| Exam Board | Edexcel |
|---|---|
| Module | S1 (Statistics 1) |
| Year | 2001 |
| Session | January |
| Marks | 7 |
| Paper | Download PDF ↗ |
| Mark scheme | Download PDF ↗ |
| Topic | Data representation |
| Type | Draw box plot from summary statistics |
| Difficulty | Easy -1.3 This is a straightforward application of box plot construction from given summary statistics (min=14, Q1=30, Q2=34, Q3=42, max=65) with a simple outlier calculation using the standard 1.5×IQR rule. It requires only direct recall of the box plot method and basic arithmetic, with no problem-solving or conceptual challenge beyond following a standard procedure. |
| Spec | 2.02h Recognize outliers |
\begin{enumerate}
\item The students in a class were each asked to write down how many CDs they owned. The student with the least number of CDs had 14 and all but one of the others owned 60 or fewer. The remaining student owned 65 . The quartiles for the class were 30,34 and 42 respectively.
\end{enumerate}
Outliers are defined to be any values outside the limits of $1.5 \left( \mathrm { Q } _ { 3 } - \mathrm { Q } _ { 1 } \right)$ below the lower quartile or above the upper quartile.
On graph paper draw a box plot to represent these data, indicating clearly any outliers.\\
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\hfill \mbox{\textit{Edexcel S1 2001 Q1 [7]}}