On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.51, 0.71]], "scale": [6.0, 2250.0000000000005], "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, 0.51], "0,51", "left", {"font-size": 13}], [[0.20000000000000018, 0.52], "0,52", "left", {"font-size": 13}]], "path": [[[[0, 0.61], [100, 0.61]]], [[[1, 0.6244000000000001], [1, 0.6288]], {"stroke": "red"}], [[[0.29999999999999993, 0.6266], [1.7000000000000002, 0.6266]], {"stroke": "red"}], [[[2, 0.5839], [2, 0.5882999999999999]], {"stroke": "red"}], [[[1.2999999999999998, 0.5861], [2.7, 0.5861]], {"stroke": "red"}], [[[3, 0.6466000000000001], [3, 0.651]], {"stroke": "red"}], [[[2.3, 0.6488], [3.7, 0.6488]], {"stroke": "red"}], [[[4, 0.5767], [4, 0.5811]], {"stroke": "red"}], [[[3.3, 0.5789], [4.7, 0.5789]], {"stroke": "red"}], [[[5, 0.6073000000000001], [5, 0.6117]], {"stroke": "red"}], [[[4.3, 0.6095], [5.7, 0.6095]], {"stroke": "red"}], [[[6, 0.5979], [6, 0.6023]], {"stroke": "red"}], [[[5.3, 0.6001], [6.7, 0.6001]], {"stroke": "red"}], [[[7, 0.6324000000000001], [7, 0.6368]], {"stroke": "red"}], [[[6.3, 0.6346], [7.7, 0.6346]], {"stroke": "red"}], [[[8, 0.6174000000000001], [8, 0.6218]], {"stroke": "red"}], [[[7.3, 0.6196], [8.7, 0.6196]], {"stroke": "red"}], [[[9, 0.6235], [9, 0.6279]], {"stroke": "red"}], [[[8.3, 0.6257], [9.7, 0.6257]], {"stroke": "red"}], [[[10, 0.5989], [10, 0.6033]], {"stroke": "red"}], [[[9.3, 0.6011], [10.7, 0.6011]], {"stroke": "red"}], [[[11, 0.5873], [11, 0.5917]], {"stroke": "red"}], [[[10.3, 0.5895], [11.7, 0.5895]], {"stroke": "red"}], [[[12, 0.5961000000000001], [12, 0.6005]], {"stroke": "red"}], [[[11.3, 0.5983], [12.7, 0.5983]], {"stroke": "red"}], [[[13, 0.5760000000000001], [13, 0.5804]], {"stroke": "red"}], [[[12.3, 0.5782], [13.7, 0.5782]], {"stroke": "red"}], [[[14, 0.6519], [14, 0.6563]], {"stroke": "red"}], [[[13.3, 0.6541], [14.7, 0.6541]], {"stroke": "red"}], [[[15, 0.6121], [15, 0.6164999999999999]], {"stroke": "red"}], [[[14.3, 0.6143], [15.7, 0.6143]], {"stroke": "red"}], [[[16, 0.5952000000000001], [16, 0.5996]], {"stroke": "red"}], [[[15.3, 0.5974], [16.7, 0.5974]], {"stroke": "red"}], [[[17, 0.6439], [17, 0.6483]], {"stroke": "red"}], [[[16.3, 0.6461], [17.7, 0.6461]], {"stroke": "red"}], [[[18, 0.5856], [18, 0.59]], {"stroke": "red"}], [[[17.3, 0.5878], [18.7, 0.5878]], {"stroke": "red"}], [[[19, 0.6038], [19, 0.6082]], {"stroke": "red"}], [[[18.3, 0.606], [19.7, 0.606]], {"stroke": "red"}], [[[20, 0.6081], [20, 0.6124999999999999]], {"stroke": "red"}], [[[19.3, 0.6103], [20.7, 0.6103]], {"stroke": "red"}], [[[21, 0.6379], [21, 0.6423]], {"stroke": "red"}], [[[20.3, 0.6401], [21.7, 0.6401]], {"stroke": "red"}], [[[22, 0.6065], [22, 0.6109]], {"stroke": "red"}], [[[21.3, 0.6087], [22.7, 0.6087]], {"stroke": "red"}], [[[23, 0.607], [23, 0.6113999999999999]], {"stroke": "red"}], [[[22.3, 