $ 67,622.30

3/7/2010 $ 68,607.69

3/6/2010 $ 68,607.69

3/5/2010 $ 68,607.69

3/4/2010 $ 68,258.69

3/3/2010 $ 67,526.74

3/2/2010 $ 66,952.99

3/1/2010 $ 67,674.50

2/28/2010 $ 67,723.65

2/27/2010 $ 67,723.65

2/26/2010 $ 67,723.65

2/25/2010 $ 66,184.65

2/24/2010 $ 65,946.25

2/23/2010 $ 66,748.22

2/22/2010 $ 67,704.48

2/21/2010 $ 67,005.73

2/20/2010 $ 67,005.73

2/19/2010 $ 67,005.73

2/18/2010 $ 66,840.43

2/17/2010 $ 67,506.16

2/16/2010 $ 67,713.47

2/15/2010 $ 66,757.19

2/14/2010 $ 65,693.43

2/13/2010 $ 65,693.43

2/12/2010 $ 65,693.43

2/11/2010 $ 66,494.76

2/10/2010 $ 66,800.26

2/9/2010 $ 67,083.01

2/8/2010 $ 66,986.25

2/7/2010 $ 65,447.23

2/6/2010 $ 65,447.23

2/5/2010 $ 65,447.23

2/4/2010 $ 67,945.72

2/3/2010 $ 68,718.25

Page 45: EstadÃ-stica descriptiva numérica(semana 2)

2/2/2010 $ 68,884.23

2/1/2010 $ 67,234.17

1/31/2010 $ 67,583.53

1/30/2010 $ 67,583.53

1/29/2010 $ 67,583.53

1/28/2010 $ 68,037.15

1/27/2010 $ 67,680.86

1/26/2010 $ 67,083.11

1/25/2010 $ 68,558.73

1/24/2010 $ 67,612.38

1/23/2010 $ 67,612.38

1/22/2010 $ 67,612.38

1/21/2010 $ 67,974.48

1/20/2010 $ 69,288.68

1/19/2010 $ 69,936.09

1/18/2010 $ 70,044.01

1/17/2010 $ 70,051.56

1/16/2010 $ 70,051.56

1/15/2010 $ 70,051.56

1/14/2010 $ 70,095.25

1/13/2010 $ 69,575.99

1/12/2010 $ 71,122.79

1/11/2010 $ 69,239.67

1/10/2010 $ 69,239.67

1/9/2010 $ 69,239.67

1/8/2010 $ 69,239.67

1/7/2010 $ 69,874.59

1/6/2010 $ 70,276.07

1/5/2010 $ 71,294.51

1/4/2010 $ 71,321.50

1/3/2010 $ 70,075.33

1/2/2010 $ 70,075.33

1/1/2010 $ 70,075.33

Page 46: EstadÃ-stica descriptiva numérica(semana 2)

Calcule las medidas de tendencia central: media, mediana y moda.Calcule las medidas de dispersión: rango, varianza y desviación estándar.Calcule el coeficiente de variabilidad (CV=desvest / media).


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