Data Representation: Frequency Tables and Cumulative Curves

Data Representation: Frequency Tables and Cumulative Curves

TGM Original

The cumulative frequency curve below shows the marks obtained by \(250\) pupils in a particular examination. The maximum mark is \(80\).

Cumulative frequency curve of examination marks
Cumulative frequency curve of examination marks

From the graph, estimate

  1. the median of this distribution,
  2. the interquartile range,
  3. the \(80^{\mathrm{th}}\) percentile,
  4. the minimum mark such that a pupil can be in the top \(20\%\).

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Answer:(a) \(42.5\) marks. (b) \(20.5\) marks. (c) \(53\) marks. (d) \(53\) marks.

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