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1,5780 1,6370 1,6440 1,6770 1,6610 1,5780 1,5440 1,5950 1,5720 1,6240 1,5560 1,5640 1,6420 1,6010 1,5700 1,6190 1,6310 1,5880 1,6560 1,5880 1,6250 1,5270 1,6060 1,5350 1,6010 1,6110 1,5980 1,5380 1,6050 1,5220
1,6110 1,5960 1,6210 1,5830 1,6060 1,6000 1,6340 1,5530 1,5100 1,6300 1,5730 1,6380 1,6320 1,5820 1,5760 1,6470 1,6130 1,6210 1,5870 1,6220 1,5500 1,5760 1,6240 1,6300 1,6130 1,5290 1,5270 1,6080 1,6200 1,6510
1,5740 1,5780 1,6000 1,6360 1,5920 1,5930 1,5990 1,6340 1,5770 1,6120 1,6530 1,6220 1,5610 1,6220 1,6180 1,6640 1,6090 1,6000 1,5880 1,6520 1,5690 1,5920 1,5700 1,5470 1,5630 1,6040 1,5610 1,5760 1,6160 1,6300
1,6130 1,5920 1,5550 1,6520 1,5810 1,6410 1,5930 1,6130 1,5690 1,5820 1,6230 1,6410 1,6450 1,6030 1,6420 1,6100 1,6150 1,5910 1,7030 1,6090 1,6460 1,5760 1,6260 1,5820 1,5680 1,6450 1,5510 1,5750 1,6220 1,5630
1,5970 1,5670 1,5710 1,5830 1,5380 1,5410 1,6280 1,6460 1,6210 1,6400 1,5930 1,6260 1,5320 1,5770 1,6480 1,5910 1,6070 1,5700 1,6590 1,5810 1,6320 1,6040 1,6440 1,6110 1,5310 1,5850 1,6390 1,6590 1,5870 1,6290
1,6190 1,5790 1,5580 1,6070 1,5890 1,6680 1,5490 1,6360 1,6550 1,5720 1,5700 1,6380 1,6240 1,5760 1,6390 1,5750 1,6170 1,5750 1,5930 1,5470 1,5500 1,5760 1,5980 1,6520 1,5890 1,6480 1,6280 1,5820 1,6330 1,5420
1,5680 1,6450 1,5990 1,5420 1,6220 1,4980 1,6370 1,6390 1,5440 1,6660 1,6660 1,6100 1,5480 1,5900 1,6550 1,5650 1,6840 1,5900 1,5330 1,5840 1,5650 1,5910 1,6740 1,6150 1,5630 1,6240 1,6360 1,6500 1,5710 1,5940
1,5780 1,6120 1,5980 1,5890 1,5610 1,5980 1,6040 1,6020 1,5710 1,5910 1,5740 1,6130 1,6490 1,6440 1,5720 1,5820 1,6260 1,5960 1,5560 1,6370 1,5610 1,5830 1,6630 1,6810 1,6050 1,5780 1,5980 1,6090 1,6630 1,5820
1,6240 1,5840 1,5830 1,6540 1,6280 1,6030 1,5990 1,5980 1,6980 1,5580 1,5410 1,6520 1,6080 1,6150 1,5890 1,6330 1,5990 1,5520 1,5460 1,6220 1,5670 1,5900 1,6200 1,6040 1,5370 1,5980 1,5900 1,6150 1,5700 1,5860
1,5720 1,6390 1,6000 1,6540 1,5970 1,5980 1,6380 1,6030 1,5630 1,6400 1,6000 1,6450 1,5520 1,5900 1,5820 1,5760 1,5980 1,6010 1,5480 1,5260 1,5530 1,6130 1,6400 1,6060 1,5940 1,5890 1,6270 1,6160 1,6060 1,6190
Clases o categorias int. Reales Marcas de clase Frecuencias
Max= 1,703 Lim. Inferior Lim. Superior Lim. Inferior Lim. Superior xi fi fai
Min= 1,498 1,498 1,517 0,001 1,498 1,518 1,508 0 0
Rango= 0,205 1,518 1,537 0,0005 1,518 1,538 1,528 2 2
NI= 11 1,538 1,557 1,538 1,558 1,548 10 12
Intervalo= 0,020 1,558 1,577 1,558 1,578 1,568 24 36