0.6092], [23.7, 0.6092]], {"stroke": "red"}], [[[24, 0.6578], [24, 0.6622]], {"stroke": "red"}], [[[23.3, 0.66], [24.7, 0.66]], {"stroke": "red"}], [[[25, 0.6006], [25, 0.605]], {"stroke": "red"}], [[[24.3, 0.6028], [25.7, 0.6028]], {"stroke": "red"}], [[[26, 0.6025], [26, 0.6069]], {"stroke": "red"}], [[[25.3, 0.6047], [26.7, 0.6047]], {"stroke": "red"}], [[[27, 0.6115], [27, 0.6159]], {"stroke": "red"}], [[[26.3, 0.6137], [27.7, 0.6137]], {"stroke": "red"}], [[[28, 0.6446000000000001], [28, 0.649]], {"stroke": "red"}], [[[27.3, 0.6468], [28.7, 0.6468]], {"stroke": "red"}], [[[29, 0.6022000000000001], [29, 0.6066]], {"stroke": "red"}], [[[28.3, 0.6044], [29.7, 0.6044]], {"stroke": "red"}], [[[30, 0.6057], [30, 0.6101]], {"stroke": "red"}], [[[29.3, 0.6079], [30.7, 0.6079]], {"stroke": "red"}], [[[31, 0.5765], [31, 0.5809]], {"stroke": "red"}], [[[30.3, 0.5787], [31.7, 0.5787]], {"stroke": "red"}], [[[32, 0.6279], [32, 0.6323]], {"stroke": "red"}], [[[31.3, 0.6301], [32.7, 0.6301]], {"stroke": "red"}], [[[33, 0.6087], [33, 0.6131]], {"stroke": "red"}], [[[32.3, 0.6109], [33.7, 0.6109]], {"stroke": "red"}], [[[34, 0.6454], [34, 0.6497999999999999]], {"stroke": "red"}], [[[33.3, 0.6476], [34.7, 0.6476]], {"stroke": "red"}], [[[35, 0.6106], [35, 0.615]], {"stroke": "red"}], [[[34.3, 0.6128], [35.7, 0.6128]], {"stroke": "red"}], [[[36, 0.5947], [36, 0.5991]], {"stroke": "red"}], [[[35.3, 0.5969], [36.7, 0.5969]], {"stroke": "red"}], [[[37, 0.623], [37, 0.6274]], {"stroke": "red"}], [[[36.3, 0.6252], [37.7, 0.6252]], {"stroke": "red"}], [[[38, 0.6073000000000001], [38, 0.6117]], {"stroke": "red"}], [[[37.3, 0.6095], [38.7, 0.6095]], {"stroke": "red"}], [[[39, 0.6198], [39, 0.6242]], {"stroke": "red"}], [[[38.3, 0.622], [39.7, 0.622]], {"stroke": "red"}], [[[40, 0.5718], [40, 0.5761999999999999]], {"stroke": "red"}], [[[39.3, 0.574], [40.7, 0.574]], {"stroke": "red"}], [[[41, 0.5929], [41, 0.5972999999999999]], {"stroke": "red"}], [[[40.3, 0.5951], [41.7, 0.5951]], {"stroke": "red"}], [[[42, 0.5578000000000001], [42, 0.5622]], {"stroke": "red"}], [[[41.3, 0.56], [42.7, 0.56]], {"stroke": "red"}], [[[43, 0.6251], [43, 0.6295]], {"stroke": "red"}], [[[42.3, 0.6273], [43.7, 0.6273]], {"stroke": "red"}], [[[44, 0.627], [44, 0.6314]], {"stroke": "red"}], [[[43.3, 0.6292], [44.7, 0.6292]], {"stroke": "red"}], [[[45, 0.5903], [45, 0.5947]], {"stroke": "red"}], [[[44.3, 0.5925], [45.7, 0.5925]], {"stroke": "red"}], [[[46, 0.5578000000000001], [46, 0.5622]], {"stroke": "red"}], [[[45.3, 0.56], [46.7, 0.56]], {"stroke": "red"}], [[[47, 0.6107], [47, 0.6151]], {"stroke": "red"}], [[[46.3, 0.6129], [47.7, 0.6129]], {"stroke": "red"}], [[[48, 0.5959], [48, 0.6003]], {"stroke": "red"}], [[[47.3, 0.5981], [48.7, 0.5981]], {"stroke": "red"}], [[[49, 0.6091], [49, 0.6134999999999999]], {"stroke": "red"}], [[[48.3, 