On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.366, 0.534]], "scale": [6.0, 2678.571428571428], "axisOpacity": 0.5, "axisArrows": "->", "gridOpacity": 0.15, "gridStep": [100, 0.005], "tickStep": [1, 1], "labelStep": [1, 10], "xLabel": "N\u00b0 d'\u00e9chantillon", "yLabel": "Fr\u00e9quences"}, "label": [[[0.20000000000000018, 0.37], "0,37", "left", {"font-size": 13}], [[0.20000000000000018, 0.38], "0,38", "left", {"font-size": 13}]], "path": [[[[0, 0.45], [100, 0.45]]], [[[1, 0.46815199999999996], [1, 0.471848]], {"stroke": "red"}], [[[0.29999999999999993, 0.47], [1.7000000000000002, 0.47]], {"stroke": "red"}], [[[2, 0.454052], [2, 0.45774800000000004]], {"stroke": "red"}], [[[1.2999999999999998, 0.4559], [2.7, 0.4559]], {"stroke": "red"}], [[[3, 0.439752], [3, 0.443448]], {"stroke": "red"}], [[[2.3, 0.4416], [3.7, 0.4416]], {"stroke": "red"}], [[[4, 0.44845199999999996], [4, 0.452148]], {"stroke": "red"}], [[[3.3, 0.4503], [4.7, 0.4503]], {"stroke": "red"}], [[[5, 0.450252], [5, 0.453948]], {"stroke": "red"}], [[[4.3, 0.4521], [5.7, 0.4521]], {"stroke": "red"}], [[[6, 0.425152], [6, 0.428848]], {"stroke": "red"}], [[[5.3, 0.427], [6.7, 0.427]], {"stroke": "red"}], [[[7, 0.434152], [7, 0.437848]], {"stroke": "red"}], [[[6.3, 0.436], [7.7, 0.436]], {"stroke": "red"}], [[[8, 0.438052], [8, 0.44174800000000003]], {"stroke": "red"}], [[[7.3, 0.4399], [8.7, 0.4399]], {"stroke": "red"}], [[[9, 0.445652], [9, 0.449348]], {"stroke": "red"}], [[[8.3, 0.4475], [9.7, 0.4475]], {"stroke": "red"}], [[[10, 0.446252], [10, 0.449948]], {"stroke": "red"}], [[[9.3, 0.4481], [10.7, 0.4481]], {"stroke": "red"}], [[[11, 0.461152], [11, 0.46484800000000004]], {"stroke": "red"}], [[[10.3, 0.463], [11.7, 0.463]], {"stroke": "red"}], [[[12, 0.453152], [12, 0.45684800000000003]], {"stroke": "red"}], [[[11.3, 0.455], [12.7, 0.455]], {"stroke": "red"}], [[[13, 0.45445199999999997], [13, 0.458148]], {"stroke": "red"}], [[[12.3, 0.4563], [13.7, 0.4563]], {"stroke": "red"}], [[[14, 0.473752], [14, 0.47744800000000004]], {"stroke": "red"}], [[[13.3, 0.4756], [14.7, 0.4756]], {"stroke": "red"}], [[[15, 0.44195199999999996], [15, 0.445648]], {"stroke": "red"}], [[[14.3, 0.4438], [15.7, 0.4438]], {"stroke": "red"}], [[[16, 0.45695199999999997], [16, 0.460648]], {"stroke": "red"}], [[[15.3, 0.4588], [16.7, 0.4588]], {"stroke": "red"}], [[[17, 0.443552], [17, 0.44724800000000003]], {"stroke": "red"}], [[[16.3, 0.4454], [17.7, 0.4454]], {"stroke": "red"}], [[[18, 0.46255199999999996], [18, 0.466248]], {"stroke": "red"}], [[[17.3, 0.4644], [18.7, 0.4644]], {"stroke": "red"}], [[[19, 0.455852], [19, 0.459548]], {"stroke": "red"}], [[[18.3, 0.4577], [19.7, 0.4577]], {"stroke": "red"}], [[[20, 0.45445199999999997], [20, 0.458148]], {"stroke": "red"}], [[[19.3, 0.4563], [20.7, 0.4563]], {"stroke": "red"}], [[[21, 0.460452], [21, 0.464148]], {"stroke": "red"}], [[[20.3, 0.4623], [21.7, 0.4623]], {"stroke": "red"}], [[[22, 0.451052], [22, 0.45474800000000004]], {"stroke": "red"}], [[[21.3, 0.4529], [22.7, 0.4529]], {"stroke": "red"}], [[[23, 0.46155199999999996], [23, 