Connexion requise
Vous devez avoir un compte pour accéder à cet exercice.
On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.416, 0.584]], "scale": [6.0, 2678.571428571429], "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, 0.42], "0\\mbox{,}42", "left", {"font-size": 13}], [[0.20000000000000018, 0.43], "0\\mbox{,}43", "left", {"font-size": 13}]], "path": [[[[0, 0.5], [100, 0.5]]], [[[1, 0.49375199999999997], [1, 0.497448]], {"stroke": "red"}], [[[0.29999999999999993, 0.4956], [1.7000000000000002, 0.4956]], {"stroke": "red"}], [[[2, 0.513752], [2, 0.5174479999999999]], {"stroke": "red"}], [[[1.2999999999999998, 0.5156], [2.7, 0.5156]], {"stroke": "red"}], [[[3, 0.48115199999999997], [3, 0.484848]], {"stroke": "red"}], [[[2.3, 0.483], [3.7, 0.483]], {"stroke": "red"}], [[[4, 0.5028520000000001], [4, 0.506548]], {"stroke": "red"}], [[[3.3, 0.5047], [4.7, 0.5047]], {"stroke": "red"}], [[[5, 0.46815199999999996], [5, 0.471848]], {"stroke": "red"}], [[[4.3, 0.47], [5.7, 0.47]], {"stroke": "red"}], [[[6, 0.49835199999999996], [6, 0.5020479999999999]], {"stroke": "red"}], [[[5.3, 0.5002], [6.7, 0.5002]], {"stroke": "red"}], [[[7, 0.5281520000000001], [7, 0.531848]], {"stroke": "red"}], [[[6.3, 0.53], [7.7, 0.53]], {"stroke": "red"}], [[[8, 0.484352], [8, 0.48804800000000004]], {"stroke": "red"}], [[[7.3, 0.4862], [8.7, 0.4862]], {"stroke": "red"}], [[[9, 0.490452], [9, 0.49414800000000003]], {"stroke": "red"}], [[[8.3, 0.4923], [9.7, 0.4923]], {"stroke": "red"}], [[[10, 0.48265199999999997], [10, 0.486348]], {"stroke": "red"}], [[[9.3, 0.4845], [10.7, 0.4845]], {"stroke": "red"}], [[[11, 0.506352], [11, 0.510048]], {"stroke": "red"}], [[[10.3, 0.5082], [11.7, 0.5082]], {"stroke": "red"}], [[[12, 0.495552], [12, 0.499248]], {"stroke": "red"}], [[[11.3, 0.4974], [12.7, 0.4974]], {"stroke": "red"}], [[[13, 0.484352], [13, 0.48804800000000004]], {"stroke": "red"}], [[[12.3, 0.4862], [13.7, 0.4862]], {"stroke": "red"}], [[[14, 0.504252], [14, 0.507948]], {"stroke": "red"}], [[[13.3, 0.5061], [14.7, 0.5061]], {"stroke": "red"}], [[[15, 0.483352], [15, 0.48704800000000004]], {"stroke": "red"}], [[[14.3, 0.4852], [15.7, 0.4852]], {"stroke": "red"}], [[[16, 0.499252], [16, 0.502948]], {"stroke": "red"}], [[[15.3, 0.5011], [16.7, 0.5011]], {"stroke": "red"}], [[[17, 0.517652], [17, 0.5213479999999999]], {"stroke": "red"}], [[[16.3, 0.5195], [17.7, 0.5195]], {"stroke": "red"}], [[[18, 0.5281520000000001], [18, 0.531848]], {"stroke": "red"}], [[[17.3, 0.53], [18.7, 0.53]], {"stroke": "red"}], [[[19, 0.46815199999999996], [19, 0.471848]], {"stroke": "red"}], [[[18.3, 0.47], [19.7, 0.47]], {"stroke": "red"}], [[[20, 0.514152], [20, 0.517848]], {"stroke": "red"}], [[[19.3, 0.516], [20.7, 0.516]], {"stroke": "red"}], [[[21, 0.486452], [21, 0.49014800000000003]], {"stroke": "red"}], [[[20.3, 0.4883], [21.7, 0.4883]], {"stroke": "red"}], [[[22, 0.482852], [22, 0.48654800000000004]], {"stroke": "red"}], [[[21.3, 0.4847], [22.7, 0.4847]], {"stroke": "red"}], [[[23, 0.486052], [23, 0.489748]], {"stroke": "red"}], [[[22.3, 0.4879], [23.7, 0.4879]], {"stroke": "red"}], [[[24, 