On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.21800000000000003, 0.342]], "scale": [6.0, 3629.032258064516], "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, 0.22], "0,22", "left", {"font-size": 13}], [[0.20000000000000018, 0.23], "0,23", "left", {"font-size": 13}]], "path": [[[[0, 0.28], [100, 0.28]]], [[[1, 0.238636], [1, 0.241364]], {"stroke": "red"}], [[[0.29999999999999993, 0.24], [1.7000000000000002, 0.24]], {"stroke": "red"}], [[[2, 0.238636], [2, 0.241364]], {"stroke": "red"}], [[[1.2999999999999998, 0.24], [2.7, 0.24]], {"stroke": "red"}], [[[3, 0.30133600000000005], [3, 0.304064]], {"stroke": "red"}], [[[2.3, 0.3027], [3.7, 0.3027]], {"stroke": "red"}], [[[4, 0.299236], [4, 0.30196399999999995]], {"stroke": "red"}], [[[3.3, 0.3006], [4.7, 0.3006]], {"stroke": "red"}], [[[5, 0.314836], [5, 0.31756399999999996]], {"stroke": "red"}], [[[4.3, 0.3162], [5.7, 0.3162]], {"stroke": "red"}], [[[6, 0.257936], [6, 0.26066399999999995]], {"stroke": "red"}], [[[5.3, 0.2593], [6.7, 0.2593]], {"stroke": "red"}], [[[7, 0.27623600000000004], [7, 0.278964]], {"stroke": "red"}], [[[6.3, 0.2776], [7.7, 0.2776]], {"stroke": "red"}], [[[8, 0.30793600000000004], [8, 0.310664]], {"stroke": "red"}], [[[7.3, 0.3093], [8.7, 0.3093]], {"stroke": "red"}], [[[9, 0.276336], [9, 0.279064]], {"stroke": "red"}], [[[8.3, 0.2777], [9.7, 0.2777]], {"stroke": "red"}], [[[10, 0.294736], [10, 0.29746399999999995]], {"stroke": "red"}], [[[9.3, 0.2961], [10.7, 0.2961]], {"stroke": "red"}], [[[11, 0.28733600000000004], [11, 0.290064]], {"stroke": "red"}], [[[10.3, 0.2887], [11.7, 0.2887]], {"stroke": "red"}], [[[12, 0.27213600000000004], [12, 0.274864]], {"stroke": "red"}], [[[11.3, 0.2735], [12.7, 0.2735]], {"stroke": "red"}], [[[13, 0.28433600000000003], [13, 0.287064]], {"stroke": "red"}], [[[12.3, 0.2857], [13.7, 0.2857]], {"stroke": "red"}], [[[14, 0.277436], [14, 0.28016399999999997]], {"stroke": "red"}], [[[13.3, 0.2788], [14.7, 0.2788]], {"stroke": "red"}], [[[15, 0.28223600000000004], [15, 0.284964]], {"stroke": "red"}], [[[14.3, 0.2836], [15.7, 0.2836]], {"stroke": "red"}], [[[16, 0.292136], [16, 0.29486399999999996]], {"stroke": "red"}], [[[15.3, 0.2935], [16.7, 0.2935]], {"stroke": "red"}], [[[17, 0.26003600000000004], [17, 0.262764]], {"stroke": "red"}], [[[16.3, 0.2614], [17.7, 0.2614]], {"stroke": "red"}], [[[18, 0.290636], [18, 0.29336399999999996]], {"stroke": "red"}], [[[17.3, 0.292], [18.7, 0.292]], {"stroke": "red"}], [[[19, 0.27613600000000005], [19, 0.278864]], {"stroke": "red"}], [[[18.3, 0.2775], [19.7, 0.2775]], {"stroke": "red"}], [[[20, 0.28473600000000004], [20, 0.287464]], {"stroke": "red"}], [[[19.3, 0.2861], [20.7, 0.2861]], {"stroke": "red"}], [[[21, 0.284436], [21, 0.287164]], {"stroke": "red"}], [[[20.3, 0.2858], [21.7, 0.2858]], {"stroke": "red"}], [[[22, 0.309236], [22, 0.31196399999999996]], {"stroke": "red"}], [[[21.3, 0.3106], [22.7, 0.3106]], {"stroke": "red"}], [[[23, 0.277836], [23, 0.280564]], {"stroke": "red"}], [[[22.3, 0.2792], [23.7, 0.2792]], {"stroke": "red"}], [[[24, 