Visualizing Data Spread and Central Tendency

Visualizing Data Spread and Central Tendency

Secondary 4

Eighty students took a Mathematics examination which consisted of two papers.

Each paper was marked out of 100. The diagram below shows the cumulative frequency curve for Paper 1.

Cumulative frequency curve for Paper 1
Cumulative frequency curve for Paper 1
  1. Estimate
    1. the median mark,
    2. the interquartile range,
    3. the \(80^{\text{th}}\) percentile.
  2. The box-and-whisker diagram below represents the result for Paper 2.
    List item image
    State, with a reason, which you think was the more difficult paper.

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Answer:(a)(i) Approximately 45 marks. (ii) Approximately 23 marks. (iii) Approximately 58 marks. (b) Paper 1 is more difficult because its median is lower.

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