| Exam Board | AQA |
|---|---|
| Module | Further AS Paper 2 Statistics (Further AS Paper 2 Statistics) |
| Year | 2023 |
| Session | June |
| Marks | 1 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Uniform Distribution |
| Type | Calculate or prove variance |
| Difficulty | Easy -1.2 This is a straightforward application of the variance formula for a discrete uniform distribution with only 5 values. Students can either recall the formula Var(X) = (n²-1)/12 or calculate directly from E(X²) - [E(X)]². The multiple-choice format further reduces difficulty by eliminating calculation errors and confirming the answer. |
| Spec | 5.02e Discrete uniform distribution |
| \(\frac { 1 } { 5 }\) | \(\frac { 4 } { 3 }\) | 2 | \(\frac { 13 } { 6 }\) |
| Answer | Marks | Guidance |
|---|---|---|
| Answer | Marks | Guidance |
| \(2\) | B1 | Circles correct answer |
## Question 2:
| Answer | Marks | Guidance |
|--------|-------|----------|
| $2$ | B1 | Circles correct answer |
**Question total: 1 mark**
---2 The random variable $T$ has a discrete uniform distribution and takes the values 1, 2, 3, 4 and 5
Find the variance of $T$
Circle your answer.
\begin{center}
\begin{tabular}{ l l l l }
$\frac { 1 } { 5 }$ & $\frac { 4 } { 3 }$ & 2 & $\frac { 13 } { 6 }$ \\
\end{tabular}
\end{center}
\hfill \mbox{\textit{AQA Further AS Paper 2 Statistics 2023 Q2 [1]}}