0.465248]], {"stroke": "red"}], [[[22.3, 0.4634], [23.7, 0.4634]], {"stroke": "red"}], [[[24, 0.445052], [24, 0.44874800000000004]], {"stroke": "red"}], [[[23.3, 0.4469], [24.7, 0.4469]], {"stroke": "red"}], [[[25, 0.438152], [25, 0.441848]], {"stroke": "red"}], [[[24.3, 0.44], [25.7, 0.44]], {"stroke": "red"}], [[[26, 0.43275199999999997], [26, 0.436448]], {"stroke": "red"}], [[[25.3, 0.4346], [26.7, 0.4346]], {"stroke": "red"}], [[[27, 0.457752], [27, 0.461448]], {"stroke": "red"}], [[[26.3, 0.4596], [27.7, 0.4596]], {"stroke": "red"}], [[[28, 0.444052], [28, 0.44774800000000003]], {"stroke": "red"}], [[[27.3, 0.4459], [28.7, 0.4459]], {"stroke": "red"}], [[[29, 0.430452], [29, 0.43414800000000003]], {"stroke": "red"}], [[[28.3, 0.4323], [29.7, 0.4323]], {"stroke": "red"}], [[[30, 0.44735199999999997], [30, 0.451048]], {"stroke": "red"}], [[[29.3, 0.4492], [30.7, 0.4492]], {"stroke": "red"}], [[[31, 0.450852], [31, 0.454548]], {"stroke": "red"}], [[[30.3, 0.4527], [31.7, 0.4527]], {"stroke": "red"}], [[[32, 0.439952], [32, 0.44364800000000004]], {"stroke": "red"}], [[[31.3, 0.4418], [32.7, 0.4418]], {"stroke": "red"}], [[[33, 0.44645199999999996], [33, 0.450148]], {"stroke": "red"}], [[[32.3, 0.4483], [33.7, 0.4483]], {"stroke": "red"}], [[[34, 0.440952], [34, 0.44464800000000004]], {"stroke": "red"}], [[[33.3, 0.4428], [34.7, 0.4428]], {"stroke": "red"}], [[[35, 0.463352], [35, 0.467048]], {"stroke": "red"}], [[[34.3, 0.4652], [35.7, 0.4652]], {"stroke": "red"}], [[[36, 0.451052], [36, 0.45474800000000004]], {"stroke": "red"}], [[[35.3, 0.4529], [36.7, 0.4529]], {"stroke": "red"}], [[[37, 0.458352], [37, 0.462048]], {"stroke": "red"}], [[[36.3, 0.4602], [37.7, 0.4602]], {"stroke": "red"}], [[[38, 0.444052], [38, 0.44774800000000003]], {"stroke": "red"}], [[[37.3, 0.4459], [38.7, 0.4459]], {"stroke": "red"}], [[[39, 0.434952], [39, 0.43864800000000004]], {"stroke": "red"}], [[[38.3, 0.4368], [39.7, 0.4368]], {"stroke": "red"}], [[[40, 0.443552], [40, 0.44724800000000003]], {"stroke": "red"}], [[[39.3, 0.4454], [40.7, 0.4454]], {"stroke": "red"}], [[[41, 0.452652], [41, 0.45634800000000003]], {"stroke": "red"}], [[[40.3, 0.4545], [41.7, 0.4545]], {"stroke": "red"}], [[[42, 0.445752], [42, 0.449448]], {"stroke": "red"}], [[[41.3, 0.4476], [42.7, 0.4476]], {"stroke": "red"}], [[[43, 0.44485199999999997], [43, 0.448548]], {"stroke": "red"}], [[[42.3, 0.4467], [43.7, 0.4467]], {"stroke": "red"}], [[[44, 0.458652], [44, 0.46234800000000004]], {"stroke": "red"}], [[[43.3, 0.4605], [44.7, 0.4605]], {"stroke": "red"}], [[[45, 0.446652], [45, 0.450348]], {"stroke": "red"}], [[[44.3, 0.4485], [45.7, 0.4485]], {"stroke": "red"}], [[[46, 0.456252], [46, 0.459948]], {"stroke": "red"}], [[[45.3, 0.4581], [46.7, 0.4581]], {"stroke": "red"}], [[[47, 0.426552], [47, 0.430248]], {"stroke": "red"}], [[[46.3, 0.4284], [47.7, 0.4284]], {"stroke": "red"}], [[[48, 0.434552], [48, 0.438248]], {"stroke": "red"}], [[[47.3, 0.4364], [48.7, 0.4364]], {"stroke": "red"}], [[[49, 0.461752], [49, 0.46544800000000003]], {"stroke": "red"}], [[[48.3, 