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
    A bank recorded the waiting times, in minutes, of its customers at two branches on the same morning.

    Branch A (8080 customers)1020304050600.511.522.5Waiting time (minutes)Frequency densityBranch B (100100 customers)1020304050600.511.522.5Waiting time (minutes)Frequency density(a) Estimate the number of customers at branch A who waited less than 2020 minutes.

    (b) Estimate the number of customers at branch B who waited less than 2020 minutes.

    (c) Use the histograms to compare the waiting times at the two branches.
    Level 5 · 6 marksTry it
  2. 2
    10203040506070801234Amount spent (£)Frequency densityThe histogram gives information about the amounts of money spent by the shoppers in a shop one morning.

    (a) Work out an estimate for the median amount spent.

    (b) Rani says, "More than a quarter of these shoppers spent at least £4040."

    Is Rani correct? You must show your working.
    Level 5 · 6 marksTry it