1,578 1,597 1,578 1,598 1,588 46 82
1,598 1,617 1,598 1,618 1,608 56 138
1,618 1,637 1,618 1,638 1,628 62 200
1,638 1,657 1,638 1,658 1,648 46 246
1,658 1,677 1,658 1,678 1,668 39 285
1,678 1,697 1,678 1,698 1,688 11 296
1,698 1,717 1,698 1,718 1,708 2 300
300
Clases o categorias intervalos aparentes
Frecuencias Medidas de tendencia central y dispersión Histograma de la frecuencia absoluta
fri frai fixi |xi-x|fi (xi-x)2
fi
0 0 0 0 0
0,007 0,007 3,055 0,1643 0,013497245
0,033 0,040 15,475 0,6215 0,038626225
0,080 0,120 37,62 1,0116 0,04263894
0,153 0,273 73,025 1,0189 0,022568635
0,187 0,460 90,02 0,1204 0,00025886
0,207 0,667 100,905 1,1067 0,019754595
0,153 0,820 75,785 1,7411 0,065900635
0,130 0,950 65,0325 2,25615 0,130518278
0,037 0,987 18,5625 0,85635 0,066666848
0,007 1 3,415 0,1957 0,019149245
482,895 9,0927 0,419579505
Media aritmetica= 1,60965
Desviación media= 0,030309
Varianza= 0,001398598
desviación estandar= 0,037397839
0
10
20
30
40
50
60
70
1 2 3 4 5 6 7 8 9 10 11
Gráfica circular con frecuencia relativa
Ojiva con
Frecuencia
relativa acumulada
1
2
3
4
5
6
7
8
9
10
0
0,2
0,4
0,6
0,8
1
1,2
1 2 3 4 5 6 7 8 9 10 11
Series1

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Alan peña histo

  • 1. tiempo de llegada en alberca olimpica 11 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 1,5780 1,6370 1,6440 1,6770 1,6610 1,5780 1,5440 1,5950 1,5720 1,6240 1,5560 1,5640 1,6420 1,6010 1,5700 1,6190 1,6310 1,5880 1,6560 1,5880 1,6250 1,5270 1,6060 1,5350 1,6010 1,6110 1,5980 1,5380 1,6050 1,5220 1,6110 1,5960 1,6210 1,5830 1,6060 1,6000 1,6340 1,5530 1,5100 1,6300 1,5730 1,6380 1,6320 1,5820 1,5760 1,6470 1,6130 1,6210 1,5870 1,6220 1,5500 1,5760 1,6240 1,6300 1,6130 1,5290 1,5270 1,6080 1,6200 1,6510 1,5740 1,5780 1,6000 1,6360 1,5920 1,5930 1,5990 1,6340 1,5770 1,6120 1,6530 1,6220 1,5610 1,6220 1,6180 1,6640 1,6090 1,6000 1,5880 1,6520 1,5690 1,5920 1,5700 1,5470 1,5630 1,6040 1,5610 1,5760 1,6160 1,6300 1,6130 1,5920 1,5550 1,6520 1,5810 1,6410 1,5930 1,6130 1,5690 1,5820 1,6230 1,6410 1,6450 1,6030 1,6420 1,6100 1,6150 1,5910 1,7030 1,6090 1,6460 1,5760 1,6260 1,5820 1,5680 1,6450 1,5510 1,5750 1,6220 1,5630 1,5970 1,5670 1,5710 1,5830 1,5380 1,5410 1,6280 1,6460 1,6210 1,6400 1,5930 1,6260 1,5320 1,5770 1,6480 1,5910 1,6070 1,5700 1,6590 1,5810 1,6320 1,6040 1,6440 1,6110 1,5310 1,5850 1,6390 1,6590 1,5870 1,6290 1,6190 1,5790 1,5580 1,6070 1,5890 1,6680 1,5490 1,6360 1,6550 1,5720 1,5700 1,6380 