\documentclass[12pt]{article}\usepackage[Mickael]{ammaths}\usetikz\usepackage{units}
\begin{document}\en\nocouleur
\module{Statistical graphs}{01}{03}{1 period}
%\prereq{}
\object{\begin{itemize}
\item Discover five different types of statistical graphs.
\item Get information from statistical graphs.
\end{itemize}}
\mater{\begin{itemize}
\item Pdf file in English : ClimateReport.pdf (from \\ \url{http://www.statistiques.equipement.gouv.fr/rubrique.php3?id_rubrique=558})
\item Computers.
\end{itemize}}
\modpart{Discover five types of graphs}{15 mins}
Students work by two on computers. This activity is based on a report about climate issued by the French government.
They are also given a task sheet. In the first part, they have to find in the document examples of five types of
graphs.\\
A discussion can be about graphics that combine different types or none.
\modpart{Get information from statistical graphs}{Remaining times}
Using the document, students have to find or compute some information to answer some question from a task sheet.
\pagebreak
\moddocdis{Statistical graphs}{01}{03}{Task sheet}
For this activity, we will work with a report about climate issued by the French government in 2010. The file
ClimateReport.pdf is stored in the folder {\tt Partage Eleves/Seconde Euro}. Open it with Adobe Acrobat Reader.
\sectionblack{Part 1 -- Five types of statistical graphs}
In this part, we introduce five important types of statistical graphs.
\bigskip
\defi{}{In a \emph{frequency polygon}, the values are shown on the $x$-axis and the frequencies are represented by the
height of a point located above the score (on the $y$-axis). The points are then connected to form a polygon.}
\defi{}{A \emph{histogram} is used when values are gathered into class intervals, or when the data are qualitative. The
intervals are shown on the X-axis and the frequencies for each interval are represented by the areas of
rectangles located above each class interval.}
\defi{}{In a \emph{scatter plot}, the data is displayed as a collection of points, each having the value of one variable
determining the position on the horizontal axis and the value of the other variable determining the position on the
vertical axis.}
\defi{}{A \emph{pie chart} is a circular chart divided into sectors. In a pie chart, the arc length of each sector (and
consequently its central angle and area), is proportional to the quantity it represents.}
\defi{}{A \emph{bar graph} is a chart with rectangular bars with lengths proportional to the values that they
represent. The bars can also be plotted horizontally.}
{\bf Your task : }Find in the document one or two examples of each type of graph. Give explicitly the title of the graph
and the page where it can be found. \emph{Call the teacher when you've finished this part.}
\begin{center}
\begin{tabularx}{\textwidth}{|c|X|c|}
\hline
\rowcolor{lightgray}{\small\bf\textsf{Graph}} & \centering {\small\bf\textsf{Title}} & {\small\bf\textsf{Page}} \\
\hline
\multirow{2}{*}{\small\bf\textsf{Frequency polygons}} & &\rule{0pt}{20pt}\\
\cline{2-3}
& &\rule{0pt}{20pt}\\
\hline
\multirow{2}{*}{\small\bf\textsf{Scatter plots}} & &\rule{0pt}{20pt}\\
\cline{2-3}
& &\rule{0pt}{20pt}\\
\hline
\multirow{2}{*}{\small\bf\textsf{Histograms}} & &\rule{0pt}{20pt}\\
\cline{2-3}
& &\rule{0pt}{20pt}\\
\hline
\multirow{2}{*}{\small\bf\textsf{Pie charts}} & &\rule{0pt}{20pt}\\
\cline{2-3}
& &\rule{0pt}{20pt}\\
\hline
\multirow{2}{*}{\small\bf\textsf{Bar graphs}}& &\rule{0pt}{20pt}\\
\cline{2-3}
& &\rule{0pt}{20pt}\\
\hline
\end{tabularx}
\end{center}
\bigskip
\sectionblack{Part 2 -- Get information from statistical graphs}
\probpart{-- Global GHGs by type of gas, page 12}
\begin{enumerate}
\item What type of graph is that ?
\item Explain the acronym GHG.
\item According to the pie chart, what gas represented most of the emissions in 2004 ?
\item In the text, it is said that CO$_2$ emission represented the $\nicefrac{3}{4}$ of global emissions in 2004. Is
this sentence consistant with the pie chart ?
\item The global emission in 2004 reached 49 Gt CO2eq (49 Giga tons equivalent CO$_2$). Use this information to
compute the emissions of carbon dioxyde, methane and nitrous oxyde in Gt CO2eq.
\end{enumerate}
\probpart{-- Regional Distribution of GHG Emissions per capita, page 13}
\begin{enumerate}
\item This graph is not exactly of one of the types we've seen, but it looks a lot like one. Which one ?
\item On the $x$-axis is shown the cumulative population in billions.
\begin{enumerate}
\item Where can the world population in 2004 be seen on this graph ?
\item What region has the largest population ?
\item Order the regions according to their population.
\end{enumerate}
\item On the $y$-axis is shown the average GHG emissions per person, in tons equivalent CO$_2$.
\begin{enumerate}
\item What region has the highest average GHG emissions per person ?
\item Order the regions according to their GHG emission per person.
\end{enumerate}
\item Explain the link between the percentage indicated for each region and the area of each rectangle.
\end{enumerate}
\probpart{-- CO$_2$ Emission Factors for the Principal Fossil Fuels, page 21}
\begin{enumerate}
\item What kind of graph is that ?
\item Find in the text the information presented here. As an example, explain the value 3.1 for Kerosene.
\item According to the graph, what kind of fuel emits the most CO$_2$ ? What kind of fuel emits the less ?
\item Using the graph, find three fuels that emit the same amount of CO$_2$.
\item Answer the two previous questions with the table. What do you notice ?
\item Could you correct the graph ?
\end{enumerate}
\probpart{-- Energy-related CO2 Emissions Worldwide, page 16}
For this graph, the Energy-related CO$_2$ emissions of 1990 have been taken as the base (index 100) for every category.
\begin{enumerate}
\item What type of graph is used here ?
\item How many such graphs are drawn together ?
\item According to these graphs, what country or group of countries had the greatest increase in energy-related CO$_2$
emissions between 1990 and 2007 ?
\item Are there some periods when the emissions have decreased in France ?
\item From this graph, can you say what country or group of countries had the greatest emissions in 2000 ?
\end{enumerate}
\probpart{-- Estimated global mean temperature, page 7}
\begin{enumerate}
\item What type of graph is that ?
\item What information is given on each axis ?
\item According to this graph, what year was the warmest between 1850 and 1900 ? What year was the coldest ?
\item The text says that ``the global average temperature has increased by approximately +1$^\circ$C over the last
century''. How can this be seen on the graph ?
\item Explain the red, purple, orange and yellow lines on the graph ?
\item What do these lines show about the global temperature ?
\end{enumerate}
\end{document}