From 9ca8e7ee35aa784f96ea59fba99dfe3b49d8dd12 Mon Sep 17 00:00:00 2001 From: Bertrand Benjamin Date: Tue, 4 Apr 2023 18:46:48 +0200 Subject: [PATCH] Feat(2nd): DS6 --- 2nd/Evaluations/DS_2023-04-06/camion1.csv | 6 + 2nd/Evaluations/DS_2023-04-06/camion2.csv | 6 + 2nd/Evaluations/DS_2023-04-06/fig/cartes.png | Bin 0 -> 475818 bytes 2nd/Evaluations/DS_2023-04-06/petrole.csv | 3 + 2nd/Evaluations/DS_2023-04-06/petrole_raw.csv | 21 + .../DS_2023-04-06/scripts/moyenne.py | 2 + 2nd/Evaluations/DS_2023-04-06/source.pdf | Bin 0 -> 537466 bytes 2nd/Evaluations/DS_2023-04-06/source.tex | 439 ++++++++++++++++++ 8 files changed, 477 insertions(+) create mode 100644 2nd/Evaluations/DS_2023-04-06/camion1.csv create mode 100644 2nd/Evaluations/DS_2023-04-06/camion2.csv create mode 100644 2nd/Evaluations/DS_2023-04-06/fig/cartes.png create mode 100644 2nd/Evaluations/DS_2023-04-06/petrole.csv create mode 100644 2nd/Evaluations/DS_2023-04-06/petrole_raw.csv create mode 100644 2nd/Evaluations/DS_2023-04-06/scripts/moyenne.py create mode 100644 2nd/Evaluations/DS_2023-04-06/source.pdf create mode 100644 2nd/Evaluations/DS_2023-04-06/source.tex diff --git a/2nd/Evaluations/DS_2023-04-06/camion1.csv b/2nd/Evaluations/DS_2023-04-06/camion1.csv new file mode 100644 index 0000000..388a223 --- /dev/null +++ b/2nd/Evaluations/DS_2023-04-06/camion1.csv @@ -0,0 +1,6 @@ +Nombre de camions,Effectif +15,3 +22,18 +25,20 +30,11 +45,5 diff --git a/2nd/Evaluations/DS_2023-04-06/camion2.csv b/2nd/Evaluations/DS_2023-04-06/camion2.csv new file mode 100644 index 0000000..ccec046 --- /dev/null +++ b/2nd/Evaluations/DS_2023-04-06/camion2.csv @@ -0,0 +1,6 @@ +Nombre de camions,Effectif +10,15 +20,12 +25,13 +30,11 +40,10 diff --git a/2nd/Evaluations/DS_2023-04-06/fig/cartes.png b/2nd/Evaluations/DS_2023-04-06/fig/cartes.png new file mode 100644 index 0000000000000000000000000000000000000000..6eafd86f22f5c607705ddbe5610ce1ccc5176494 GIT binary patch literal 475818 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b/2nd/Evaluations/DS_2023-04-06/source.tex @@ -0,0 +1,439 @@ +\documentclass[a4paper]{article} +\usepackage[francais,bloc,completemulti]{automultiplechoice} +\usepackage{base} +\usepackage{base} +\geometry{left=10mm,right=10mm,top=5mm,bottom=10mm} +\usepackage{csvsimple} +\usepackage{pgfplots} +\usepackage{pgfplotstable} +\pgfplotsset{compat=1.9} +\usepackage{minted} + + +\begin{document} + +% barème question simple +\baremeDefautS{b=1,m=0,e=0,v=0} +% barème question multiple +%\baremeDefautM{b=1,m=0.5,p=0,e=0,v=0} + +%%% debut de l'en-tête des copies : + +%%% fin de l'en-tête + +% -------------------- +% Statistiques + + +\element{statistiques}{ + \begin{questionmult}{indicateurV1} + Quels sont les indicateurs justes pour la ville 1? + + \begin{reponseshoriz} + \bonne{L'effectif total est de 57} + \mauvaise{L'effectif total est de 1496} + \mauvaise{L'effectif total est de 5} + \bonne{$\overline{x} \approx 26$} + \mauvaise{$\overline{x} \approx 25$} + \end{reponseshoriz} + \end{questionmult} +} + +\element{statistiques}{ + \begin{questionmult}{indicateurV2} + Quels sont les indicateurs justes pour la ville 2? + + \begin{reponseshoriz} + \bonne{L'effectif total est de 1445} + \mauvaise{L'effectif total est de 5} + \bonne{$\overline{x} \approx 24$} + \bonne{L'étendu est de 30.