0.6113], [49.7, 0.6113]], {"stroke": "red"}], [[[50, 0.6562], [50, 0.6606]], {"stroke": "red"}], [[[49.3, 0.6584], [50.7, 0.6584]], {"stroke": "red"}], [[[51, 0.6111], [51, 0.6154999999999999]], {"stroke": "red"}], [[[50.3, 0.6133], [51.7, 0.6133]], {"stroke": "red"}], [[[52, 0.6089], [52, 0.6133]], {"stroke": "red"}], [[[51.3, 0.6111], [52.7, 0.6111]], {"stroke": "red"}], [[[53, 0.5928], [53, 0.5972]], {"stroke": "red"}], [[[52.3, 0.595], [53.7, 0.595]], {"stroke": "red"}], [[[54, 0.6169], [54, 0.6213]], {"stroke": "red"}], [[[53.3, 0.6191], [54.7, 0.6191]], {"stroke": "red"}], [[[55, 0.605], [55, 0.6093999999999999]], {"stroke": "red"}], [[[54.3, 0.6072], [55.7, 0.6072]], {"stroke": "red"}], [[[56, 0.6073000000000001], [56, 0.6117]], {"stroke": "red"}], [[[55.3, 0.6095], [56.7, 0.6095]], {"stroke": "red"}], [[[57, 0.6219], [57, 0.6263]], {"stroke": "red"}], [[[56.3, 0.6241], [57.7, 0.6241]], {"stroke": "red"}], [[[58, 0.634], [58, 0.6384]], {"stroke": "red"}], [[[57.3, 0.6362], [58.7, 0.6362]], {"stroke": "red"}], [[[59, 0.6188], [59, 0.6232]], {"stroke": "red"}], [[[58.3, 0.621], [59.7, 0.621]], {"stroke": "red"}], [[[60, 0.6132], [60, 0.6175999999999999]], {"stroke": "red"}], [[[59.3, 0.6154], [60.7, 0.6154]], {"stroke": "red"}], [[[61, 0.6368], [61, 0.6412]], {"stroke": "red"}], [[[60.3, 0.639], [61.7, 0.639]], {"stroke": "red"}], [[[62, 0.6343], [62, 0.6386999999999999]], {"stroke": "red"}], [[[61.3, 0.6365], [62.7, 0.6365]], {"stroke": "red"}], [[[63, 0.5928], [63, 0.5972]], {"stroke": "red"}], [[[62.3, 0.595], [63.7, 0.595]], {"stroke": "red"}], [[[64, 0.6479], [64, 0.6523]], {"stroke": "red"}], [[[63.3, 0.6501], [64.7, 0.6501]], {"stroke": "red"}], [[[65, 0.6155], [65, 0.6199]], {"stroke": "red"}], [[[64.3, 0.6177], [65.7, 0.6177]], {"stroke": "red"}], [[[66, 0.5605], [66, 0.5649]], {"stroke": "red"}], [[[65.3, 0.5627], [66.7, 0.5627]], {"stroke": "red"}], [[[67, 0.603], [67, 0.6073999999999999]], {"stroke": "red"}], [[[66.3, 0.6052], [67.7, 0.6052]], {"stroke": "red"}], [[[68, 0.6414], [68, 0.6457999999999999]], {"stroke": "red"}], [[[67.3, 0.6436], [68.7, 0.6436]], {"stroke": "red"}], [[[69, 0.615], [69, 0.6194]], {"stroke": "red"}], [[[68.3, 0.6172], [69.7, 0.6172]], {"stroke": "red"}], [[[70, 0.648], [70, 0.6524]], {"stroke": "red"}], [[[69.3, 0.6502], [70.7, 0.6502]], {"stroke": "red"}], [[[71, 0.6249], [71, 0.6293]], {"stroke": "red"}], [[[70.3, 0.6271], [71.7, 0.6271]], {"stroke": "red"}], [[[72, 0.5679000000000001], [72, 0.5723]], {"stroke": "red"}], [[[71.3, 0.5701], [72.7, 0.5701]], {"stroke": "red"}], [[[73, 0.6238], [73, 0.6282]], {"stroke": "red"}], [[[72.3, 0.626], [73.7, 0.626]], {"stroke": "red"}], [[[74, 0.5817], [74, 0.5861]], {"stroke": "red"}], [[[73.3, 0.5839], [74.7, 0.5839]], {"stroke": "red"}], [[[75, 0.5921000000000001], [75, 0.5965]], {"stroke": "red"}], [[[74.3, 