On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
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[[[15, 0.574], [15, 0.5761999999999999]], {"stroke": "red"}], [[[14.3, 0.5751], [15.7, 0.5751]], {"stroke": "red"}], [[[16, 0.5687], [16, 0.5709]], {"stroke": "red"}], [[[15.3, 0.5698], [16.7, 0.5698]], {"stroke": "red"}], [[[17, 0.5529000000000001], [17, 0.5551]], {"stroke": "red"}], [[[16.3, 0.554], [17.7, 0.554]], {"stroke": "red"}], [[[18, 0.5905], [18, 0.5927]], {"stroke": "red"}], [[[17.3, 0.5916], [18.7, 0.5916]], {"stroke": "red"}], [[[19, 0.5502], [19, 0.5524]], {"stroke": "red"}], [[[18.3, 0.5513], [19.7, 0.5513]], {"stroke": "red"}], [[[20, 0.5548], [20, 0.5569999999999999]], {"stroke": "red"}], [[[19.3, 0.5559], [20.7, 0.5559]], {"stroke": "red"}], [[[21, 0.5706], [21, 0.5728]], {"stroke": "red"}], [[[20.3, 0.5717], [21.7, 0.5717]], {"stroke": "red"}], [[[22, 0.5828], [22, 0.585]], {"stroke": "red"}], [[[21.3, 0.5839], [22.7, 0.5839]], {"stroke": "red"}], [[[23, 0.5914], [23, 0.5936]], {"stroke": "red"}], [[[22.3, 0.5925], [23.7, 0.5925]], {"stroke": "red"}], [[[24, 0.5783], [24, 0.5805]], {"stroke": "red"}], [[[23.3, 0.5794], [24.7, 0.5794]], {"stroke": "red"}], [[[25, 0.5807], [25, 0.5829]], {"stroke": "red"}], [[[24.3, 0.5818], [25.7, 0.5818]], {"stroke": "red"}], [[[26, 0.58], [26, 0.5821999999999999]], {"stroke": "red"}], [[[25.3, 0.5811], [26.7, 0.5811]], {"stroke": "red"}], [[[27, 0.5578], [27, 0.5599999999999999]], {"stroke": "red"}], [[[26.3, 0.5589], [27.7, 0.5589]], {"stroke": "red"}], [[[28, 0.5632], [28, 0.5654]], {"stroke": "red"}], [[[27.3, 0.5643], [28.7, 0.5643]], {"stroke": "red"}], [[[29, 0.5751000000000001], [29, 0.5773]], {"stroke": "red"}], [[[28.3, 0.5762], [29.7, 0.5762]], {"stroke": "red"}], [[[30, 0.5762], [30, 0.5784]], {"stroke": "red"}], [[[29.3, 0.5773], [30.7, 0.5773]], {"stroke": "red"}], [[[31, 0.5827], [31, 0.5849]], {"stroke": "red"}], [[[30.3, 0.5838], [31.7, 0.5838]], {"stroke": "red"}], [[[32, 0.5700000000000001], [32, 0.5722]], {"stroke": "red"}], [[[31.3, 0.5711], [32.7, 0.5711]], {"stroke": "red"}], [[[33, 0.5512], [33, 0.5534]], {"stroke": "red"}], [[[32.3, 0.5523], [33.7, 0.5523]], {"stroke": "red"}], [[[34, 0.5801000000000001], [34, 0.5823]], {"stroke": "red"}], [[[33.3, 0.5812], [34.7, 0.5812]], {"stroke": "red"}], [[[35, 0.5877], [35, 0.5899]], {"stroke": "red"}], [[[34.3, 0.5888], [35.7, 0.5888]], {"stroke": "red"}], [[[36, 0.5558], [36, 0.5579999999999999]], {"stroke": "red"}], [[[35.3, 0.5569], [36.7, 0.5569]], {"stroke": "red"}], [[[37, 0.5898], [37, 0.592]], {"stroke": "red"}], [[[36.3, 0.5909], [37.7, 0.5909]], {"stroke": "red"}], [[[38, 0.5576], [38, 0.5598]], {"stroke": "red"}], [[[37.3, 0.5587], [38.7, 0.5587]], {"stroke": "red"}], [[[39, 0.5667], [39, 0.5689]], {"stroke": "red"}], [[[38.3, 0.5678], [39.7, 0.5678]], {"stroke": "red"}], [[[40, 0.5876], [40, 0.5898]], {"stroke": "red"}], [[[39.3, 0.5887], [40.7, 0.5887]], {"stroke": "red"}], [[[41, 0.5439], [41, 0.5461]], {"stroke": "red"}], [[[40.3, 0.545], [41.7, 0.545]], {"stroke": "red"}], [[[42, 0.5495], [42, 0.5517]], 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{"stroke": "red"}], [[[89, 0.5645], [89, 0.5667]], {"stroke": "red"}], [[[88.3, 0.5656], [89.7, 0.5656]], {"stroke": "red"}], [[[90, 0.5683], [90, 0.5705]], {"stroke": "red"}], [[[89.3, 0.5694], [90.7, 0.5694]], {"stroke": "red"}], [[[91, 0.562], [91, 0.5642]], {"stroke": "red"}], [[[90.3, 0.5631], [91.7, 0.5631]], {"stroke": "red"}], [[[92, 0.5689], [92, 0.5710999999999999]], {"stroke": "red"}], [[[91.3, 0.57], [92.7, 0.57]], {"stroke": "red"}], [[[93, 0.5935], [93, 0.5957]], {"stroke": "red"}], [[[92.3, 0.5946], [93.7, 0.5946]], {"stroke": "red"}], [[[94, 0.5442], [94, 0.5464]], {"stroke": "red"}], [[[93.3, 0.5453], [94.7, 0.5453]], {"stroke": "red"}], [[[95, 0.5843], [95, 0.5865]], {"stroke": "red"}], [[[94.3, 0.5854], [95.7, 0.5854]], {"stroke": "red"}], [[[96, 0.5801000000000001], [96, 0.5823]], {"stroke": "red"}], [[[95.3, 0.5812], [96.7, 0.5812]], {"stroke": "red"}], [[[97, 0.579], [97, 0.5811999999999999]], {"stroke": "red"}], [[[96.3, 0.5801], [97.7, 0.5801]], {"stroke": "red"}], [[[98, 0.5714], [98, 0.5736]], {"stroke": "red"}], [[[97.3, 0.5725], [98.7, 0.5725]], {"stroke": "red"}], [[[99, 0.5756], [99, 0.5778]], {"stroke": "red"}], [[[98.3, 0.5767], [99.7, 0.5767]], {"stroke": "red"}], [[[100, 0.5439], [100, 0.5461]], {"stroke": "red"}], [[[99.3, 0.545], [100.7, 0.545]], {"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.