Quartiles worksheet
4 GCSE practice questions with answers, free to print. Every sheet is generated, so you can make a fresh one whenever you need it.
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4 marks
The box plot shows information about the times taken by a group of students to solve a puzzle.
(a)State the median time.
(b)Find the range of the times.
(c)Find the interquartile range of the times.
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3 marks
A school writes the test marks of a whole year group in order, smallest first. There are \(119\) marks in the list.
(a)State the position of the median in the list.
(b)State the position of the lower quartile.
(c)State the position of the upper quartile.
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4 marks
The box plots show information about the marks scored by the boys and by the girls in a test.
(a)Work out the interquartile range of the marks for Boys.
(b)Compare the marks for Boys with the marks for Girls.
Make one comparison about the average and one about the spread.
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3 marks
The table gives information about the times taken by a group of students to solve a puzzle. No diagram has been drawn.
Smallest time \(6\) minutes Lower quartile \(14\) minutes Median \(17\) minutes Range \(23\) minutes Interquartile range \(6\) minutes (a)Calculate the largest time.
(b)Calculate the upper quartile.
(c)A box plot is to be drawn from this information.
Write down, in order, the five values it needs.
Answers
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(a) \(27\ \text{minutes}\)
(b) \(32\ \text{minutes}\)
(c) \(11\ \text{minutes}\) -
(a) the 60th value
(b) the 30th value
(c) the 90th value -
(a) \(13\ \text{marks}\)
(b) The median for Boys is higher, \(18\) marks against \(13\) marks, so on average the marks for Boys were greater. The interquartile range for Girls is smaller, \(9\) marks against \(13\) marks, so the marks for Girls were more consistent. -
(a) \(29\ \text{minutes}\)
(b) \(20\ \text{minutes}\)
(c) \(6\), \(14\), \(17\), \(20\), \(29\)