GCSE · Cumulative frequency & box plots

Box plotsExam-style questions

What each of the five marks on a box plot means, why the box holds the middle 50% of the data, and why a longer section means the data there is more spread out — never that there is more of it.

Start practising Read the lesson

12 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    The box plot gives information about the masses, in kilograms, of the dogs at a rescue centre.510152025303540Mass (kg)(a) Write down the median mass.

    (b) Work out the range of the masses.

    (c) Work out the interquartile range of the masses.
    Level 2 · 5 marksTry it
  2. 2
    For the times taken by 6060 students to complete a puzzle: the shortest time was 55 minutes, the lower quartile was 1212 minutes, the median was 2020 minutes, the upper quartile was 2626 minutes and the longest time was 4141 minutes.

    (a) Work out the interquartile range. [1]

    (b) How many of the students took 2626 minutes or longer? [1]

    A second class had a median of 2424 minutes and an interquartile range of 1010 minutes.

    (c) Compare the times of the two classes. [1]
    Level 2 · 3 marksTry it