| Exam Board | SPS |
|---|---|
| Module | SPS FM Statistics (SPS FM Statistics) |
| Year | 2021 |
| Session | June |
| Marks | 7 |
| Topic | Measures of Location and Spread |
| Type | Adding data values |
| Difficulty | Moderate -0.3 This is a straightforward application of updating mean and standard deviation formulas when adding a data point. Part (i) requires careful but routine calculation with the formulas for combining datasets. Part (ii) tests understanding of outliers using a standard criterion (likely 2 standard deviations). The calculations are mechanical with no conceptual difficulty or problem-solving insight required, making it slightly easier than average. |
| Spec | 2.02g Calculate mean and standard deviation2.02h Recognize outliers |
Eleven students in a class sit a Mathematics exam and their average score is 67% with a standard deviation of 12%.
One student from the class is absent and sits the paper later, achieving a score of 85%.
\begin{enumerate}[label=(\roman*)]
\item Find the mean score for the whole class and the standard deviation for the whole class. [5]
\item Comment, with justification, on whether the score for the paper sat later should be considered as an outlier. [2]
\end{enumerate}
\hfill \mbox{\textit{SPS SPS FM Statistics 2021 Q5 [7]}}