| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2002 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw histogram from frequency table |
| Difficulty | Moderate -0.8 This is a straightforward S1 histogram question requiring standard techniques: calculating frequency densities for unequal class widths and linear interpolation within a class. Both parts are routine textbook exercises with no conceptual challenges—students simply apply learned procedures mechanically. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02b Histogram: area represents frequency |
| Hours of sunshine | Days |
| 1 | 16 |
| 2-4 | 32 |
| 5-6 | 28 |
| 7 | 12 |
| 8 | 9 |
| 9-11 | 2 |
| 12 | 1 |
A meteorologist measured the number of hours of sunshine, to the nearest hour, each day for 100 days. The results are summarised in the table below.
\begin{center}
\begin{tabular}{|c|c|}
\hline
Hours of sunshine & Days \\
\hline
1 & 16 \\
2-4 & 32 \\
5-6 & 28 \\
7 & 12 \\
8 & 9 \\
9-11 & 2 \\
12 & 1 \\
\hline
\end{tabular}
\end{center}
\begin{enumerate}[label=(\alph*)]
\item On graph paper, draw a histogram to represent these data. [5]
\item Calculate an estimate of the number of days that had between 6 and 9 hours of sunshine. [2]
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2002 Q2 [7]}}