A LevelMathsEdexcelStatisticsExam QuestionsData Presentation & InterpretationWorking with Data

Working with Data (Edexcel A Level Maths: Statistics): Exam Questions

Exam code: 9MA0

3 hours24 questions

2 marks

The table below gives information about the ages of passengers on an airline.

There were no passengers aged 90 or over.

Age ( $x$ years)	$0 \leq x < 5$	$5 \leq x < 20$	$20 \leq x < 40$	$40 \leq x < 65$	$65 \leq x < 80$	$80 \leq x < 90$
Frequency	5	45	90	130	60	1

An outlier is defined as a value greater than $Q_{3} + 1.5 \times interquartile range$ .

Given that $Q_{1} = 27.3$ and $Q_{3} = 58.9$ , determine, giving a reason, whether or not the oldest passenger could be considered as an outlier.

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3 marks

The cumulative frequency diagram below shows the distribution of income of $120$ managers across a supermarket chain.

The income of a sample of $120$ other employees across the supermarket chain are recorded in the table below.

On the grid above, draw a cumulative frequency graph to show the data for the other employees.

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2 marks

Compare the income of the managers and the other employees.

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$0.4$	$0.9$	$1.0$	$1.0$	$1.2$	$1.2$	$1.2$	$1.2$	$1.2$	$1.2$
$1.3$	$1.3$	$1.3$	$1.4$	$1.4$	$1.4$	$1.4$	$1.5$	$1.5$	$1.6$

Time ( $t$ seconds)	$20 < t \leq 40$	$40 < t \leq 60$	$60 < t \leq 80$	$80 < t \leq 100$
Frequency	8

	Number of available days	Maximum value	$Σ x$	$S_{x x}$
1987	25	61	665	3462