0.30643600000000004], [24, 0.309164]], {"stroke": "red"}], [[[23.3, 0.3078], [24.7, 0.3078]], {"stroke": "red"}], [[[25, 0.27723600000000004], [25, 0.279964]], {"stroke": "red"}], [[[24.3, 0.2786], [25.7, 0.2786]], {"stroke": "red"}], [[[26, 0.284636], [26, 0.28736399999999995]], {"stroke": "red"}], [[[25.3, 0.286], [26.7, 0.286]], {"stroke": "red"}], [[[27, 0.244836], [27, 0.247564]], {"stroke": "red"}], [[[26.3, 0.2462], [27.7, 0.2462]], {"stroke": "red"}], [[[28, 0.274836], [28, 0.277564]], {"stroke": "red"}], [[[27.3, 0.2762], [28.7, 0.2762]], {"stroke": "red"}], [[[29, 0.31863600000000003], [29, 0.321364]], {"stroke": "red"}], [[[28.3, 0.32], [29.7, 0.32]], {"stroke": "red"}], [[[30, 0.268036], [30, 0.27076399999999995]], {"stroke": "red"}], [[[29.3, 0.2694], [30.7, 0.2694]], {"stroke": "red"}], [[[31, 0.296636], [31, 0.29936399999999996]], {"stroke": "red"}], [[[30.3, 0.298], [31.7, 0.298]], {"stroke": "red"}], [[[32, 0.275436], [32, 0.27816399999999997]], {"stroke": "red"}], [[[31.3, 0.2768], [32.7, 0.2768]], {"stroke": "red"}], [[[33, 0.27463600000000005], [33, 0.277364]], {"stroke": "red"}], [[[32.3, 0.276], [33.7, 0.276]], {"stroke": "red"}], [[[34, 0.273036], [34, 0.27576399999999995]], {"stroke": "red"}], [[[33.3, 0.2744], [34.7, 0.2744]], {"stroke": "red"}], [[[35, 0.279036], [35, 0.28176399999999996]], {"stroke": "red"}], [[[34.3, 0.2804], [35.7, 0.2804]], {"stroke": "red"}], [[[36, 0.27363600000000005], [36, 0.276364]], {"stroke": "red"}], [[[35.3, 0.275], [36.7, 0.275]], {"stroke": "red"}], [[[37, 0.29643600000000003], [37, 0.299164]], {"stroke": "red"}], [[[36.3, 0.2978], [37.7, 0.2978]], {"stroke": "red"}], [[[38, 0.313336], [38, 0.31606399999999996]], {"stroke": "red"}], [[[37.3, 0.3147], [38.7, 0.3147]], {"stroke": "red"}], [[[39, 0.28623600000000005], [39, 0.288964]], {"stroke": "red"}], [[[38.3, 0.2876], [39.7, 0.2876]], {"stroke": "red"}], [[[40, 0.273036], [40, 0.27576399999999995]], {"stroke": "red"}], [[[39.3, 0.2744], [40.7, 0.2744]], {"stroke": "red"}], [[[41, 0.288936], [41, 0.291664]], {"stroke": "red"}], [[[40.3, 0.2903], [41.7, 0.2903]], {"stroke": "red"}], [[[42, 0.293636], [42, 0.29636399999999996]], {"stroke": "red"}], [[[41.3, 0.295], [42.7, 0.295]], {"stroke": "red"}], [[[43, 0.27213600000000004], [43, 0.274864]], {"stroke": "red"}], [[[42.3, 0.2735], [43.7, 0.2735]], {"stroke": "red"}], [[[44, 0.280936], [44, 0.28366399999999997]], {"stroke": "red"}], [[[43.3, 0.2823], [44.7, 0.2823]], {"stroke": "red"}], [[[45, 0.29393600000000003], [45, 0.296664]], {"stroke": "red"}], [[[44.3, 0.2953], [45.7, 0.2953]], {"stroke": "red"}], [[[46, 0.291636], [46, 0.29436399999999996]], {"stroke": "red"}], [[[45.3, 0.293], [46.7, 0.293]], {"stroke": "red"}], [[[47, 0.27013600000000004], [47, 0.272864]], {"stroke": "red"}], [[[46.3, 0.2715], [47.7, 0.2715]], {"stroke": "red"}], [[[48, 0.282136], [48, 0.28486399999999995]], {"stroke": "red"}], [[[47.3, 0.2835], [48.7, 0.2835]], {"stroke": "red"}], [[[49, 0.268036], [49, 0.27076399999999995]], {"stroke": "red"}], [[[48.3, 0.2694], [49.7, 