On étudie la fréquence d’un événement grâce au graphique ci-dessous représentant \( 100 \) échantillons.
{"graphInit": {"range": [[-3, 101], [0.29200000000000004, 0.388]], "scale": [6.0, 4687.500000000001], "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, 0.29], "0,29", "left", {"font-size": 13}]], "path": [[[[0, 0.34], [100, 0.34]]], [[[1, 0.303944], [1, 0.306056]], {"stroke": "red"}], [[[0.29999999999999993, 0.305], [1.7000000000000002, 0.305]], {"stroke": "red"}], [[[2, 0.326844], [2, 0.328956]], {"stroke": "red"}], [[[1.2999999999999998, 0.3279], [2.7, 0.3279]], {"stroke": "red"}], [[[3, 0.357444], [3, 0.359556]], {"stroke": "red"}], [[[2.3, 0.3585], [3.7, 0.3585]], {"stroke": "red"}], [[[4, 0.342344], [4, 0.344456]], {"stroke": "red"}], [[[3.3, 0.3434], [4.7, 0.3434]], {"stroke": "red"}], [[[5, 0.350144], [5, 0.352256]], {"stroke": "red"}], [[[4.3, 0.3512], [5.7, 0.3512]], {"stroke": "red"}], [[[6, 0.319544], [6, 0.321656]], {"stroke": "red"}], [[[5.3, 0.3206], [6.7, 0.3206]], {"stroke": "red"}], [[[7, 0.303944], [7, 0.306056]], {"stroke": "red"}], [[[6.3, 0.305], [7.7, 0.305]], {"stroke": "red"}], [[[8, 0.349744], [8, 0.351856]], {"stroke": "red"}], [[[7.3, 0.3508], [8.7, 0.3508]], {"stroke": "red"}], [[[9, 0.340644], [9, 0.342756]], {"stroke": "red"}], [[[8.3, 0.3417], [9.7, 0.3417]], {"stroke": "red"}], [[[10, 0.355844], [10, 0.357956]], {"stroke": "red"}], [[[9.3, 0.3569], [10.7, 0.3569]], {"stroke": "red"}], [[[11, 0.320044], [11, 0.322156]], {"stroke": "red"}], [[[10.3, 0.3211], [11.7, 0.3211]], {"stroke": "red"}], [[[12, 0.351744], [12, 0.353856]], {"stroke": "red"}], [[[11.3, 0.3528], [12.7, 0.3528]], {"stroke": "red"}], [[[13, 0.329444], [13, 0.331556]], {"stroke": "red"}], [[[12.3, 0.3305], [13.7, 0.3305]], {"stroke": "red"}], [[[14, 0.332544], [14, 0.334656]], {"stroke": "red"}], [[[13.3, 0.3336], [14.7, 0.3336]], {"stroke": "red"}], [[[15, 0.339544], [15, 0.341656]], {"stroke": "red"}], [[[14.3, 0.3406], [15.7, 0.3406]], {"stroke": "red"}], [[[16, 0.341044], [16, 0.343156]], {"stroke": "red"}], [[[15.3, 0.3421], [16.7, 0.3421]], {"stroke": "red"}], [[[17, 0.311744], [17, 0.313856]], {"stroke": "red"}], [[[16.3, 0.3128], [17.7, 0.3128]], {"stroke": "red"}], [[[18, 0.330744], [18, 0.332856]], {"stroke": "red"}], [[[17.3, 0.3318], [18.7, 0.3318]], {"stroke": "red"}], [[[19, 0.340544], [19, 0.342656]], {"stroke": "red"}], [[[18.3, 0.3416], [19.7, 0.3416]], {"stroke": "red"}], [[[20, 0.328744], [20, 0.330856]], {"stroke": "red"}], [[[19.3, 0.3298], [20.7, 0.3298]], {"stroke": "red"}], [[[21, 0.329844], [21, 0.33195600000000003]], {"stroke": "red"}], [[[20.3, 0.3309], [21.7, 0.3309]], {"stroke": "red"}], [[[22, 0.340444], [22, 0.342556]], {"stroke": "red"}], [[[21.3, 0.3415], [22.7, 0.3415]], {"stroke": "red"}], [[[23, 0.318844], [23, 0.320956]], {"stroke": "red"}], [[[22.3, 0.3199], [23.7, 