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Range, quartiles and box plots – practice for Year 9

Sample questions on Range, quartiles and box plots with the right answer and a worked solution, from easy to hard. In the Pickles Academy app a child gets new questions of the same kind every time, so they can't just learn the answers by heart.

Subject
Maths
Year
Year 9
Curriculum area
Relationships, functions and data

Question types: Range, quartiles, box plots

Rule: Range, quartiles and box plots

Range = largest − smallest value. The median is the middle value of the ordered data.

The lower quartile is the median of the lower half (without the median), the upper quartile that of the upper half.

Example: 2, 4, 5, 7, 8, 9, 12: median 7, quartiles 4 and 9, range 10

Watch out: Put the data in order first, then look for the median and the quartiles.

Sample questions

  1. Question 1 Easy

    The box plot shows the points the pupils scored in a test. Find the median.

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    Show the solution
    Answer: 8

    How it works: The median is the line inside the box: 8.

  2. Question 2 Normal

    Test points in order of size: 8; 10; 10; 16; 17; 26; 28; 28; 40. Find the upper quartile.

    Show the solution
    Answer: 28

    How it works: median 17; upper half 26; 28; 28; 40 → upper quartile = 28

  3. Question 3 Hard

    The box plot shows the points the pupils scored in a test. About what percentage of the pupils scored more than 8 points?

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    Show the solution
    Answer: 50%

    How it works: The quartiles and the median split the results into four quarters of about 25% each.

Related topics

All Maths topics

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