0.4636], [49.7, 0.4636]], {"stroke": "red"}], [[[50, 0.432652], [50, 0.436348]], {"stroke": "red"}], [[[49.3, 0.4345], [50.7, 0.4345]], {"stroke": "red"}], [[[51, 0.47615199999999996], [51, 0.479848]], {"stroke": "red"}], [[[50.3, 0.478], [51.7, 0.478]], {"stroke": "red"}], [[[52, 0.45095199999999996], [52, 0.454648]], {"stroke": "red"}], [[[51.3, 0.4528], [52.7, 0.4528]], {"stroke": "red"}], [[[53, 0.45595199999999997], [53, 0.459648]], {"stroke": "red"}], [[[52.3, 0.4578], [53.7, 0.4578]], {"stroke": "red"}], [[[54, 0.469752], [54, 0.47344800000000004]], {"stroke": "red"}], [[[53.3, 0.4716], [54.7, 0.4716]], {"stroke": "red"}], [[[55, 0.44285199999999997], [55, 0.446548]], {"stroke": "red"}], [[[54.3, 0.4447], [55.7, 0.4447]], {"stroke": "red"}], [[[56, 0.456252], [56, 0.459948]], {"stroke": "red"}], [[[55.3, 0.4581], [56.7, 0.4581]], {"stroke": "red"}], [[[57, 0.47815199999999997], [57, 0.481848]], {"stroke": "red"}], [[[56.3, 0.48], [57.7, 0.48]], {"stroke": "red"}], [[[58, 0.462452], [58, 0.466148]], {"stroke": "red"}], [[[57.3, 0.4643], [58.7, 0.4643]], {"stroke": "red"}], [[[59, 0.43935199999999996], [59, 0.443048]], {"stroke": "red"}], [[[58.3, 0.4412], [59.7, 0.4412]], {"stroke": "red"}], [[[60, 0.470252], [60, 0.47394800000000004]], {"stroke": "red"}], [[[59.3, 0.4721], [60.7, 0.4721]], {"stroke": "red"}], [[[61, 0.422352], [61, 0.42604800000000004]], {"stroke": "red"}], [[[60.3, 0.4242], [61.7, 0.4242]], {"stroke": "red"}], [[[62, 0.446052], [62, 0.44974800000000004]], {"stroke": "red"}], [[[61.3, 0.4479], [62.7, 0.4479]], {"stroke": "red"}], [[[63, 0.444552], [63, 0.44824800000000004]], {"stroke": "red"}], [[[62.3, 0.4464], [63.7, 0.4464]], {"stroke": "red"}], [[[64, 0.468852], [64, 0.472548]], {"stroke": "red"}], [[[63.3, 0.4707], [64.7, 0.4707]], {"stroke": "red"}], [[[65, 0.45495199999999997], [65, 0.458648]], {"stroke": "red"}], [[[64.3, 0.4568], [65.7, 0.4568]], {"stroke": "red"}], [[[66, 0.43375199999999997], [66, 0.437448]], {"stroke": "red"}], [[[65.3, 0.4356], [66.7, 0.4356]], {"stroke": "red"}], [[[67, 0.42175199999999996], [67, 0.425448]], {"stroke": "red"}], [[[66.3, 0.4236], [67.7, 0.4236]], {"stroke": "red"}], [[[68, 0.435052], [68, 0.438748]], {"stroke": "red"}], [[[67.3, 0.4369], [68.7, 0.4369]], {"stroke": "red"}], [[[69, 0.435052], [69, 0.438748]], {"stroke": "red"}], [[[68.3, 0.4369], [69.7, 0.4369]], {"stroke": "red"}], [[[70, 0.41975199999999996], [70, 0.423448]], {"stroke": "red"}], [[[69.3, 0.4216], [70.7, 0.4216]], {"stroke": "red"}], [[[71, 0.446652], [71, 0.450348]], {"stroke": "red"}], [[[70.3, 0.4485], [71.7, 0.4485]], {"stroke": "red"}], [[[72, 0.47005199999999997], [72, 0.473748]], {"stroke": "red"}], [[[71.3, 0.4719], [72.7, 0.4719]], {"stroke": "red"}], [[[73, 0.441152], [73, 0.444848]], {"stroke": "red"}], [[[72.3, 0.443], [73.7, 0.443]], {"stroke": "red"}], [[[74, 0.423452], [74, 0.427148]], {"stroke": "red"}], [[[73.3, 0.4253], [74.7, 0.4253]], {"stroke": "red"}], [[[75, 0.461152], [75, 0.46484800000000004]], {"stroke": "red"}], [[[74.3, 0.463], [75.7, 0.463]], {"stroke": "red"}], [[[76, 