0.3199]], {"stroke": "red"}], [[[24, 0.335844], [24, 0.337956]], {"stroke": "red"}], [[[23.3, 0.3369], [24.7, 0.3369]], {"stroke": "red"}], [[[25, 0.341144], [25, 0.343256]], {"stroke": "red"}], [[[24.3, 0.3422], [25.7, 0.3422]], {"stroke": "red"}], [[[26, 0.337744], [26, 0.339856]], {"stroke": "red"}], [[[25.3, 0.3388], [26.7, 0.3388]], {"stroke": "red"}], [[[27, 0.355644], [27, 0.357756]], {"stroke": "red"}], [[[26.3, 0.3567], [27.7, 0.3567]], {"stroke": "red"}], [[[28, 0.325844], [28, 0.327956]], {"stroke": "red"}], [[[27.3, 0.3269], [28.7, 0.3269]], {"stroke": "red"}], [[[29, 0.373944], [29, 0.376056]], {"stroke": "red"}], [[[28.3, 0.375], [29.7, 0.375]], {"stroke": "red"}], [[[30, 0.354244], [30, 0.356356]], {"stroke": "red"}], [[[29.3, 0.3553], [30.7, 0.3553]], {"stroke": "red"}], [[[31, 0.35554399999999997], [31, 0.357656]], {"stroke": "red"}], [[[30.3, 0.3566], [31.7, 0.3566]], {"stroke": "red"}], [[[32, 0.355744], [32, 0.357856]], {"stroke": "red"}], [[[31.3, 0.3568], [32.7, 0.3568]], {"stroke": "red"}], [[[33, 0.373944], [33, 0.376056]], {"stroke": "red"}], [[[32.3, 0.375], [33.7, 0.375]], {"stroke": "red"}], [[[34, 0.334444], [34, 0.336556]], {"stroke": "red"}], [[[33.3, 0.3355], [34.7, 0.3355]], {"stroke": "red"}], [[[35, 0.373944], [35, 0.376056]], {"stroke": "red"}], [[[34.3, 0.375], [35.7, 0.375]], {"stroke": "red"}], [[[36, 0.349144], [36, 0.351256]], {"stroke": "red"}], [[[35.3, 0.3502], [36.7, 0.3502]], {"stroke": "red"}], [[[37, 0.317344], [37, 0.319456]], {"stroke": "red"}], [[[36.3, 0.3184], [37.7, 0.3184]], {"stroke": "red"}], [[[38, 0.319944], [38, 0.322056]], {"stroke": "red"}], [[[37.3, 0.321], [38.7, 0.321]], {"stroke": "red"}], [[[39, 0.318544], [39, 0.320656]], {"stroke": "red"}], [[[38.3, 0.3196], [39.7, 0.3196]], {"stroke": "red"}], [[[40, 0.351244], [40, 0.353356]], {"stroke": "red"}], [[[39.3, 0.3523], [40.7, 0.3523]], {"stroke": "red"}], [[[41, 0.364344], [41, 0.366456]], {"stroke": "red"}], [[[40.3, 0.3654], [41.7, 0.3654]], {"stroke": "red"}], [[[42, 0.324044], [42, 0.326156]], {"stroke": "red"}], [[[41.3, 0.3251], [42.7, 0.3251]], {"stroke": "red"}], [[[43, 0.315744], [43, 0.317856]], {"stroke": "red"}], [[[42.3, 0.3168], [43.7, 0.3168]], {"stroke": "red"}], [[[44, 0.322344], [44, 0.324456]], {"stroke": "red"}], [[[43.3, 0.3234], [44.7, 0.3234]], {"stroke": "red"}], [[[45, 0.336644], [45, 0.338756]], {"stroke": "red"}], [[[44.3, 0.3377], [45.7, 0.3377]], {"stroke": "red"}], [[[46, 0.370144], [46, 0.372256]], {"stroke": "red"}], [[[45.3, 0.3712], [46.7, 0.3712]], {"stroke": "red"}], [[[47, 0.333844], [47, 0.335956]], {"stroke": "red"}], [[[46.3, 0.3349], [47.7, 0.3349]], {"stroke": "red"}], [[[48, 0.330244], [48, 0.332356]], {"stroke": "red"}], [[[47.3, 0.3313], [48.7, 0.3313]], {"stroke": "red"}], [[[49, 0.340244], [49, 0.342356]], {"stroke": "red"}], [[[48.3, 0.3413], [49.7, 