} + \end{reponseshoriz} + \end{questionmult} +} + +\element{statistiques}{ +\begin{question}{positionQ1} + Pour la ville 1, la position du premier quartile est + \begin{reponseshoriz} + \bonne{La 15e valeur} + \mauvaise{La 19e valeur} + \mauvaise{22} + \mauvaise{La 14e valeur} + \end{reponseshoriz} +\end{question} +} + +\element{statistiques}{ +\begin{question}{positionQ3} + Pour la ville 1, la position de Q3 est + \begin{reponseshoriz} + \bonne{La 46e valeur} + \mauvaise{La 12e valeur} + \mauvaise{La 30e valeur} + \mauvaise{La 45e valeur} + \end{reponseshoriz} +\end{question} +} + +\element{statistiques}{ +\begin{question}{programmation} + Quel indicateur calcule le programme suivant + \begin{center} + \begin{minipage}{0.5\linewidth} + \inputminted{python}{./scripts/moyenne.py} + \end{minipage} + \end{center} + \begin{reponses} + \bonne{La moyenne des valeurs de la liste \mintinline{python}{nombre_camions}} + \mauvaise{La moyenne du nombre de camion qui est passé dans la ville1} + \mauvaise{On ne peut pas savoir.} + \mauvaise{La somme et la longueur d'une liste.} + \end{reponses} +\end{question} +} + + + +% ------------------- +% Information chiffrée + +\element{IC}{ + \begin{question}{txEvo} + Quel est le taux d'évolution du prix du baril entre 2010 et 2011? + + \begin{reponseshoriz} + \bonne{$28\%$} + \mauvaise{$21\%$} + \mauvaise{$0.05\%$} + \mauvaise{$127\%$} + \end{reponseshoriz} + \end{question} +} + +\element{IC}{ + \begin{question}{txEvoDirect} + Entre 2015 et 2016, le prix du baril a diminué de 39\%. Quel était le prix du baril en janvier 2016? + + \begin{reponseshoriz} + \bonne{$30.6\euro$} + \mauvaise{$49.7\euro$} + \mauvaise{$69.6\euro$} + \mauvaise{$50.5\euro$} + \end{reponseshoriz} + \end{question} +} + +\element{IC}{ + \begin{question}{EvoGlobal} + Quel a été le taux d'évolution global entre janvier 2010 et janvier 2022? + \begin{reponseshoriz} + \bonne{$13\%$} + \mauvaise{$-11\%$} + \mauvaise{$11\%$} + \mauvaise{$10\%$} + \end{reponseshoriz} + \end{question} +} + +\element{IC}{ + \begin{question}{EvoSucc} + Quel a été le taux d'évolution global entre janvier 2011 et janvier 2014? + \begin{reponseshoriz} + \bonne{$9.4\%$} + \mauvaise{$10\%$} + \mauvaise{$18\%$} + \mauvaise{$109\%$} + \end{reponseshoriz} + \end{question} +} + +\element{IC}{ + \begin{question}{EvoSucc2} + On suppose que le prix du baril de pétrole augmente de 10\% chaque année après 2022. Quel sera son prix en 2027? + \begin{reponseshoriz} + \bonne{$139\euro$} + \mauvaise{$136.5\euro$} + \mauvaise{$87\euro$} + \mauvaise{$51\euro$} + \end{reponseshoriz} + \end{question} +} + +\element{IC}{ + \begin{question}{EvoRecip} + Entre janvier 2016 et janvier 2017, le prix du baril a augmenté de 25\%. Quel était le prix du baril en janvier 2016? + \begin{reponseshoriz} + \bonne{$55.3$} + \mauvaise{$86.4$} + \mauvaise{$51.8$} + \mauvaise{$68.85$} + \end{reponseshoriz} + \end{question} +} + +% ------ +% Intervalle et inéquation + + +\element{ensP}{ +\begin{question}{probaSimple} + Quel est la probabilité d'avoir une