GCSE · Cumulative frequency & box plots

Cumulative frequency diagramsExam-style questions

How to build a running total from a grouped frequency table, why every point is plotted at the upper class boundary rather than the midpoint, and how to read estimates off the curve in both directions.

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

DifficultyAllLevel 2Level 3Level 4Level 5
  1. 1
    40 pupils took a test. The grouped frequency table shows their scores.
    Score, ssFrequency
    0<s≤100 < s \le 103
    10<s≤2010 < s \le 209
    20<s≤3020 < s \le 3015
    30<s≤4030 < s \le 4010
    40<s≤5040 < s \le 503
    (a) Write down the cumulative frequency for each of the five classes.

    (b) Write down the coordinates of the point that should be plotted for the class 30<s≤4030 < s \le 40.

    (c) Explain what the cumulative frequency for the class 20<s≤3020 < s \le 30 tells you about the pupils' scores.
    Level 2 · 3 marksTry it