0.465952], [76, 0.469648]], {"stroke": "red"}], [[[75.3, 0.4678], [76.7, 0.4678]], {"stroke": "red"}], [[[77, 0.435452], [77, 0.43914800000000004]], {"stroke": "red"}], [[[76.3, 0.4373], [77.7, 0.4373]], {"stroke": "red"}], [[[78, 0.452552], [78, 0.45624800000000004]], {"stroke": "red"}], [[[77.3, 0.4544], [78.7, 0.4544]], {"stroke": "red"}], [[[79, 0.456652], [79, 0.46034800000000003]], {"stroke": "red"}], [[[78.3, 0.4585], [79.7, 0.4585]], {"stroke": "red"}], [[[80, 0.444252], [80, 0.447948]], {"stroke": "red"}], [[[79.3, 0.4461], [80.7, 0.4461]], {"stroke": "red"}], [[[81, 0.475352], [81, 0.47904800000000003]], {"stroke": "red"}], [[[80.3, 0.4772], [81.7, 0.4772]], {"stroke": "red"}], [[[82, 0.449852], [82, 0.453548]], {"stroke": "red"}], [[[81.3, 0.4517], [82.7, 0.4517]], {"stroke": "red"}], [[[83, 0.424652], [83, 0.428348]], {"stroke": "red"}], [[[82.3, 0.4265], [83.7, 0.4265]], {"stroke": "red"}], [[[84, 0.453152], [84, 0.45684800000000003]], {"stroke": "red"}], [[[83.3, 0.455], [84.7, 0.455]], {"stroke": "red"}], [[[85, 0.446152], [85, 0.449848]], {"stroke": "red"}], [[[84.3, 0.448], [85.7, 0.448]], {"stroke": "red"}], [[[86, 0.451852], [86, 0.455548]], {"stroke": "red"}], [[[85.3, 0.4537], [86.7, 0.4537]], {"stroke": "red"}], [[[87, 0.441252], [87, 0.444948]], {"stroke": "red"}], [[[86.3, 0.4431], [87.7, 0.4431]], {"stroke": "red"}], [[[88, 0.459252], [88, 0.462948]], {"stroke": "red"}], [[[87.3, 0.4611], [88.7, 0.4611]], {"stroke": "red"}], [[[89, 0.44635199999999997], [89, 0.450048]], {"stroke": "red"}], [[[88.3, 0.4482], [89.7, 0.4482]], {"stroke": "red"}], [[[90, 0.46305199999999996], [90, 0.466748]], {"stroke": "red"}], [[[89.3, 0.4649], [90.7, 0.4649]], {"stroke": "red"}], [[[91, 0.464252], [91, 0.46794800000000003]], {"stroke": "red"}], [[[90.3, 0.4661], [91.7, 0.4661]], {"stroke": "red"}], [[[92, 0.41815199999999997], [92, 0.421848]], {"stroke": "red"}], [[[91.3, 0.42], [92.7, 0.42]], {"stroke": "red"}], [[[93, 0.45555199999999996], [93, 0.459248]], {"stroke": "red"}], [[[92.3, 0.4574], [93.7, 0.4574]], {"stroke": "red"}], [[[94, 0.429452], [94, 0.43314800000000003]], {"stroke": "red"}], [[[93.3, 0.4313], [94.7, 0.4313]], {"stroke": "red"}], [[[95, 0.474852], [95, 0.47854800000000003]], {"stroke": "red"}], [[[94.3, 0.4767], [95.7, 0.4767]], {"stroke": "red"}], [[[96, 0.41815199999999997], [96, 0.421848]], {"stroke": "red"}], [[[95.3, 0.42], [96.7, 0.42]], {"stroke": "red"}], [[[97, 0.460652], [97, 0.46434800000000004]], {"stroke": "red"}], [[[96.3, 0.4625], [97.7, 0.4625]], {"stroke": "red"}], [[[98, 0.463252], [98, 0.46694800000000003]], {"stroke": "red"}], [[[97.3, 0.4651], [98.7, 0.4651]], {"stroke": "red"}], [[[99, 0.443052], [99, 0.44674800000000003]], {"stroke": "red"}], [[[98.3, 0.4449], [99.7, 0.4449]], {"stroke": "red"}], [[[100, 0.426152], [100, 0.429848]], {"stroke": "red"}], [[[99.3, 0.428], [100.7, 0.428]], {"stroke": "red"}]]}
Déduire de ce graphique une valeur approchée de la taille \( N \) des échantillons puis choisir
la valeur exacte la plus proche parmis les choix suivant.