fichiers stats TI et casio
authorDenise <dmaurice@phare.normalesup.org>
Fri, 13 Nov 2015 21:30:28 +0000 (22:30 +0100)
committerDenise <dmaurice@phare.normalesup.org>
Fri, 13 Nov 2015 21:30:28 +0000 (22:30 +0100)
corrigé interro

54 files changed:
.gitignore
1ere/chapitre3_stats/statsCasio.pdf [new file with mode: 0644]
1ere/chapitre3_stats/statsCasio.tex [new file with mode: 0644]
1ere/chapitre3_stats/statsTI.pdf [new file with mode: 0644]
1ere/chapitre3_stats/statsTI.tex [new file with mode: 0644]
2nde/calcul_mental/develfact.nav [deleted file]
2nde/calcul_mental/develfact.out [deleted file]
2nde/calcul_mental/develfact.snm [deleted file]
2nde/calcul_mental/develfact.toc [deleted file]
2nde/calcul_mental/develfact2.nav [deleted file]
2nde/calcul_mental/develfact2.out [deleted file]
2nde/calcul_mental/develfact2.snm [deleted file]
2nde/calcul_mental/develfact2.toc [deleted file]
2nde/calcul_mental/fonctions.nav [deleted file]
2nde/calcul_mental/fonctions.out [deleted file]
2nde/calcul_mental/fonctions.snm [deleted file]
2nde/calcul_mental/fonctions.toc [deleted file]
2nde/calcul_mental/fractions.nav [deleted file]
2nde/calcul_mental/fractions.out [deleted file]
2nde/calcul_mental/fractions.snm [deleted file]
2nde/calcul_mental/fractions.toc [deleted file]
2nde/calcul_mental/geometrierep.nav [deleted file]
2nde/calcul_mental/geometrierep.out [deleted file]
2nde/calcul_mental/geometrierep.snm [deleted file]
2nde/calcul_mental/geometrierep.toc [deleted file]
2nde/calcul_mental/intervalles.nav [deleted file]
2nde/calcul_mental/intervalles.out [deleted file]
2nde/calcul_mental/intervalles.snm [deleted file]
2nde/calcul_mental/intervalles.toc [deleted file]
2nde/calcul_mental/lirestats.nav [deleted file]
2nde/calcul_mental/lirestats.out [deleted file]
2nde/calcul_mental/lirestats.snm [deleted file]
2nde/calcul_mental/lirestats.toc [deleted file]
2nde/calcul_mental/puissances.nav [deleted file]
2nde/calcul_mental/puissances.out [deleted file]
2nde/calcul_mental/puissances.snm [deleted file]
2nde/calcul_mental/puissances.toc [deleted file]
2nde/calcul_mental/resolutionsgraphiques.nav [deleted file]
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2nde/calcul_mental/resolutionsgraphiques.snm [deleted file]
2nde/calcul_mental/resolutionsgraphiques.toc [deleted file]
2nde/calcul_mental/stats.pdf [new file with mode: 0644]
2nde/calcul_mental/stats.tex [new file with mode: 0644]
2nde/chapitre3_stats/statsTI.pdf [new file with mode: 0644]
2nde/chapitre3_stats/statsTI.tex
2nde/interro_11-13/graphe_A.pdf [new file with mode: 0644]
2nde/interro_11-13/graphe_A.svg [new file with mode: 0644]
2nde/interro_11-13/graphe_B.pdf [new file with mode: 0644]
2nde/interro_11-13/graphe_B.svg [new file with mode: 0644]
2nde/interro_11-13/interroA_sol.pdf [new file with mode: 0644]
2nde/interro_11-13/interroA_sol.tex [new file with mode: 0644]
2nde/interro_11-13/interroB_sol.pdf [new file with mode: 0644]
2nde/interro_11-13/interroB_sol.tex [new file with mode: 0644]
header_a5.tex

index fd94db929cb020d7777add00ec076c8805e0df76..9969b66ee4c8280cd2ee5ce2d2634f9286fe94f8 100644 (file)
@@ -1,3 +1,7 @@
 *~
 *.log
 *.aux
+*.nav
+*.snm
+*.toc
+*.out
diff --git a/1ere/chapitre3_stats/statsCasio.pdf b/1ere/chapitre3_stats/statsCasio.pdf
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diff --git a/1ere/chapitre3_stats/statsCasio.tex b/1ere/chapitre3_stats/statsCasio.tex
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--- /dev/null
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+\input{../../header_a5.tex}
+
+\begin{document}
+\section*{Casio et stats~: aide-mémoire}
+
+\subsection*{Entrer des données dans des listes}
+\begin{itemize2}
+\item \bouton{Menu} \bouton{2} (Stat)~: se placer dans le menu STAT
+\item Entrer alors les valeurs voulues dans la/les liste(s).