fille? + \begin{reponseshoriz} + \bonne{$P(F)= \frac{18}{30}$}\bareme{b=1} + \mauvaise{$F= \frac{18}{30}$}\bareme{b=0.5} + \mauvaise{$F= \frac{4}{18}$}\bareme{b=0.5} + \mauvaise{$(P)F= \frac{18}{30}$} + \mauvaise{$\frac{4}{18}$} + \mauvaise{$\frac{18}{30}$}\bareme{b=0.5} + \end{reponseshoriz} +\end{question} +} + + +\element{ensP}{ +\begin{question}{probaInter} + Quel est la probabilité d'avoir une fille qui est externe? + \begin{reponseshoriz} + \bonne{$P(F\cap E)= \frac{4}{30}$}\bareme{b=1} + \mauvaise{$F\cap E= \frac{4}{30}$}\bareme{b=0.5} + \mauvaise{$P(F\cap E)= \frac{4}{18}$}\bareme{b=0.5} + \mauvaise{$P(F\cup E)= \frac{4}{18}$} + \mauvaise{$F\cup E= \frac{12}{30}$} + \end{reponseshoriz} +\end{question} +} + +\element{ensP}{ +\begin{question}{probaCompl} + Quel est la probabilité d'avoir un élève qui n'est pas interne? + \begin{reponseshoriz} + \bonne{$P(\overline{I})= \frac{28}{30}$}\bareme{b=1} + \mauvaise{$\overline{I}= \frac{28}{30}$}\bareme{b=0.5} + \mauvaise{$P(\cap I)= \frac{0}{18}$} + \mauvaise{$P(\cup I)= \frac{0}{30}$} + \mauvaise{$P(E)= \frac{8}{30}$} + \mauvaise{$\overline{I}= \frac{2}{28}$} + \end{reponseshoriz} +\end{question} +} + +\element{ensP}{ +\begin{question}{probaCompl2} + Quel est la probabilité d'avoir un élève qui n'est pas demi-pensionnaires? + \begin{reponseshoriz} + \bonne{$P(E\cup I)= \frac{10}{30}$}\bareme{b=1} + \mauvaise{$P(E\cap I)= \frac{10}{30}$}\bareme{b=0.5} + \mauvaise{$P(\overline{E} \overline{I})= \frac{10}{30}$} + \mauvaise{$\overline{E}\cap \overline{I})= \frac{10}{30}$} + \mauvaise{Impossible} + \end{reponseshoriz} +\end{question} +} + +\element{ensP}{ +\begin{question}{probaUnion} + Quel est la probabilité que l'élève soit un garçon ou qu'il soit externe? + \begin{reponseshoriz} + \bonne{$P(\overline{F}\cup E)= \frac{16}{30}$}\bareme{b=1} + \mauvaise{$P(\overline{F}\cup E)= \frac{20}{30}$} + \mauvaise{$\overline{F} \cup E= \frac{20}{30}$}\bareme{b=0.5} + \mauvaise{$P(\overline{E}\cap E)= \frac{4}{30}$} + \mauvaise{Impossible} + \end{reponseshoriz} +\end{question} +} + + +\element{ens}{ + \begin{question}{DiagrammeVenn} + Tracer le diagramme de Venn en ne représentant que les ensembles $\Omeg$, A et B et les quantités des groupes. + \AMCOpen{lines=4, scan=false, dots=false}{ + \wrongchoice[F]{Faux}\scoring{0} + \wrongchoice[P]{Des choses justes}\scoring{0.5} + \correctchoice[J]{Tout juste}\scoring{1} + } + \end{question} +} + +\element{ens}{ +\begin{questionmult}{appartientInclus} + Cocher les affirmations qui sont vraies + \begin{reponseshoriz} + \bonne{$A \subset \Omega$} + \bonne{$\left(\mbox{10 de coeur}\right) \in A$} + \bonne{$\left(\mbox{10 de pique}\right) \in \Omega$} + \mauvaise{$A \in \Omega$} + \mauvaise{$\left(\mbox{10 de pique}\right) \in A$} + \mauvaise{$\Omega \subset A$} + \end{reponseshoriz} +\end{questionmult} +} + +\element{ens}{ +\begin{questionmult}{interInclus} + Cocher les affirmations qui sont vraies + \begin{reponseshoriz} + \bonne{$A\cap B \subset \Omega$} + \mauvaise{$A\cap B \in \Omega$} + \bonne{$A\cap B \subset B$} + \mauvaise{$A\cap B \in B$} + \bonne{$A\cap B \subset A$} + \mauvaise{$A\cap B \in A$} + \end{reponseshoriz} +\end{questionmult} +} + +\element{ens}{ +\begin{questionmult}{interInclus} + Cocher les affirmations qui sont vraies + \begin{reponseshoriz} + \bonne{$A\cup B \subset \Omega$} + \mauvaise{$A\cup B \in \Omega$} + \mauvaise{$A\cup B \subset B$} + \mauvaise{$A\cup B \in B$} + \mauvaise{$A\cup B \subset A$} + \mauvaise{$A\cup B \in A$} + \end{reponseshoriz} +\end{questionmult} +} + + +\exemplaire{1}{ +\noindent{\bf QCM \hfill DS6} + +\begin{minipage}{.4\linewidth} +\centering\Large\bf DS6 - 2GT1\\ 6 avril 2022 + +%\normalsize Durée : 10 minutes. +\end{minipage} +\begin{minipage}{.6\linewidth} +\champnom{% + \fbox{ + \begin{minipage}{0.8\linewidth} + Nom, prénom, classe: + + \vspace*{.5cm}\dotfill + \vspace*{1mm} + \end{minipage} + } + + } + + %\AMCcodeGridInt[h]{etu}{2} +\end{minipage} + + +Les questions faisant apparaître le symbole \multiSymbole{} peuvent présenter une ou plusieurs bonnes réponses. + +\section{Statistiques} + +On a réalisé deux études statistiques portant sur le nombre de camion passant par jour dans deux communes différentes. + +\begin{minipage}{0.5\linewidth} + \begin{center} + \csvautotabular{./camion1.csv} + + \textbf{Résultats pour la ville 1} + \end{center} +\end{minipage} +\begin{minipage}{0.5\linewidth} + \begin{center} + \begin{tikzpicture}[yscale=0.5, every node/.style={yscale=2}] + \begin{axis}[ + ybar, + grid, + xlabel={Nombre de camions}, + xtick distance=5, + ylabel={Effectif} + ] + \addplot table [x={Nombre de camions}, y={Effectif}, col sep=comma] {./camion2.csv}; + \end{axis} + \end{tikzpicture} + + \textbf{Résultats pour la ville 2} + \end{center} +\end{minipage} + +\medskip + +\restituegroupe{statistiques} + +\pagebreak + +\section{Au lycée} + +Les questions de cette partie sont indépendantes mais porterons toutes sur le tableau ci-dessous. + + \begin{center} + \begin{tabular}{|*{5}{c|}} + \hline + & Externes & Demi-pensionnaires & Internes & Total \\ + \hline + Filles & 4 & 12 & 2 & 18 \\ + \hline + Garçons & 4 & 8 & 0 & 12 \\ + \hline + Total & 8 & 20 & 2 & 30 \\ + \hline + \end{tabular} + \end{center} + +On utilisera les ensembles suivants pour répondre aux questions. + +\begin{multicols}{3} + \begin{itemize} + \item F = "L'élève est une fille" + \item E = "L'élève est externe" + \item I = "L'élève est interne" + \end{itemize} +\end{multicols} + + +On choisit un élève au hasard. +\medskip + +\restituegroupe{ensP} + +\section{Jeux de cartes} + + +\begin{minipage}{0.5\linewidth} + On s'intéresse maintenant au jeux de cartes suivant. + + On souhaite tirer une carte au hasard. On nomme les ensembles suivants + \begin{itemize} + \item $\Omega$ l'univers + \item A = "La carte est un coeur" + \item B = "La carte est un 10" + \end{itemize} +\end{minipage} +\begin{minipage}{0.5\linewidth} + \includegraphics[scale=0.4]{./fig/cartes} +\end{minipage} + +\pagebreak +\begin{multicols}{2} + \restituegroupe{ens} +\end{multicols} + +\section{Prix du baril} + +Les questions de cette partie sont indépendantes mais porterons toutes sur le tableau qui décrit l'évolution du prix du baril de pétrole brut au mois de janvier de chaque année. + +Les taux d'évolution ont été arrondis à l'unité. + +\begin{center} + \catcode`\%=12 + \csvautotabular{./petrole.csv} +\end{center} + +\begin{multicols}{2} + \restituegroupe{IC} +\end{multicols} + + +\pagebreak +} + +\end{document}