CAIE S1 2011 November — Question 1 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2011
SessionNovember
Marks3
PaperDownload PDF ↗
Mark schemeDownload PDF ↗
TopicMeasures of Location and Spread
TypeCalculate statistics from raw data
DifficultyEasy -1.8 This is a straightforward calculation requiring only direct application of mean and standard deviation formulas to a small dataset of 11 values. It involves basic arithmetic with no conceptual challenge, problem-solving, or interpretation—purely routine statistical computation that any S1 student should handle mechanically.
Spec2.02g Calculate mean and standard deviation

1 The following are the times, in minutes, taken by 11 runners to complete a 10 km run. \(\begin{array} { l l l l l l l l l l l } 48.3 & 55.2 & 59.9 & 67.7 & 60.5 & 75.6 & 62.5 & 57.4 & 53.4 & 49.2 & 64.1 \end{array}\) Find the mean and standard deviation of these times.

AnswerMarks Guidance
\(\bar{x} = 59.4\)B1, M1 Correct method (can be implied by correct answer)
\(\sigma = 7.68\)A1 [3] Correct answer
$\bar{x} = 59.4$ | B1, M1 | Correct method (can be implied by correct answer)
$\sigma = 7.68$ | A1 | [3] Correct answer
1 The following are the times, in minutes, taken by 11 runners to complete a 10 km run.\\
$\begin{array} { l l l l l l l l l l l } 48.3 & 55.2 & 59.9 & 67.7 & 60.5 & 75.6 & 62.5 & 57.4 & 53.4 & 49.2 & 64.1 \end{array}$\\
Find the mean and standard deviation of these times.

\hfill \mbox{\textit{CAIE S1 2011 Q1 [3]}}