On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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[[[4.3, 0.7128], [5.7, 0.7128]], {"stroke": "red"}], [[[6, 0.6809000000000001], [6, 0.6853]], {"stroke": "red"}], [[[5.3, 0.6831], [6.7, 0.6831]], {"stroke": "red"}], [[[7, 0.7030000000000001], [7, 0.7074]], {"stroke": "red"}], [[[6.3, 0.7052], [7.7, 0.7052]], {"stroke": "red"}], [[[8, 0.6907], [8, 0.6950999999999999]], {"stroke": "red"}], [[[7.3, 0.6929], [8.7, 0.6929]], {"stroke": "red"}], [[[9, 0.6904], [9, 0.6948]], {"stroke": "red"}], [[[8.3, 0.6926], [9.7, 0.6926]], {"stroke": "red"}], [[[10, 0.6757], [10, 0.6800999999999999]], {"stroke": "red"}], [[[9.3, 0.6779], [10.7, 0.6779]], {"stroke": "red"}], [[[11, 0.6963], [11, 0.7007]], {"stroke": "red"}], [[[10.3, 0.6985], [11.7, 0.6985]], {"stroke": "red"}], [[[12, 0.6493], [12, 0.6537]], {"stroke": "red"}], [[[11.3, 0.6515], [12.7, 0.6515]], {"stroke": "red"}], [[[13, 0.7131000000000001], [13, 0.7175]], {"stroke": "red"}], [[[12.3, 0.7153], [13.7, 0.7153]], {"stroke": "red"}], [[[14, 0.7206], [14, 0.725]], {"stroke": "red"}], [[[13.3, 0.7228], [14.7, 0.7228]], {"stroke": "red"}], [[[15, 0.6901], [15, 0.6945]], {"stroke": "red"}], [[[14.3, 0.6923], [15.7, 0.6923]], {"stroke": "red"}], [[[16, 0.7368], [16, 0.7412]], {"stroke": "red"}], [[[15.3, 0.739], [16.7, 0.739]], {"stroke": "red"}], [[[17, 0.6544], [17, 0.6587999999999999]], {"stroke": "red"}], [[[16.3, 0.6566], [17.7, 0.6566]], {"stroke": "red"}], [[[18, 0.7303000000000001], [18, 0.7347]], {"stroke": "red"}], [[[17.3, 0.7325], [18.7, 0.7325]], {"stroke": "red"}], [[[19, 0.7198], [19, 0.7242]], {"stroke": "red"}], [[[18.3, 0.722], [19.7, 0.722]], {"stroke": "red"}], [[[20, 0.7104], [20, 0.7148]], {"stroke": "red"}], [[[19.3, 0.7126], [20.7, 0.7126]], {"stroke": "red"}], [[[21, 0.6993], [21, 0.7037]], {"stroke": "red"}], [[[20.3, 0.7015], [21.7, 0.7015]], {"stroke": "red"}], [[[22, 0.6829000000000001], [22, 0.6873]], {"stroke": "red"}], [[[21.3, 0.6851], [22.7, 0.6851]], {"stroke": "red"}], [[[23, 0.673], [23, 0.6774]], {"stroke": "red"}], [[[22.3, 0.6752], [23.7, 0.6752]], {"stroke": "red"}], [[[24, 0.7332000000000001], [24, 0.7376]], {"stroke": "red"}], [[[23.3, 0.7354], [24.7, 0.7354]], {"stroke": "red"}], [[[25, 0.6918], [25, 0.6961999999999999]], {"stroke": "red"}], [[[24.3, 0.694], [25.7, 0.694]], {"stroke": "red"}], [[[26, 0.7202000000000001], [26, 0.7246]], {"stroke": "red"}], [[[25.3, 0.7224], [26.7, 0.7224]], {"stroke": "red"}], [[[27, 0.6944], [27, 0.6988]], {"stroke": "red"}], [[[26.3, 0.6966], [27.7, 0.6966]], {"stroke": "red"}], [[[28, 