| Exam Board | OCR |
|---|---|
| Module | PURE |
| Marks | 3 |
| Paper | Download PDF ↗ |
| Topic | Data representation |
| Type | Calculate using histogram bar dimensions |
| Difficulty | Easy -1.8 This is a very straightforward histogram calculation requiring only the basic formula (frequency density = frequency ÷ class width) with simple arithmetic (2143 ÷ 5 = 428.6, then 428.6 ÷ 1000 = 0.4286 cm), plus a simple recall question about when histograms are appropriate. Both parts require minimal problem-solving and are routine textbook exercises. |
| Spec | 2.02b Histogram: area represents frequency2.02i Select/critique data presentation |
| Age group | 0 to 4 |
| Frequency | 2143 |
| Answer | Marks | Guidance |
|---|---|---|
| \(\frac{2143}{5}\) or \(428.6\) or \(429\) | M1 | M1 for \(\frac{2143}{4}\) or \(535.75\) or \(534\) or \(0.534\); or \(\frac{2143}{4.5}\) or \(476\) or \(0.476\) |
| Height \(= 0.429\) (3 sf) (cm) | A1 [2] | Allow without "cm"; eg \(\frac{1000}{428.6}\): M1A0 |
| Answer | Marks | Guidance |
|---|---|---|
| Non-numerical data oe | B1 [1] | Indication of numerical data needed; Boundaries need to be between 2 numbers; Cannot be measured. Qualitative data. No range of values; NOT "No class boundaries", "No class widths", "Not g'ped data", "Need continuous data", "No range"; Ignore all else |
## Question 8:
### Part (a):
$\frac{2143}{5}$ or $428.6$ or $429$ | **M1** | M1 for $\frac{2143}{4}$ or $535.75$ or $534$ or $0.534$; or $\frac{2143}{4.5}$ or $476$ or $0.476$
Height $= 0.429$ (3 sf) (cm) | **A1** [2] | Allow without "cm"; eg $\frac{1000}{428.6}$: M1A0
### Part (b):
Non-numerical data oe | **B1** [1] | Indication of numerical data needed; Boundaries need to be between 2 numbers; Cannot be measured. Qualitative data. No range of values; **NOT** "No class boundaries", "No class widths", "Not g'ped data", "Need continuous data", "No range"; Ignore all else
---8
\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{OCR PURE Q8 [3]}}