0.514152], [24, 0.517848]], {"stroke": "red"}], [[[23.3, 0.516], [24.7, 0.516]], {"stroke": "red"}], [[[25, 0.49325199999999997], [25, 0.496948]], {"stroke": "red"}], [[[24.3, 0.4951], [25.7, 0.4951]], {"stroke": "red"}], [[[26, 0.497752], [26, 0.501448]], {"stroke": "red"}], [[[25.3, 0.4996], [26.7, 0.4996]], {"stroke": "red"}], [[[27, 0.485352], [27, 0.48904800000000004]], {"stroke": "red"}], [[[26.3, 0.4872], [27.7, 0.4872]], {"stroke": "red"}], [[[28, 0.49675199999999997], [28, 0.500448]], {"stroke": "red"}], [[[27.3, 0.4986], [28.7, 0.4986]], {"stroke": "red"}], [[[29, 0.527752], [29, 0.5314479999999999]], {"stroke": "red"}], [[[28.3, 0.5296], [29.7, 0.5296]], {"stroke": "red"}], [[[30, 0.510652], [30, 0.5143479999999999]], {"stroke": "red"}], [[[29.3, 0.5125], [30.7, 0.5125]], {"stroke": "red"}], [[[31, 0.518352], [31, 0.522048]], {"stroke": "red"}], [[[30.3, 0.5202], [31.7, 0.5202]], {"stroke": "red"}], [[[32, 0.474352], [32, 0.47804800000000003]], {"stroke": "red"}], [[[31.3, 0.4762], [32.7, 0.4762]], {"stroke": "red"}], [[[33, 0.46815199999999996], [33, 0.471848]], {"stroke": "red"}], [[[32.3, 0.47], [33.7, 0.47]], {"stroke": "red"}], [[[34, 0.490552], [34, 0.494248]], {"stroke": "red"}], [[[33.3, 0.4924], [34.7, 0.4924]], {"stroke": "red"}], [[[35, 0.474352], [35, 0.47804800000000003]], {"stroke": "red"}], [[[34.3, 0.4762], [35.7, 0.4762]], {"stroke": "red"}], [[[36, 0.49075199999999997], [36, 0.494448]], {"stroke": "red"}], [[[35.3, 0.4926], [36.7, 0.4926]], {"stroke": "red"}], [[[37, 0.49475199999999997], [37, 0.498448]], {"stroke": "red"}], [[[36.3, 0.4966], [37.7, 0.4966]], {"stroke": "red"}], [[[38, 0.5188520000000001], [38, 0.522548]], {"stroke": "red"}], [[[37.3, 0.5207], [38.7, 0.5207]], {"stroke": "red"}], [[[39, 0.505152], [39, 0.508848]], {"stroke": "red"}], [[[38.3, 0.507], [39.7, 0.507]], {"stroke": "red"}], [[[40, 0.473352], [40, 0.477048]], {"stroke": "red"}], [[[39.3, 0.4752], [40.7, 0.4752]], {"stroke": "red"}], [[[41, 0.5120520000000001], [41, 0.515748]], {"stroke": "red"}], [[[40.3, 0.5139], [41.7, 0.5139]], {"stroke": "red"}], [[[42, 0.489052], [42, 0.492748]], {"stroke": "red"}], [[[41.3, 0.4909], [42.7, 0.4909]], {"stroke": "red"}], [[[43, 0.511252], [43, 0.514948]], {"stroke": "red"}], [[[42.3, 0.5131], [43.7, 0.5131]], {"stroke": "red"}], [[[44, 0.497552], [44, 0.501248]], {"stroke": "red"}], [[[43.3, 0.4994], [44.7, 0.4994]], {"stroke": "red"}], [[[45, 0.5109520000000001], [45, 0.514648]], {"stroke": "red"}], [[[44.3, 0.5128], [45.7, 0.5128]], {"stroke": "red"}], [[[46, 0.5017520000000001], [46, 0.505448]], {"stroke": "red"}], [[[45.3, 0.5036], [46.7, 0.5036]], {"stroke": "red"}], [[[47, 0.517652], [47, 0.5213479999999999]], {"stroke": "red"}], [[[46.3, 0.5195], [47.7, 0.5195]], {"stroke": "red"}], [[[48, 0.494552], [48, 0.498248]], {"stroke": "red"}], [[[47.3, 0.4964], [48.7, 0.4964]], {"stroke": "red"}], [[[49, 0.491952], [49, 0.49564800000000003]], {"stroke": "red"}], [[[48.3, 0.4938], [49.7, 0.4938]], {"stroke": "red"}], [[[50, 0.47415199999999996], [50, 0.477848]], {"stroke": "red"}], [[[49.3, 0.476], [50.7, 