0.5943], [75.7, 0.5943]], {"stroke": "red"}], [[[76, 0.6381], [76, 0.6425]], {"stroke": "red"}], [[[75.3, 0.6403], [76.7, 0.6403]], {"stroke": "red"}], [[[77, 0.6293], [77, 0.6336999999999999]], {"stroke": "red"}], [[[76.3, 0.6315], [77.7, 0.6315]], {"stroke": "red"}], [[[78, 0.6121], [78, 0.6164999999999999]], {"stroke": "red"}], [[[77.3, 0.6143], [78.7, 0.6143]], {"stroke": "red"}], [[[79, 0.6133000000000001], [79, 0.6177]], {"stroke": "red"}], [[[78.3, 0.6155], [79.7, 0.6155]], {"stroke": "red"}], [[[80, 0.6206], [80, 0.625]], {"stroke": "red"}], [[[79.3, 0.6228], [80.7, 0.6228]], {"stroke": "red"}], [[[81, 0.612], [81, 0.6164]], {"stroke": "red"}], [[[80.3, 0.6142], [81.7, 0.6142]], {"stroke": "red"}], [[[82, 0.6578], [82, 0.6622]], {"stroke": "red"}], [[[81.3, 0.66], [82.7, 0.66]], {"stroke": "red"}], [[[83, 0.6112], [83, 0.6155999999999999]], {"stroke": "red"}], [[[82.3, 0.6134], [83.7, 0.6134]], {"stroke": "red"}], [[[84, 0.5833], [84, 0.5877]], {"stroke": "red"}], [[[83.3, 0.5855], [84.7, 0.5855]], {"stroke": "red"}], [[[85, 0.6118], [85, 0.6162]], {"stroke": "red"}], [[[84.3, 0.614], [85.7, 0.614]], {"stroke": "red"}], [[[86, 0.6192], [86, 0.6235999999999999]], {"stroke": "red"}], [[[85.3, 0.6214], [86.7, 0.6214]], {"stroke": "red"}], [[[87, 0.6328], [87, 0.6372]], {"stroke": "red"}], [[[86.3, 0.635], [87.7, 0.635]], {"stroke": "red"}], [[[88, 0.6578], [88, 0.6622]], {"stroke": "red"}], [[[87.3, 0.66], [88.7, 0.66]], {"stroke": "red"}], [[[89, 0.6154000000000001], [89, 0.6198]], {"stroke": "red"}], [[[88.3, 0.6176], [89.7, 0.6176]], {"stroke": "red"}], [[[90, 0.6152], [90, 0.6195999999999999]], {"stroke": "red"}], [[[89.3, 0.6174], [90.7, 0.6174]], {"stroke": "red"}], [[[91, 0.6181], [91, 0.6224999999999999]], {"stroke": "red"}], [[[90.3, 0.6203], [91.7, 0.6203]], {"stroke": "red"}], [[[92, 0.603], [92, 0.6073999999999999]], {"stroke": "red"}], [[[91.3, 0.6052], [92.7, 0.6052]], {"stroke": "red"}], [[[93, 0.6438], [93, 0.6482]], {"stroke": "red"}], [[[92.3, 0.646], [93.7, 0.646]], {"stroke": "red"}], [[[94, 0.6205], [94, 0.6249]], {"stroke": "red"}], [[[93.3, 0.6227], [94.7, 0.6227]], {"stroke": "red"}], [[[95, 0.6079], [95, 0.6123]], {"stroke": "red"}], [[[94.3, 0.6101], [95.7, 0.6101]], {"stroke": "red"}], [[[96, 0.6154000000000001], [96, 0.6198]], {"stroke": "red"}], [[[95.3, 0.6176], [96.7, 0.6176]], {"stroke": "red"}], [[[97, 0.5815], [97, 0.5859]], {"stroke": "red"}], [[[96.3, 0.5837], [97.7, 0.5837]], {"stroke": "red"}], [[[98, 0.6357], [98, 0.6401]], {"stroke": "red"}], [[[97.3, 0.6379], [98.7, 0.6379]], {"stroke": "red"}], [[[99, 0.5887], [99, 0.5931]], {"stroke": "red"}], [[[98.3, 0.5909], [99.7, 0.5909]], {"stroke": "red"}], [[[100, 0.6114], [100, 0.6158]], {"stroke": "red"}], [[[99.3, 0.6136], [100.7, 0.6136]], {"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.