0.3413]], {"stroke": "red"}], [[[50, 0.354444], [50, 0.356556]], {"stroke": "red"}], [[[49.3, 0.3555], [50.7, 0.3555]], {"stroke": "red"}], [[[51, 0.336744], [51, 0.338856]], {"stroke": "red"}], [[[50.3, 0.3378], [51.7, 0.3378]], {"stroke": "red"}], [[[52, 0.322744], [52, 0.324856]], {"stroke": "red"}], [[[51.3, 0.3238], [52.7, 0.3238]], {"stroke": "red"}], [[[53, 0.343544], [53, 0.345656]], {"stroke": "red"}], [[[52.3, 0.3446], [53.7, 0.3446]], {"stroke": "red"}], [[[54, 0.334944], [54, 0.337056]], {"stroke": "red"}], [[[53.3, 0.336], [54.7, 0.336]], {"stroke": "red"}], [[[55, 0.354644], [55, 0.356756]], {"stroke": "red"}], [[[54.3, 0.3557], [55.7, 0.3557]], {"stroke": "red"}], [[[56, 0.358744], [56, 0.360856]], {"stroke": "red"}], [[[55.3, 0.3598], [56.7, 0.3598]], {"stroke": "red"}], [[[57, 0.335544], [57, 0.337656]], {"stroke": "red"}], [[[56.3, 0.3366], [57.7, 0.3366]], {"stroke": "red"}], [[[58, 0.329344], [58, 0.33145600000000003]], {"stroke": "red"}], [[[57.3, 0.3304], [58.7, 0.3304]], {"stroke": "red"}], [[[59, 0.320344], [59, 0.322456]], {"stroke": "red"}], [[[58.3, 0.3214], [59.7, 0.3214]], {"stroke": "red"}], [[[60, 0.357044], [60, 0.359156]], {"stroke": "red"}], [[[59.3, 0.3581], [60.7, 0.3581]], {"stroke": "red"}], [[[61, 0.361144], [61, 0.363256]], {"stroke": "red"}], [[[60.3, 0.3622], [61.7, 0.3622]], {"stroke": "red"}], [[[62, 0.363444], [62, 0.365556]], {"stroke": "red"}], [[[61.3, 0.3645], [62.7, 0.3645]], {"stroke": "red"}], [[[63, 0.35654399999999997], [63, 0.358656]], {"stroke": "red"}], [[[62.3, 0.3576], [63.7, 0.3576]], {"stroke": "red"}], [[[64, 0.330544], [64, 0.332656]], {"stroke": "red"}], [[[63.3, 0.3316], [64.7, 0.3316]], {"stroke": "red"}], [[[65, 0.347244], [65, 0.349356]], {"stroke": "red"}], [[[64.3, 0.3483], [65.7, 0.3483]], {"stroke": "red"}], [[[66, 0.31774399999999997], [66, 0.319856]], {"stroke": "red"}], [[[65.3, 0.3188], [66.7, 0.3188]], {"stroke": "red"}], [[[67, 0.358844], [67, 0.360956]], {"stroke": "red"}], [[[66.3, 0.3599], [67.7, 0.3599]], {"stroke": "red"}], [[[68, 0.322444], [68, 0.324556]], {"stroke": "red"}], [[[67.3, 0.3235], [68.7, 0.3235]], {"stroke": "red"}], [[[69, 0.321444], [69, 0.323556]], {"stroke": "red"}], [[[68.3, 0.3225], [69.7, 0.3225]], {"stroke": "red"}], [[[70, 0.322044], [70, 0.324156]], {"stroke": "red"}], [[[69.3, 0.3231], [70.7, 0.3231]], {"stroke": "red"}], [[[71, 0.351844], [71, 0.353956]], {"stroke": "red"}], [[[70.3, 0.3529], [71.7, 0.3529]], {"stroke": "red"}], [[[72, 0.31774399999999997], [72, 0.319856]], {"stroke": "red"}], [[[71.3, 0.3188], [72.7, 0.3188]], {"stroke": "red"}], [[[73, 0.359844], [73, 0.361956]], {"stroke": "red"}], [[[72.3, 0.3609], [73.7, 0.3609]], {"stroke": "red"}], [[[74, 0.34294399999999997], [74, 0.345056]], {"stroke": "red"}], [[[73.3, 0.344], [74.7, 0.344]], {"stroke": "red"}], [[[75, 0.345344], [75, 