| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2009 |
| Session | June |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Calculate frequency density from frequency |
| Difficulty | Easy -1.3 This is a straightforward histogram mechanics question requiring only the application of the frequency density formula (frequency รท class width) and proportional reasoning. It involves routine calculations with no conceptual depth or problem-solving insight, making it easier than average for A-level statistics. |
| Spec | 2.02b Histogram: area represents frequency |
| \(x\) | \(10 - 15\) | \(16 - 18\) | \(19 -\) |
| Frequency | 15 | 9 | 16 |
3. The variable $x$ was measured to the nearest whole number. Forty observations are given in the table below.
\begin{center}
\begin{tabular}{ | c | c | c | c | }
\hline
$x$ & $10 - 15$ & $16 - 18$ & $19 -$ \\
\hline
Frequency & 15 & 9 & 16 \\
\hline
\end{tabular}
\end{center}
A histogram was drawn and the bar representing the $10 - 15$ class has a width of 2 cm and a height of 5 cm . For the $16 - 18$ class find
\begin{enumerate}[label=(\alph*)]
\item the width,
\item the height\\
of the bar representing this class.
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2009 Q3 [3]}}