+\end{itemize2}
+
+\emph{Remarque~:}\\
+{\small si les listes existent déjà, pour les effacer~: \\
+Se placer sur la liste à supprimer, puis \bouton{F6} ($\triangleright$) \bouton{F4} (DEL-A) \bouton{F1} (YES)
+}
+
+\subsection*{Calculs}
+\begin{itemize2}
+\item Aller dans le menu STAT si ce n'est pas déjà fait
+\item \bouton{F2} (CALC) \bouton{F6} (SET) (si on ne voit pas le "CALC", alors faire \bouton{F6} pour faire défiler le menu en bas).
+\item Choisir, pour "1Var XList" et "1Var Freq" les listes de valeurs et d'effectifs (les listes sont dans les raccourcis \bouton{F1}, \bouton{F2}, etc).
+\item Revenir au menu précédent~: \bouton{EXIT}
+\item \bouton{F1} (1VAR)
+\end{itemize2}
+
+\emph{Remarques~:}\\
+{\small
+Si on n'a pas de liste d'effectifs (tous les effectifs égaux à 1), alors il faut mettre "1" pour "1Var Freq"
+}
+
+{\bf {\sc Attention~!}} La moyenne, la médiane et l'écart-type données par la calculatrice sont justes, les quartiles ne le sont pas toujours~!
+
+\end{document}
diff --git a/1ere/chapitre3_stats/statsTI.pdf b/1ere/chapitre3_stats/statsTI.pdf
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diff --git a/1ere/chapitre3_stats/statsTI.tex b/1ere/chapitre3_stats/statsTI.tex
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+\input{../../header_a5.tex}
+
+\begin{document}
+\section*{TI et stats~: aide-mémoire}
+
+\subsection*{Entrer des données dans des listes}
+\begin{itemize2}
+\item \bouton{STATS} \bouton{1} (Modifier).
+\item Entrer alors les valeurs voulues dans la/les liste(s).
+\end{itemize2}
+
+\emph{Remarque~:}\\
+{\small si les listes existent déjà, pour les effacer~: \\
+\bouton{STATS} \bouton{4} (EffListe) \bouton{2nde} et le numéro de la liste voulue, \bouton{Entrer}
+}
+
+\subsection*{Calculs}
+\begin{itemize2}
+\item \bouton{Stats} \bouton{$\blacktriangleright$} \bouton{1} (Stats 1-Var)
+\item Entrer la liste des valeurs ( \bouton{2nde} + numéro de la liste), puis \bouton{,} et la liste des effectifs
+\item \bouton{Entrer}
+\end{itemize2}
+
+\emph{Remarques~:}\\
+{\small
+Si on n'a pas de liste d'effectifs (tous les effectifs égaux à 1), alors il suffit de mettre juste "Stats 1-Var" et la liste, puis \bouton{Entrer}
+}
+
+{\bf {\sc Attention~!}} La moyenne, la médiane et l'écart-type données par la calculatrice sont justes, les quartiles ne le sont pas toujours~!
