| Exam Board | AQA |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2023 |
| Session | June |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Calculate frequency density from frequency |
| Difficulty | Easy -1.8 This is a single-mark question testing the basic definition of frequency density (frequency ÷ class width). It requires only one calculation: 36 ÷ 18 = 2, with the answer provided in multiple choice format. This is straightforward recall and application of a formula with no problem-solving required, making it significantly easier than average. |
| Spec | 2.02b Histogram: area represents frequency |
| \(x\) | Frequency |
| \(11 < x \leq 21\) | 7 |
| \(21 < x \leq 24\) | 9 |
| \(24 < x \leq 42\) | 36 |
| \(42 < x \leq 50\) | 18 |
| Answer | Marks | Guidance |
|---|---|---|
| 13 | Circles correct answer | 1.1b |
| Question 13 Total | 1 | |
| Q | Marking instructions | AO |
Question 13:
13 | Circles correct answer | 1.1b | B1 | 2
Question 13 Total | 1
Q | Marking instructions | AO | Marks | Typical solutionThe table below shows the frequencies for a set of data from a continuous variable $X$
\begin{center}
\begin{tabular}{|c|c|}
\hline
$x$ & Frequency \\
\hline
$11 < x \leq 21$ & 7 \\
\hline
$21 < x \leq 24$ & 9 \\
\hline
$24 < x \leq 42$ & 36 \\
\hline
$42 < x \leq 50$ & 18 \\
\hline
\end{tabular}
\end{center}
A histogram is drawn to represent this data.
Find the frequency density of the bar in the histogram representing the class $24 < x \leq 42$
Circle your answer.
[1 mark]
2 \qquad 18 \qquad 36 \qquad 70
\hfill \mbox{\textit{AQA AS Paper 2 2023 Q13 [1]}}