0.6975], [28, 0.7019]], {"stroke": "red"}], [[[27.3, 0.6997], [28.7, 0.6997]], {"stroke": "red"}], [[[29, 0.6616], [29, 0.6659999999999999]], {"stroke": "red"}], [[[28.3, 0.6638], [29.7, 0.6638]], {"stroke": "red"}], [[[30, 0.6966], [30, 0.701]], {"stroke": "red"}], [[[29.3, 0.6988], [30.7, 0.6988]], {"stroke": "red"}], [[[31, 0.6945], [31, 0.6989]], {"stroke": "red"}], [[[30.3, 0.6967], [31.7, 0.6967]], {"stroke": "red"}], [[[32, 0.6857], [32, 0.6900999999999999]], {"stroke": "red"}], [[[31.3, 0.6879], [32.7, 0.6879]], {"stroke": "red"}], [[[33, 0.7100000000000001], [33, 0.7144]], {"stroke": "red"}], [[[32.3, 0.7122], [33.7, 0.7122]], {"stroke": "red"}], [[[34, 0.6843], [34, 0.6887]], {"stroke": "red"}], [[[33.3, 0.6865], [34.7, 0.6865]], {"stroke": "red"}], [[[35, 0.6718000000000001], [35, 0.6762]], {"stroke": "red"}], [[[34.3, 0.674], [35.7, 0.674]], {"stroke": "red"}], [[[36, 0.7079], [36, 0.7122999999999999]], {"stroke": "red"}], [[[35.3, 0.7101], [36.7, 0.7101]], {"stroke": "red"}], [[[37, 0.6795], [37, 0.6839]], {"stroke": "red"}], [[[36.3, 0.6817], [37.7, 0.6817]], {"stroke": "red"}], [[[38, 0.6976], [38, 0.702]], {"stroke": "red"}], [[[37.3, 0.6998], [38.7, 0.6998]], {"stroke": "red"}], [[[39, 0.7157], [39, 0.7201]], {"stroke": "red"}], [[[38.3, 0.7179], [39.7, 0.7179]], {"stroke": "red"}], [[[40, 0.7188], [40, 0.7232]], {"stroke": "red"}], [[[39.3, 0.721], [40.7, 0.721]], {"stroke": "red"}], [[[41, 0.7032], [41, 0.7076]], {"stroke": "red"}], [[[40.3, 0.7054], [41.7, 0.7054]], {"stroke": "red"}], [[[42, 0.726], [42, 0.7303999999999999]], {"stroke": "red"}], [[[41.3, 0.7282], [42.7, 0.7282]], {"stroke": "red"}], [[[43, 0.6918], [43, 0.6961999999999999]], {"stroke": "red"}], [[[42.3, 0.694], [43.7, 0.694]], {"stroke": "red"}], [[[44, 0.6793], [44, 0.6837]], {"stroke": "red"}], [[[43.3, 0.6815], [44.7, 0.6815]], {"stroke": "red"}], [[[45, 0.6632], [45, 0.6676]], {"stroke": "red"}], [[[44.3, 0.6654], [45.7, 0.6654]], {"stroke": "red"}], [[[46, 0.7196], [46, 0.724]], {"stroke": "red"}], [[[45.3, 0.7218], [46.7, 0.7218]], {"stroke": "red"}], [[[47, 0.6937], [47, 0.6980999999999999]], {"stroke": "red"}], [[[46.3, 0.6959], [47.7, 0.6959]], {"stroke": "red"}], [[[48, 0.7139], [48, 0.7182999999999999]], {"stroke": "red"}], [[[47.3, 0.7161], [48.7, 0.7161]], {"stroke": "red"}], [[[49, 0.6631], [49, 0.6675]], {"stroke": "red"}], [[[48.3, 0.6653], [49.7, 0.6653]], {"stroke": "red"}], [[[50, 0.7334], [50, 0.7378]], {"stroke": "red"}], 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"red"}], [[[58.3, 0.6991], [59.7, 