0.2694]], {"stroke": "red"}], [[[50, 0.284936], [50, 0.287664]], {"stroke": "red"}], [[[49.3, 0.2863], [50.7, 0.2863]], {"stroke": "red"}], [[[51, 0.297236], [51, 0.29996399999999995]], {"stroke": "red"}], [[[50.3, 0.2986], [51.7, 0.2986]], {"stroke": "red"}], [[[52, 0.26863600000000004], [52, 0.271364]], {"stroke": "red"}], [[[51.3, 0.27], [52.7, 0.27]], {"stroke": "red"}], [[[53, 0.295036], [53, 0.297764]], {"stroke": "red"}], [[[52.3, 0.2964], [53.7, 0.2964]], {"stroke": "red"}], [[[54, 0.271936], [54, 0.27466399999999996]], {"stroke": "red"}], [[[53.3, 0.2733], [54.7, 0.2733]], {"stroke": "red"}], [[[55, 0.305136], [55, 0.30786399999999997]], {"stroke": "red"}], [[[54.3, 0.3065], [55.7, 0.3065]], {"stroke": "red"}], [[[56, 0.289436], [56, 0.292164]], {"stroke": "red"}], [[[55.3, 0.2908], [56.7, 0.2908]], {"stroke": "red"}], [[[57, 0.290136], [57, 0.29286399999999996]], {"stroke": "red"}], [[[56.3, 0.2915], [57.7, 0.2915]], {"stroke": "red"}], [[[58, 0.30193600000000004], [58, 0.304664]], {"stroke": "red"}], [[[57.3, 0.3033], [58.7, 0.3033]], {"stroke": "red"}], [[[59, 0.29693600000000003], [59, 0.299664]], {"stroke": "red"}], [[[58.3, 0.2983], [59.7, 0.2983]], {"stroke": "red"}], [[[60, 0.26823600000000003], [60, 0.270964]], {"stroke": "red"}], [[[59.3, 0.2696], [60.7, 0.2696]], {"stroke": "red"}], [[[61, 0.276936], [61, 0.27966399999999997]], {"stroke": "red"}], [[[60.3, 0.2783], [61.7, 0.2783]], {"stroke": "red"}], [[[62, 0.246536], [62, 0.249264]], {"stroke": "red"}], [[[61.3, 0.2479], [62.7, 0.2479]], {"stroke": "red"}], [[[63, 0.27983600000000003], [63, 0.282564]], {"stroke": "red"}], [[[62.3, 0.2812], [63.7, 0.2812]], {"stroke": "red"}], [[[64, 0.298636], [64, 0.30136399999999997]], {"stroke": "red"}], [[[63.3, 0.3], [64.7, 0.3]], {"stroke": "red"}], [[[65, 0.276036], [65, 0.27876399999999996]], {"stroke": "red"}], [[[64.3, 0.2774], [65.7, 0.2774]], {"stroke": "red"}], [[[66, 0.26773600000000003], [66, 0.270464]], {"stroke": "red"}], [[[65.3, 0.2691], [66.7, 0.2691]], {"stroke": "red"}], [[[67, 0.25563600000000003], [67, 0.258364]], {"stroke": "red"}], [[[66.3, 0.257], [67.7, 0.257]], {"stroke": "red"}], [[[68, 0.297636], [68, 0.30036399999999996]], {"stroke": "red"}], [[[67.3, 0.299], [68.7, 0.299]], {"stroke": "red"}], [[[69, 0.29533600000000004], [69, 0.298064]], {"stroke": "red"}], [[[68.3, 0.2967], [69.7, 0.2967]], {"stroke": "red"}], [[[70, 0.262936], [70, 0.26566399999999996]], {"stroke": "red"}], [[[69.3, 0.2643], [70.7, 0.2643]], {"stroke": "red"}], [[[71, 0.267436], [71, 0.27016399999999996]], {"stroke": "red"}], [[[70.3, 0.2688], [71.7, 0.2688]], {"stroke": "red"}], [[[72, 0.301536], [72, 0.304264]], {"stroke": "red"}], [[[71.3, 0.3029], [72.7, 0.3029]], {"stroke": "red"}], [[[73, 0.265836], [73, 0.26856399999999997]], {"stroke": "red"}], [[[72.3, 0.2672], [73.7, 0.2672]], {"stroke": "red"}], [[[74, 0.256836], [74, 0.25956399999999996]], {"stroke": "red"}], [[[73.3, 0.2582], [74.7, 0.2582]], {"stroke": "red"}], [[[75, 0.238636], [75, 0.241364]], {"stroke": "red"}], [[[74.3, 0.24], [75.7, 