+
+\end{document}
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diff --git a/2nde/calcul_mental/puissances.toc b/2nde/calcul_mental/puissances.toc
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diff --git a/2nde/calcul_mental/stats.pdf b/2nde/calcul_mental/stats.pdf
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diff --git a/2nde/calcul_mental/stats.tex b/2nde/calcul_mental/stats.tex
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--- /dev/null
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+\input{../../header_beamer.tex}
+
+\begin{document}
+
+\slide{Statistiques~: fréquences (avec la calculatrice)}
+
+\newcommand\tableau{{
+\begin{tabular}{|c|c|c|c|c|}
+\hline
+Valeur & 1 & 4 & 5 & 6 \\
+\hline
+Fréquence & 0,2 & 0,5 & 0,15 & ~~~~ \\
+\hline
+\end{tabular}
+
+
+}}
+
+\slide{
+Voici le tableau (incomplet) des fréquences d'une série statistique.
+
+\tableau
+
+1) Compléter la fréquence manquante.
+
+}
+
+\slide{
+
+\tableau
+
+2) Quel est le \emph{pourcentage} de valeurs égales à $1$~?
+
+
+}
+
+\slide{
+
+\tableau
+
+3) Quel est la fréquence des valeurs inférieures ou égales à $5$~?
+
+}
+
+\slide{
+
+\tableau
+
+4) On donne l'effectif total~: $350$. Quel est l'effectif de la valeur $1$~?
+
+}
+
+\slide{
+
+\tableau
+
+5) On donne l'effectif de la valeur $4$~: $420$. Quel est l'effectif de la valeur $5$~?
+
+}
+
+\slide{
+\tableau
+
+\bigskip
+\bigskip
+
+\begin{enumerate}
+\item Compléter la fréquence manquante.
+\item Quel est le \emph{pourcentage} de valeurs égales à $1$~?
+\item Quel est la fréquence des valeurs inférieures ou égales à $5$~?
+\item On donne l'effectif total~: $350$. Quel est l'effectif de la valeur $1$~?
+\item On donne l'effectif de la valeur $4$~: $420$. Quel est l'effectif de la valeur $5$~?
+\end{enumerate}
+}
+
+
+\end{document}
diff --git a/2nde/chapitre3_stats/statsTI.pdf b/2nde/chapitre3_stats/statsTI.pdf
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@@ -1,5 +1,47 @@
 \input{../../header_a5.tex}
 
 \begin{document}
-\section*{Les stats avec la TI}
+\section*{TI et stats~: aide-mémoire}
+
+\subsection*{Entrer des données dans des listes}
+\begin{itemize2}
+\item \bouton{STATS} \bouton{1} (Modifier).
+\item Entrer alors les valeurs voulues dans la/les liste(s).
+\end{itemize2}
+
+\emph{Remarque~:}\\
+{\small si les listes existent déjà, pour les effacer~: \\
+\bouton{STATS} \bouton{4} (EffListe) \bouton{2nde} et le numéro de la liste voulue, \bouton{Entrer}
+}
+
+\subsection*{Graphique}
+\begin{itemize2}
+\item \bouton{2nde} \bouton{f(x)} (Graph Stats) et choisir son graphique
+\item Vérifier qu'il est bien sélectionné "Aff" (pour «~s'affiche~»)
+\item Choisir le type~: nuage de points, histogramme, ou diagramme en boîte
+\item Choisir les listes concernées~: XListe pour les valeurs, Fréq pour la liste des effectifs ou fréquences, avec \bouton{2nde} et le numéro de la liste.
+\item \bouton{Graphe} pour tracer.
