| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2004 |
| Session | November |
| Marks | 6 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw histogram from frequency table |
| Difficulty | Easy -1.8 This is a routine S1 statistics question requiring basic understanding of class boundaries and histogram construction from grouped frequency data. It involves straightforward procedural steps (identifying boundaries, calculating frequencies, plotting) with no problem-solving or conceptual challenge beyond standard textbook exercises. |
| Spec | 2.02a Interpret single variable data: tables and diagrams2.02b Histogram: area represents frequency |
| Time | Number of students |
| \(40 - 44\) | 10 |
| \(45 - 47\) | 15 |
| 48 | 23 |
| \(49 - 51\) | 21 |
| \(52 - 55\) | 16 |
| \(56 - 60\) | 15 |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Mark | Guidance |
| Time data is a continuous variable | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Mark | Guidance |
| 39.5, 44.5 | B1 | both |
| Answer | Marks | Guidance |
|---|---|---|
| Working | Mark | Guidance |
| Frequency density = Freq / class width (implied) | M1 | |
| Scales and labels | B1 | |
| Histogram, no gaps with correct frequency densities | M1 | |
| All correct | A1 |
## Question 7:
### Part (a):
| Working | Mark | Guidance |
|---------|------|----------|
| Time data is a continuous variable | B1 | |
### Part (b):
| Working | Mark | Guidance |
|---------|------|----------|
| 39.5, 44.5 | B1 | both |
### Part (c):
| Working | Mark | Guidance |
|---------|------|----------|
| Frequency density = Freq / class width (implied) | M1 | |
| Scales and labels | B1 | |
| Histogram, no gaps with correct frequency densities | M1 | |
| All correct | A1 | |7. A college organised a 'fun run'. The times, to the nearest minute, of a random sample of 100 students who took part are summarised in the table below.
\begin{center}
\begin{tabular}{ | c | c | }
\hline
Time & Number of students \\
\hline
$40 - 44$ & 10 \\
\hline
$45 - 47$ & 15 \\
\hline
48 & 23 \\
\hline
$49 - 51$ & 21 \\
\hline
$52 - 55$ & 16 \\
\hline
$56 - 60$ & 15 \\
\hline
\end{tabular}
\end{center}
\begin{enumerate}[label=(\alph*)]
\item Give a reason to support the use of a histogram to represent these data.
\item Write down the upper class boundary and the lower class boundary of the class 40-44.
\item On graph paper, draw a histogram to represent these data.
END
\end{enumerate}
\hfill \mbox{\textit{Edexcel S1 2004 Q7 [6]}}