CAIE S1 2008 November — Question 1 3 marks

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2008
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 of mean and standard deviation from a small dataset of 10 values using standard formulas. It requires only direct application of memorized formulas with no problem-solving, conceptual understanding, or multi-step reasoning—purely mechanical arithmetic that any student with a calculator can complete.
Spec2.02f Measures of average and spread2.02g Calculate mean and standard deviation

1 Rachel measured the lengths in millimetres of some of the leaves on a tree. Her results are recorded below. $$\begin{array} { l l l l l l l l l l } 32 & 35 & 45 & 37 & 38 & 44 & 33 & 39 & 36 & 45 \end{array}$$ Find the mean and standard deviation of the lengths of these leaves.

Question 1:
AnswerMarks Guidance
Answer/WorkingMarks Guidance
mean = 38.4 mmB1 Correct answer
(method for mean)M1 Correct method if shown (can be implied), must see a \(\sqrt{}\) sign
sd = 4.57 mmA1 [3] Correct answer
## Question 1:

| Answer/Working | Marks | Guidance |
|---|---|---|
| mean = 38.4 mm | B1 | Correct answer |
| (method for mean) | M1 | Correct method if shown (can be implied), must see a $\sqrt{}$ sign |
| sd = 4.57 mm | A1 **[3]** | Correct answer |

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1 Rachel measured the lengths in millimetres of some of the leaves on a tree. Her results are recorded below.

$$\begin{array} { l l l l l l l l l l } 
32 & 35 & 45 & 37 & 38 & 44 & 33 & 39 & 36 & 45
\end{array}$$

Find the mean and standard deviation of the lengths of these leaves.

\hfill \mbox{\textit{CAIE S1 2008 Q1 [3]}}