Practise

Question bank

Original exam-style questions, mapped to your syllabus. Answers are checked for mathematical equivalence and every attempt updates your mastery.

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12 questions

SA-9709-P5-DR-0064 marksL1 FoundationCalculatorQuartiles

For the data

2,\ 4,\ 5,\ 7,\ 8,\ 10,\ 12,\ 13,\ 15,\ 18,\ 21

, find the median, the lower and upper quartiles, and the interquartile range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0014 marksL1 FoundationCalculatorQuartiles

For the data

12,\ 15,\ 18,\ 20,\ 23,\ 27,\ 31

, find the median, the lower quartile, the upper quartile and the interquartile range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0042 marksL1 FoundationCalculatorDisplays

A box plot shows minimum

5

, lower quartile

12

, median

18

, upper quartile

25

and maximum

40

. Find the interquartile range and the range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0051 markL1 FoundationCalculatorQuartiles

Find the median of

3,\ 5,\ 6,\ 9,\ 11,\ 14,\ 15,\ 20

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SA-9709-P5-DR1-0061 markL1 FoundationCalculatorDisplays

On a box plot the median is close to the lower quartile and the upper whisker is much longer than the lower one. The distribution is

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0071 markL1 FoundationCalculatorDisplays

Which diagram shows the shape of a distribution and keeps every original data value?

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SA-9709-P5-DR1-0081 markL1 FoundationCalculatorQuartiles

A set of

15

values is written in order. Which value (1st, 2nd, …) is the lower quartile? Give its position.

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SA-9709-P5-DR-Q021 markL1 FoundationCalculatorQuartiles

The median of

3,\ 6,\ 8,\ 11,\ 14,\ 20

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR-0071 markL2 StandardCalculatorQuartiles

Group A has median

34

and IQR

12

. Group B has median

30

and IQR

20

. Which statement is correct?

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SA-9709-P5-DR1-0023 marksL2 StandardCalculatorDisplays

A stem-and-leaf diagram (key

2\,|\,3

means

23

) has the rows

1\,|\,2\ 5\ 7

\ 2\,|\,0\ 3\ 3\ 8

\ 3\,|\,1\ 4\ 6\ 9

. Find the median and the interquartile range.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0032 marksL2 StandardCalculatorDisplays

A data set has

Q_1=20

and

Q_3=32

. An outlier is defined as a value more than

1.5\times

IQR above

Q_3

or below

Q_1

. Find the value above which a data point is an outlier.

Salam Academy Original Practice · Proposed mark scheme

SA-9709-P5-DR1-0094 marksL3 ExamCalculatorDisplays

For the data

1,\ 3,\ 4,\ 4,\ 5,\ 6,\ 7,\ 8,\ 9,\ 22,\ 30

, an outlier is a value more than

1.5\times

IQR beyond the nearer quartile. How many outliers are there?

Salam Academy Original Practice · Proposed mark scheme