+ \end{itemize2}
+
+\emph{Remarques~:}\\
+{\small Pour le nuage de points, il faut mettre en Xliste une liste contenant 1, 2, 3, 4, etc, et en Yliste la liste des valeurs.\\
+Pour «~effacer~» un graphique statistique, il faut aller le sélectionner dans le menu de graphes statistiques, puis sélectionner "NAff"\\
+Pour avoir automatiquement le bon zoom sur le graphique~: \bouton{Zoom} \bouton{9}
+}
+
+\subsection*{Calculs}
+\begin{itemize2}
+\item \bouton{Stats} \bouton{$\blacktriangleright$} \bouton{1} (Stats 1 Var)
+\item Sélectionner la liste pour les valeurs et la liste pour les fréquences
+\item Sélectionner "Calculer", \bouton{Entrer}
+\end{itemize2}
+
+\emph{Remarques~:}\\
+{\small
+Si la calculatrice n'a pas "l'assistant stats" (à choisir dans le menu \bouton{mode}), il faut écrire en face de "Stats 1 Var" la liste des valeurs, puis \bouton{,} la liste des effectifs, puis \bouton{Entrer}\\
+Si on n'a pas de liste d'effectifs (tous les effectifs égaux à 1), alors il suffit de ne pas les mettre.
+}
+
+{\bf {\sc Attention~!}} La moyenne et la médiane données par la calculatrice sont justes, les quartiles ne le sont pas toujours~!
+
 \end{document}
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diff --git a/2nde/interro_11-13/interroA_sol.tex b/2nde/interro_11-13/interroA_sol.tex
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+\input{../../header.tex}
+
+\corrigetrue
+
+\begin{document}
+\section*{Interrogation écrite du 13/11}
+\rouge{Corrigé -- Sujet A}
+
+Voici une série statistique~:
+
+\begin{tabular}{|c|c|c|c|c|c|}
+\hline
+Valeur & 4 & 5 & 6 & 8 & 9 \\
+\hline
+Effectif & 3 & 5 & 8 & 7 & 2 \\
+\hline
+\end{tabular}
+
+\begin{enumerate}
+\item Compléter les tableaux ci-dessous, avec les effectifs cumulés croissants, les fréquences, et les fréquences cumulées croissantes~: \bareme{4.5~: 0.3 par case}
+
+\begin{tabular}{|c|p{2cm}|p{2cm}|p{2cm}|p{2cm}|p{2cm}|}
+\hline
+Valeur & 4 & 5 & 6 & 8 & 9 \\
+\hline
+Effectif & 3 & 5 & 8 & 7 & 2 \\
+\hline
+Effectif cumulé croissant & \rouge{3} & \rouge{8}& \rouge{16} & \rouge{23} & \rouge{25} \\
+\hline
+\hline
+Fréquence & \rouge{$\frac{3}{25} = 0,12$} & \rouge{$0,2$} & \rouge{$0,32$} & \rouge{$0,28 $} & \rouge{$0,08$} \\
+\hline
+Fréquence cumulée croissante & \rouge{$0,12$}& \rouge{$0,32 $}& \rouge{$0,64$} & \rouge{$0,92$} & \rouge{$1$}\\
+\hline
+\end{tabular}
+
+\item Combien de valeurs sont inférieures ou égales à 6~? \bareme{1} \rouge{Réponse~: 16 valeurs.}
+\item Quelle est la fréquence des valeurs inférieures ou égales à 8~?\bareme{1} \rouge{Réponse~: $0,92$}
+\item Quelle est la fréquence des valeurs égales à 9~? \bareme{1} \rouge{Réponse~: $0,08$}
+
+\item Tracer ci-dessous l'histogramme qui représente cette série \bareme{1.5}
+
+\includegraphics[width=6cm]{graphe_A.pdf}
+