0.24]], {"stroke": "red"}], [[[76, 0.272036], [76, 0.27476399999999995]], {"stroke": "red"}], [[[75.3, 0.2734], [76.7, 0.2734]], {"stroke": "red"}], [[[77, 0.25803600000000004], [77, 0.260764]], {"stroke": "red"}], [[[76.3, 0.2594], [77.7, 0.2594]], {"stroke": "red"}], [[[78, 0.288636], [78, 0.29136399999999996]], {"stroke": "red"}], [[[77.3, 0.29], [78.7, 0.29]], {"stroke": "red"}], [[[79, 0.29123600000000005], [79, 0.293964]], {"stroke": "red"}], [[[78.3, 0.2926], [79.7, 0.2926]], {"stroke": "red"}], [[[80, 0.27663600000000005], [80, 0.279364]], {"stroke": "red"}], [[[79.3, 0.278], [80.7, 0.278]], {"stroke": "red"}], [[[81, 0.25413600000000003], [81, 0.256864]], {"stroke": "red"}], [[[80.3, 0.2555], [81.7, 0.2555]], {"stroke": "red"}], [[[82, 0.30693600000000004], [82, 0.309664]], {"stroke": "red"}], [[[81.3, 0.3083], [82.7, 0.3083]], {"stroke": "red"}], [[[83, 0.275936], [83, 0.27866399999999997]], {"stroke": "red"}], [[[82.3, 0.2773], [83.7, 0.2773]], {"stroke": "red"}], [[[84, 0.286636], [84, 0.28936399999999995]], {"stroke": "red"}], [[[83.3, 0.288], [84.7, 0.288]], {"stroke": "red"}], [[[85, 0.27073600000000003], [85, 0.273464]], {"stroke": "red"}], [[[84.3, 0.2721], [85.7, 0.2721]], {"stroke": "red"}], [[[86, 0.27063600000000004], [86, 0.273364]], {"stroke": "red"}], [[[85.3, 0.272], [86.7, 0.272]], {"stroke": "red"}], [[[87, 0.289936], [87, 0.292664]], {"stroke": "red"}], [[[86.3, 0.2913], [87.7, 0.2913]], {"stroke": "red"}], [[[88, 0.256436], [88, 0.25916399999999995]], {"stroke": "red"}], [[[87.3, 0.2578], [88.7, 0.2578]], {"stroke": "red"}], [[[89, 0.31863600000000003], [89, 0.321364]], {"stroke": "red"}], [[[88.3, 0.32], [89.7, 0.32]], {"stroke": "red"}], [[[90, 0.272536], [90, 0.27526399999999995]], {"stroke": "red"}], [[[89.3, 0.2739], [90.7, 0.2739]], {"stroke": "red"}], [[[91, 0.26053600000000005], [91, 0.263264]], {"stroke": "red"}], [[[90.3, 0.2619], [91.7, 0.2619]], {"stroke": "red"}], [[[92, 0.26353600000000005], [92, 0.266264]], {"stroke": "red"}], [[[91.3, 0.2649], [92.7, 0.2649]], {"stroke": "red"}], [[[93, 0.241536], [93, 0.244264]], {"stroke": "red"}], [[[92.3, 0.2429], [93.7, 0.2429]], {"stroke": "red"}], [[[94, 0.265936], [94, 0.26866399999999996]], {"stroke": "red"}], [[[93.3, 0.2673], [94.7, 0.2673]], {"stroke": "red"}], [[[95, 0.290136], [95, 0.29286399999999996]], {"stroke": "red"}], [[[94.3, 0.2915], [95.7, 0.2915]], {"stroke": "red"}], [[[96, 0.267536], [96, 0.27026399999999995]], {"stroke": "red"}], [[[95.3, 0.2689], [96.7, 0.2689]], {"stroke": "red"}], [[[97, 0.28023600000000004], [97, 0.282964]], {"stroke": "red"}], [[[96.3, 0.2816], [97.7, 0.2816]], {"stroke": "red"}], [[[98, 0.281436], [98, 0.28416399999999997]], {"stroke": "red"}], [[[97.3, 0.2828], [98.7, 0.2828]], {"stroke": "red"}], [[[99, 0.254336], [99, 0.25706399999999996]], {"stroke": "red"}], [[[98.3, 0.2557], [99.7, 0.2557]], {"stroke": "red"}], [[[100, 0.296636], [100, 0.29936399999999996]], {"stroke": "red"}], [[[99.3, 0.298], [100.7, 0.298]], {"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.