GCSE · Histograms

Interpreting histogramsExam-style questions

Getting information back out of a histogram — a frequency is an area, so part of a class is the matching proportion of a bar's area. Why that rests on values being spread evenly within a class (and is therefore an estimate), and how to read off a total, a mean, the median class, a range that cuts across class boundaries, and a comparison of two groups.

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 histogram shows information about the heights, hh cm, of some plants.1020304050600.511.522.53Height, h (cm)Frequency density(a) Work out the number of plants with a height between 1010 cm and 2020 cm. (2 marks)
    (b) There are 66 plants with a height greater than 3030 cm.

    Work out an estimate for the number of plants with a height greater than 2525 cm. (2 marks)
    Level 3 · 4 marksTry it
  2. 2
    10203040506070800.511.522.5Age (years)Frequency densityThe histogram gives information about the ages of the members of a swimming club.

    (a) Estimate the number of members aged between 2020 and 3030.

    (b) Explain why your answer to part (a) is only an estimate.
    Level 3 · 3 marksTry it
  3. 3
    1020304050600.511.522.53Distance (km)Frequency densityThe histogram gives information about the distances, in kilometres, that the employees of a company travel to work.

    Estimate the number of employees who travel between 1515 km and 3030 km to work.
    Level 3 · 3 marksTry it