+\item Inventer une autre série statistique qui ait les \emph{mêmes} valeurs, et la \emph{même} distribution de fréquence, mais des effectifs \emph{différents}.\bareme{1}
+\rouge{
+Les valeurs doivent être les mêmes, et les fréquences les mêmes. Donc n'importe quels effectifs proportionnels à ceux de départ fonctionnent (par exemple, tout multiplié par 2, ou par 10)
+\begin{tabular}{|c|c|c|c|c|c|}
+\hline
+Valeur & 4 & 5 & 6 & 8 & 9 \\
+\hline
+Effectif & 30 & 50 & 80 & 70 & 20 \\
+\hline
+\end{tabular}
+
+}
+
+\end{enumerate}
+
+\end{document}
diff --git a/2nde/interro_11-13/interroB_sol.pdf b/2nde/interro_11-13/interroB_sol.pdf
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+\input{../../header.tex}
+
+\begin{document}
+\section*{Interrogation écrite du 13/11}
+\rouge{Corrigé -- Sujet B}
+
+Voici une série statistique~:
+
+\begin{tabular}{|c|c|c|c|c|c|}
+\hline
+Valeur & 4 & 5 & 7 & 8 & 9 \\
+\hline
+Effectif & 3 & 5 & 8 & 7 & 2 \\
+\hline
+\end{tabular}
+
+\begin{enumerate}
+\item Compléter les tableaux ci-dessous, avec les effectifs cumulés croissants, les fréquences, et les fréquences cumulées croissantes~: \bareme{4.5~: 0.3 par case}
+
+\begin{tabular}{|c|p{2cm}|p{2cm}|p{2cm}|p{2cm}|p{2cm}|}
+\hline
+Valeur & 4 & 5 & 7 & 8 & 9 \\
+\hline
+Effectif & 3 & 5 & 8 & 7 & 2 \\
+\hline
+\hline
+Effectif cumulé croissant & \rouge{3} & \rouge{8}& \rouge{16} & \rouge{23} & \rouge{25} \\
+\hline
+\hline
+Fréquence & \rouge{$\frac{3}{25} = 0,12$} & \rouge{$0,2$} & \rouge{$0,32$} & \rouge{$0,28 $} & \rouge{$0,08$} \\
+\hline
+Fréquence cumulée croissante & \rouge{$0,12$}& \rouge{$0,32 $}& \rouge{$0,64$} & \rouge{$0,92$} & \rouge{$1$}\\
+\hline
+\end{tabular}
+
+\item Combien de valeurs sont inférieures ou égales à 5~? \bareme{1} \rouge{Réponse~: $8$}
+\item Quelle est la fréquence des valeurs inférieures ou égales à 8~?\bareme{1} \rouge{Réponse~: $0,92$}
+\item Quelle est la fréquence des valeurs égales à 9~? \bareme{1} \rouge{Réponse~: $0,08$}
+
+\item Tracer ci-dessous l'histogramme qui représente cette série \bareme{1.5}
+
+\includegraphics[width=6cm]{graphe_B.pdf}
+
+\item Inventer une autre série statistique qui ait les \emph{mêmes} valeurs, et la \emph{même} distribution de fréquence, mais des effectifs \emph{différents}.\bareme{1}
+
+\rouge{
+
+Les valeurs doivent être les mêmes, et les fréquences les mêmes. Donc n'importe quels effectifs proportionnels à ceux de départ fonctionnent (par exemple, tout multiplié par 2, ou par 10)
+
+\begin{tabular}{|c|c|c|c|c|c|}
+\hline
+Valeur & 4 & 5 & 7 & 8 & 9 \\
+\hline
+Effectif & 6 & 10 & 16 & 14 & 4 \\
+\hline
+\end{tabular}
+}
+
+\end{enumerate}
+
+\end{document}
index 72b2dcf56961e9fb8152492a51280f7c2d5fd350..f8162dfb8afffdf97d8e23d262aae094524eab01 100644 (file)
 
 \newcommand\souligne[1]{{\underline{#1}}}
 
+\newcommand\bouton[1]{\ovalbox{{\sc #1}}}
+\setlength{\fboxsep}{1.5mm}
+