0.347456]], {"stroke": "red"}], [[[74.3, 0.3464], [75.7, 0.3464]], {"stroke": "red"}], [[[76, 0.338744], [76, 0.340856]], {"stroke": "red"}], [[[75.3, 0.3398], [76.7, 0.3398]], {"stroke": "red"}], [[[77, 0.346044], [77, 0.348156]], {"stroke": "red"}], [[[76.3, 0.3471], [77.7, 0.3471]], {"stroke": "red"}], [[[78, 0.342044], [78, 0.344156]], {"stroke": "red"}], [[[77.3, 0.3431], [78.7, 0.3431]], {"stroke": "red"}], [[[79, 0.318544], [79, 0.320656]], {"stroke": "red"}], [[[78.3, 0.3196], [79.7, 0.3196]], {"stroke": "red"}], [[[80, 0.339844], [80, 0.341956]], {"stroke": "red"}], [[[79.3, 0.3409], [80.7, 0.3409]], {"stroke": "red"}], [[[81, 0.334944], [81, 0.337056]], {"stroke": "red"}], [[[80.3, 0.336], [81.7, 0.336]], {"stroke": "red"}], [[[82, 0.337344], [82, 0.339456]], {"stroke": "red"}], [[[81.3, 0.3384], [82.7, 0.3384]], {"stroke": "red"}], [[[83, 0.311744], [83, 0.313856]], {"stroke": "red"}], [[[82.3, 0.3128], [83.7, 0.3128]], {"stroke": "red"}], [[[84, 0.348044], [84, 0.350156]], {"stroke": "red"}], [[[83.3, 0.3491], [84.7, 0.3491]], {"stroke": "red"}], [[[85, 0.345844], [85, 0.347956]], {"stroke": "red"}], [[[84.3, 0.3469], [85.7, 0.3469]], {"stroke": "red"}], [[[86, 0.331644], [86, 0.333756]], {"stroke": "red"}], [[[85.3, 0.3327], [86.7, 0.3327]], {"stroke": "red"}], [[[87, 0.318844], [87, 0.320956]], {"stroke": "red"}], [[[86.3, 0.3199], [87.7, 0.3199]], {"stroke": "red"}], [[[88, 0.358144], [88, 0.360256]], {"stroke": "red"}], [[[87.3, 0.3592], [88.7, 0.3592]], {"stroke": "red"}], [[[89, 0.320044], [89, 0.322156]], {"stroke": "red"}], [[[88.3, 0.3211], [89.7, 0.3211]], {"stroke": "red"}], [[[90, 0.345044], [90, 0.347156]], {"stroke": "red"}], [[[89.3, 0.3461], [90.7, 0.3461]], {"stroke": "red"}], [[[91, 0.373944], [91, 0.376056]], {"stroke": "red"}], [[[90.3, 0.375], [91.7, 0.375]], {"stroke": "red"}], [[[92, 0.342744], [92, 0.344856]], {"stroke": "red"}], [[[91.3, 0.3438], [92.7, 0.3438]], {"stroke": "red"}], [[[93, 0.333544], [93, 0.335656]], {"stroke": "red"}], [[[92.3, 0.3346], [93.7, 0.3346]], {"stroke": "red"}], [[[94, 0.338344], [94, 0.340456]], {"stroke": "red"}], [[[93.3, 0.3394], [94.7, 0.3394]], {"stroke": "red"}], [[[95, 0.34344399999999997], [95, 0.345556]], {"stroke": "red"}], [[[94.3, 0.3445], [95.7, 0.3445]], {"stroke": "red"}], [[[96, 0.371544], [96, 0.373656]], {"stroke": "red"}], [[[95.3, 0.3726], [96.7, 0.3726]], {"stroke": "red"}], [[[97, 0.314544], [97, 0.316656]], {"stroke": "red"}], [[[96.3, 0.3156], [97.7, 0.3156]], {"stroke": "red"}], [[[98, 0.336444], [98, 0.338556]], {"stroke": "red"}], [[[97.3, 0.3375], [98.7, 0.3375]], {"stroke": "red"}], [[[99, 0.367044], [99, 0.369156]], {"stroke": "red"}], [[[98.3, 0.3681], [99.7, 0.3681]], {"stroke": "red"}], [[[100, 0.362644], [100, 0.364756]], {"stroke": "red"}], [[[99.3, 0.3637], [100.7, 0.3637]], {"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.