Easy -2.0 This is a straightforward recall question requiring only the basic formula: frequency density = frequency รท class width, then applying a simple scale conversion. Part (b) requires recognizing that categorical data (travel methods) cannot be displayed in a histogram. Both parts are routine textbook exercises with no problem-solving required.
Joseph drew a histogram to show information about one Local Authority. He used data from the "Age structure by LA 2011" tab in the large data set. The table shows an extract from the data that he used.
Age group
0 to 4
Frequency
2143
Joseph used a scale of \(1 \mathrm {~cm} = 1000\) units on the frequency density axis.
Calculate the height of the histogram block for the 0 to 4 class.
Magdalene wishes to draw a statistical diagram to illustrate some of the data from the "Method of travel by LA 2011" tab in the large data set.
State why she cannot draw a histogram.
1.
\begin{enumerate}[label=(\alph*)]
\item Joseph drew a histogram to show information about one Local Authority. He used data from the "Age structure by LA 2011" tab in the large data set. The table shows an extract from the data that he used.
\begin{center}
\begin{tabular}{ | c | c | }
\hline
Age group & 0 to 4 \\
\hline
Frequency & 2143 \\
\hline
\end{tabular}
\end{center}
Joseph used a scale of $1 \mathrm {~cm} = 1000$ units on the frequency density axis.
Calculate the height of the histogram block for the 0 to 4 class.
\item Magdalene wishes to draw a statistical diagram to illustrate some of the data from the "Method of travel by LA 2011" tab in the large data set.
State why she cannot draw a histogram.
\end{enumerate}
\hfill \mbox{\textit{SPS SPS SM Statistics 2023 Q1 [3]}}