1,6240 1,5760 1,6390 1,5750 1,6170 1,5750 1,5930 1,5470 1,5500 1,5760 1,5980 1,6520 1,5890 1,6480 1,6280 1,5820 1,6330 1,5420 1,5680 1,6450 1,5990 1,5420 1,6220 1,4980 1,6370 1,6390 1,5440 1,6660 1,6660 1,6100 1,5480 1,5900 1,6550 1,5650 1,6840 1,5900 1,5330 1,5840 1,5650 1,5910 1,6740 1,6150 1,5630 1,6240 1,6360 1,6500 1,5710 1,5940 1,5780 1,6120 1,5980 1,5890 1,5610 1,5980 1,6040 1,6020 1,5710 1,5910 1,5740 1,6130 1,6490 1,6440 1,5720 1,5820 1,6260 1,5960 1,5560 1,6370 1,5610 1,5830 1,6630 1,6810 1,6050 1,5780 1,5980 1,6090 1,6630 1,5820 1,6240 1,5840 1,5830 1,6540 1,6280 1,6030 1,5990 1,5980 1,6980 1,5580 1,5410 1,6520 1,6080 1,6150 1,5890 1,6330 1,5990 1,5520 1,5460 1,6220 1,5670 1,5900 1,6200 1,6040 1,5370 1,5980 1,5900 1,6150 1,5700 1,5860 1,5720 1,6390 1,6000 1,6540 1,5970 1,5980 1,6380 1,6030 1,5630 1,6400 1,6000 1,6450 1,5520 1,5900 1,5820 1,5760 1,5980 1,6010 1,5480 1,5260 1,5530 1,6130 1,6400 1,6060 1,5940 1,5890 1,6270 1,6160 1,6060 1,6190
  • 2. Clases o categorias int. Reales Marcas de clase Frecuencias Max= 1,703 Lim. Inferior Lim. Superior Lim. Inferior Lim. Superior xi fi fai Min= 1,498 1,498 1,517 0,001 1,498 1,518 1,508 0 0 Rango= 0,205 1,518 1,537 0,0005 1,518 1,538 1,528 2 2 NI= 11 1,538 1,557 1,538 1,558 1,548 10 12 Intervalo= 0,020 1,558 1,577 1,558 1,578 1,568 24 36 1,578 1,597 1,578 1,598 1,588 46 82 1,598 1,617 1,598 1,618 1,608 56 138 1,618 1,637 1,618 1,638 1,628 62 200 1,638 1,657 1,638 1,658 1,648 46 246 1,658 1,677 1,658 1,678 1,668 39 285 1,678 1,697 1,678 1,698 1,688 11 296 1,698 1,717 1,698 1,718 1,708 2 300 300 Clases o categorias intervalos aparentes
  • 3. Frecuencias Medidas de tendencia central y dispersión Histograma de la frecuencia absoluta fri frai fixi |xi-x|fi (xi-x)2 fi 0 0 0 0 0 0,007 0,007 3,055 0,1643 0,013497245 0,033 0,040 15,475 0,6215 0,038626225 0,080 0,120 37,62 1,0116 0,04263894 0,153 0,273 73,025 1,0189 0,022568635 0,187 0,460 90,02 0,1204 0,00025886 0,207 0,667 100,905 1,1067 0,019754595 0,153 0,820 75,785 1,7411 0,065900635 0,130 0,950 65,0325 2,25615 0,130518278 0,037 0,987 18,5625 0,85635 0,066666848 0,007 1 3,415 0,1957 0,019149245 482,895 9,0927 0,419579505 Media aritmetica= 1,60965 Desviación media= 0,030309 Varianza= 0,001398598 desviación estandar= 0,037397839 0 10 20 30 40 50 60 70 1 2 3 4 5 6 7 8 9 10 11
  • 4. Gráfica circular con frecuencia relativa Ojiva con Frecuencia relativa acumulada 1 2 3 4 5 6 7 8 9 10 0 0,2 0,4 0,6 0,8 1 1,2 1 2 3 4 5 6 7 8 9 10 11 Series1