0.476]], {"stroke": "red"}], [[[51, 0.5281520000000001], [51, 0.531848]], {"stroke": "red"}], [[[50.3, 0.53], [51.7, 0.53]], {"stroke": "red"}], [[[52, 0.48675199999999996], [52, 0.490448]], {"stroke": "red"}], [[[51.3, 0.4886], [52.7, 0.4886]], {"stroke": "red"}], [[[53, 0.497152], [53, 0.500848]], {"stroke": "red"}], [[[52.3, 0.499], [53.7, 0.499]], {"stroke": "red"}], [[[54, 0.488152], [54, 0.491848]], {"stroke": "red"}], [[[53.3, 0.49], [54.7, 0.49]], {"stroke": "red"}], [[[55, 0.504152], [55, 0.507848]], {"stroke": "red"}], [[[54.3, 0.506], [55.7, 0.506]], {"stroke": "red"}], [[[56, 0.482452], [56, 0.486148]], {"stroke": "red"}], [[[55.3, 0.4843], [56.7, 0.4843]], {"stroke": "red"}], [[[57, 0.48415199999999997], [57, 0.487848]], {"stroke": "red"}], [[[56.3, 0.486], [57.7, 0.486]], {"stroke": "red"}], [[[58, 0.494452], [58, 0.49814800000000004]], {"stroke": "red"}], [[[57.3, 0.4963], [58.7, 0.4963]], {"stroke": "red"}], [[[59, 0.5150520000000001], [59, 0.518748]], {"stroke": "red"}], [[[58.3, 0.5169], [59.7, 0.5169]], {"stroke": "red"}], [[[60, 0.5281520000000001], [60, 0.531848]], {"stroke": "red"}], [[[59.3, 0.53], [60.7, 0.53]], {"stroke": "red"}], [[[61, 0.5281520000000001], [61, 0.531848]], {"stroke": "red"}], [[[60.3, 0.53], [61.7, 0.53]], {"stroke": "red"}], [[[62, 0.506652], [62, 0.5103479999999999]], {"stroke": "red"}], [[[61.3, 0.5085], [62.7, 0.5085]], {"stroke": "red"}], [[[63, 0.516252], [63, 0.519948]], {"stroke": "red"}], [[[62.3, 0.5181], [63.7, 0.5181]], {"stroke": "red"}], [[[64, 0.5160520000000001], [64, 0.519748]], {"stroke": "red"}], [[[63.3, 0.5179], [64.7, 0.5179]], {"stroke": "red"}], [[[65, 0.498852], [65, 0.502548]], {"stroke": "red"}], [[[64.3, 0.5007], [65.7, 0.5007]], {"stroke": "red"}], [[[66, 0.5058520000000001], [66, 0.509548]], {"stroke": "red"}], [[[65.3, 0.5077], [66.7, 0.5077]], {"stroke": "red"}], [[[67, 0.494652], [67, 0.498348]], {"stroke": "red"}], [[[66.3, 0.4965], [67.7, 0.4965]], {"stroke": "red"}], [[[68, 0.497452], [68, 0.501148]], {"stroke": "red"}], [[[67.3, 0.4993], [68.7, 0.4993]], {"stroke": "red"}], [[[69, 0.515452], [69, 0.5191479999999999]], {"stroke": "red"}], [[[68.3, 0.5173], [69.7, 0.5173]], {"stroke": "red"}], [[[70, 0.49735199999999996], [70, 0.5010479999999999]], {"stroke": "red"}], [[[69.3, 0.4992], [70.7, 0.4992]], {"stroke": "red"}], [[[71, 0.486852], [71, 0.49054800000000004]], {"stroke": "red"}], [[[70.3, 0.4887], [71.7, 0.4887]], {"stroke": "red"}], [[[72, 0.487952], [72, 0.49164800000000003]], {"stroke": "red"}], [[[71.3, 0.4898], [72.7, 0.4898]], {"stroke": "red"}], [[[73, 0.49235199999999996], [73, 0.496048]], {"stroke": "red"}], [[[72.3, 0.4942], [73.7, 0.4942]], {"stroke": "red"}], [[[74, 0.5029520000000001], [74, 0.506648]], {"stroke": "red"}], [[[73.3, 0.5048], [74.7, 0.5048]], {"stroke": "red"}], [[[75, 0.489852], [75, 0.49354800000000004]], {"stroke": "red"}], [[[74.3, 0.4917], [75.7, 0.4917]], {"stroke": "red"}], [[[76, 0.5077520000000001], [76, 0.511448]], {"stroke": "red"}], [[[75.3, 0.5096], [76.7, 0.5096]], {"stroke": "red"}], [[[77, 0.499252], [77, 0.502948]], {"stroke": "red"}], [[[76.3, 