0.6991]], {"stroke": "red"}], [[[60, 0.6949000000000001], [60, 0.6993]], {"stroke": "red"}], [[[59.3, 0.6971], [60.7, 0.6971]], {"stroke": "red"}], [[[61, 0.7478], [61, 0.7522]], {"stroke": "red"}], [[[60.3, 0.75], [61.7, 0.75]], {"stroke": "red"}], [[[62, 0.6857], [62, 0.6900999999999999]], {"stroke": "red"}], [[[61.3, 0.6879], [62.7, 0.6879]], {"stroke": "red"}], [[[63, 0.7048], [63, 0.7091999999999999]], {"stroke": "red"}], [[[62.3, 0.707], [63.7, 0.707]], {"stroke": "red"}], [[[64, 0.6878], [64, 0.6921999999999999]], {"stroke": "red"}], [[[63.3, 0.69], [64.7, 0.69]], {"stroke": "red"}], [[[65, 0.6743], [65, 0.6787]], {"stroke": "red"}], [[[64.3, 0.6765], [65.7, 0.6765]], {"stroke": "red"}], [[[66, 0.6688000000000001], [66, 0.6732]], {"stroke": "red"}], [[[65.3, 0.671], [66.7, 0.671]], {"stroke": "red"}], [[[67, 0.6872], [67, 0.6916]], {"stroke": "red"}], [[[66.3, 0.6894], [67.7, 0.6894]], {"stroke": "red"}], [[[68, 0.7144], [68, 0.7188]], 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0.7396]], {"stroke": "red"}], [[[87, 0.7033], [87, 0.7077]], {"stroke": "red"}], [[[86.3, 0.7055], [87.7, 0.7055]], {"stroke": "red"}], [[[88, 0.6618], [88, 0.6662]], {"stroke": "red"}], [[[87.3, 0.664], [88.7, 0.664]], {"stroke": "red"}], [[[89, 0.6920000000000001], [89, 0.6964]], {"stroke": "red"}], [[[88.3, 0.6942], [89.7, 0.6942]], {"stroke": "red"}], [[[90, 0.6836], [90, 0.688]], {"stroke": "red"}], [[[89.3, 0.6858], [90.7, 0.6858]], {"stroke": "red"}], [[[91, 0.7064], [91, 0.7108]], {"stroke": "red"}], [[[90.3, 0.7086], [91.7, 0.7086]], {"stroke": "red"}], [[[92, 0.6958], [92, 0.7001999999999999]], {"stroke": "red"}], [[[91.3, 0.698], [92.7, 0.698]], {"stroke": "red"}], [[[93, 0.6762], [93, 0.6806]], {"stroke": "red"}], [[[92.3, 0.6784], [93.7, 0.6784]], {"stroke": "red"}], [[[94, 0.6478], [94, 0.6522]], {"stroke": "red"}], [[[93.3, 0.65], [94.7, 0.65]], {"stroke": "red"}], [[[95, 0.6768000000000001], [95, 0.6812]], {"stroke": "red"}], [[[94.3, 0.679], [95.7, 0.679]], {"stroke": "red"}], [[[96, 0.6816], [96, 0.6859999999999999]], {"stroke": "red"}], [[[95.3, 0.6838], [96.7, 0.6838]], {"stroke": "red"}], [[[97, 0.7026], [97, 0.707]], {"stroke": "red"}], [[[96.3, 0.7048], [97.7, 0.7048]], {"stroke": "red"}], [[[98, 0.737], [98, 0.7414]], {"stroke": "red"}], [[[97.3, 0.7392], [98.7, 0.7392]], {"stroke": "red"}], [[[99, 0.7091000000000001], [99, 0.7135]], {"stroke": "red"}], [[[98.3, 0.7113], [99.7, 0.7113]], {"stroke": "red"}], [[[100, 0.6478], [100, 0.6522]], {"stroke": "red"}], [[[99.3, 0.65], [100.7, 0.65]], {"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.