| Exam Board | AQA |
|---|---|
| Module | AS Paper 2 (AS Paper 2) |
| Year | 2023 |
| Session | June |
| Marks | 4 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Compare distributions using stem-and-leaf |
| Difficulty | Easy -1.3 This is a straightforward box plot interpretation question requiring only basic reading of diagrams and simple reasoning. Part (a) is direct reading of a median value, parts (b) and (c) involve elementary observations about box plot features and contextual knowledge that cars have generally gotten heavier over time. No calculations or complex statistical concepts are needed. |
| Spec | 2.02f Measures of average and spread |
| Answer | Marks |
|---|---|
| 19(a) | Estimates median correctly |
| Answer | Marks | Guidance |
|---|---|---|
| Condone missing units | 1.1b | B1 |
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks |
|---|---|
| 19(b)(i) | Correctly identifies zero mass |
| Answer | Marks | Guidance |
|---|---|---|
| mass of driver of 75kg in data) | 2.2a | B1 |
| Answer | Marks | Guidance |
|---|---|---|
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks | Guidance |
|---|---|---|
| 19(b)(ii) | Argues that the claim is | |
| incorrect with the correct reason | 2.4 | E1 |
| Answer | Marks | Guidance |
|---|---|---|
| Subtotal | 1 | |
| Q | Marking instructions | AO |
| Answer | Marks |
|---|---|
| 19(c) | Explains that the 2002 data is |
| Answer | Marks | Guidance |
|---|---|---|
| Plot | 2.4 | E1 |
| Answer | Marks |
|---|---|
| Subtotal | 1 |
| Question 19 Total | 4 |
| Question Paper Total | 80 |
Question 19:
--- 19(a) ---
19(a) | Estimates median correctly
AWFW 1650 to 1675
Condone missing units | 1.1b | B1 | Median = 1662.5kg
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 19(b)(i) ---
19(b)(i) | Correctly identifies zero mass
implied from the Box Plot
Accept masses should be at
least 75kg (due to inclusion of
mass of driver of 75kg in data) | 2.2a | B1 | The Box Plot implies that there
is at least one car of zero
mass which is not possible
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 19(b)(ii) ---
19(b)(ii) | Argues that the claim is
incorrect with the correct reason | 2.4 | E1 | There are car masses of zero
in the Large Data Set
So, the claim is incorrect
Subtotal | 1
Q | Marking instructions | AO | Marks | Typical solution
--- 19(c) ---
19(c) | Explains that the 2002 data is
the only one of the two data sets
to contain zero masses
Or
Gives a valid reason for Box
Plot B being from the 2002 data
or for Box Plot A being from
2016. The reason must be
justified from the relevant Box
Plot | 2.4 | E1 | The 2002 data is the only one of
the two data sets to contain zeros
in the masses of cars field
Subtotal | 1
Question 19 Total | 4
Question Paper Total | 80A comparison of the masses (in kg) of convertible cars was made using the Large Data Set.
A sample of 20 masses was chosen from both the 2002 data and the 2016 data.
The masses of the 20 cars in each sample were used to create a box plot for each year.
The box plots were labelled Box Plot A and Box Plot B as shown in the diagram below.
\includegraphics{figure_19}
\begin{enumerate}[label=(\alph*)]
\item Estimate the median of the masses from Box Plot A [1 mark]
\item It is claimed that Box Plot B must be incorrectly drawn.
\begin{enumerate}[label=(\roman*)]
\item Give a reason why this claim was made. [1 mark]
\item Comment on the validity of this claim. [1 mark]
\end{enumerate}
\item It is claimed that Box Plot B must be from the 2002 data. Give a reason why this claim is correct. [1 mark]
\end{enumerate}
\hfill \mbox{\textit{AQA AS Paper 2 2023 Q19 [4]}}