Edexcel IGCSE Math A 6.2.HC interquartile range from discrete data

Practise discrete-IQR questions by locating lower and upper quartiles in the ordered list, then subtracting to find the spread.

Exam points

Find lower and upper quartiles from an ordered discrete data set carefully.
Calculate the interquartile range by subtracting the lower quartile from the upper quartile.
Use IQR to compare consistency in contexts such as books read or aces served.

[Maximum number: 2]

Here are the numbers of aces that Rutger served in each of 11 tennis matches.

1, 1, 2, 4, 6, 8, 8, 9, 11, 12, 15

Find the interquartile range of the numbers of aces.

Show your working clearly.

Quartiles identified:
$Q_1=2,\qquad Q_3=11$
Interquartile range:
11-2=9

Final answer:
9

M1 for clearly identifying 2 and 11. A1 dep; working required.

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6.2.HC Interquartile range from discrete data question 1