0.5011], [77.7, 0.5011]], {"stroke": "red"}], [[[78, 0.48365199999999997], [78, 0.487348]], {"stroke": "red"}], [[[77.3, 0.4855], [78.7, 0.4855]], {"stroke": "red"}], [[[79, 0.491852], [79, 0.49554800000000004]], {"stroke": "red"}], [[[78.3, 0.4937], [79.7, 0.4937]], {"stroke": "red"}], [[[80, 0.516552], [80, 0.5202479999999999]], {"stroke": "red"}], [[[79.3, 0.5184], [80.7, 0.5184]], {"stroke": "red"}], [[[81, 0.507552], [81, 0.5112479999999999]], {"stroke": "red"}], [[[80.3, 0.5094], [81.7, 0.5094]], {"stroke": "red"}], [[[82, 0.468252], [82, 0.47194800000000003]], {"stroke": "red"}], [[[81.3, 0.4701], [82.7, 0.4701]], {"stroke": "red"}], [[[83, 0.472852], [83, 0.476548]], {"stroke": "red"}], [[[82.3, 0.4747], [83.7, 0.4747]], {"stroke": "red"}], [[[84, 0.5281520000000001], [84, 0.531848]], {"stroke": "red"}], [[[83.3, 0.53], [84.7, 0.53]], {"stroke": "red"}], [[[85, 0.481852], [85, 0.48554800000000004]], {"stroke": "red"}], [[[84.3, 0.4837], [85.7, 0.4837]], {"stroke": "red"}], [[[86, 0.507452], [86, 0.5111479999999999]], {"stroke": "red"}], [[[85.3, 0.5093], [86.7, 0.5093]], {"stroke": "red"}], [[[87, 0.5110520000000001], [87, 0.514748]], {"stroke": "red"}], [[[86.3, 0.5129], [87.7, 0.5129]], {"stroke": "red"}], [[[88, 0.5048520000000001], [88, 0.508548]], {"stroke": "red"}], [[[87.3, 0.5067], [88.7, 0.5067]], {"stroke": "red"}], [[[89, 0.49435199999999996], [89, 0.498048]], {"stroke": "red"}], [[[88.3, 0.4962], [89.7, 0.4962]], {"stroke": "red"}], [[[90, 0.475752], [90, 0.47944800000000004]], {"stroke": "red"}], [[[89.3, 0.4776], [90.7, 0.4776]], {"stroke": "red"}], [[[91, 0.5067520000000001], [91, 0.510448]], {"stroke": "red"}], [[[90.3, 0.5086], [91.7, 0.5086]], {"stroke": "red"}], [[[92, 0.49625199999999997], [92, 0.499948]], {"stroke": "red"}], [[[91.3, 0.4981], [92.7, 0.4981]], {"stroke": "red"}], [[[93, 0.493552], [93, 0.497248]], {"stroke": "red"}], [[[92.3, 0.4954], [93.7, 0.4954]], {"stroke": "red"}], [[[94, 0.5281520000000001], [94, 0.531848]], {"stroke": "red"}], [[[93.3, 0.53], [94.7, 0.53]], {"stroke": "red"}], [[[95, 0.519552], [95, 0.5232479999999999]], {"stroke": "red"}], [[[94.3, 0.5214], [95.7, 0.5214]], {"stroke": "red"}], [[[96, 0.485952], [96, 0.489648]], {"stroke": "red"}], [[[95.3, 0.4878], [96.7, 0.4878]], {"stroke": "red"}], [[[97, 0.488552], [97, 0.492248]], {"stroke": "red"}], [[[96.3, 0.4904], [97.7, 0.4904]], {"stroke": "red"}], [[[98, 0.509652], [98, 0.5133479999999999]], {"stroke": "red"}], [[[97.3, 0.5115], [98.7, 0.5115]], {"stroke": "red"}], [[[99, 0.509352], [99, 0.513048]], {"stroke": "red"}], [[[98.3, 0.5112], [99.7, 0.5112]], {"stroke": "red"}], [[[100, 0.502352], [100, 0.5060479999999999]], {"stroke": "red"}], [[[99.3, 0.5042], [100.7, 0.5042]], {"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.
Pour accéder à cet exercice, il faut être connecté.
Aide technique
Tu rencontres un problème technique sur un exercice ?
Tu as remarqué un bug ?
C'est ici qu'il faut le signaler pour que nous puissions t'aider.
Merci d’adopter un langage poli. Sache que ton enseignant a aussi accès à tous les messages que tu nous envoies.