CAIE S1 2019 November — Question 5

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2019
SessionNovember
TopicData representation
TypeEstimate single values from cumulative frequency graph

5 Ransha measured the lengths, in centimetres, of 160 palm leaves. His results are illustrated in the cumulative frequency graph below.
\includegraphics[max width=\textwidth, alt={}, center]{7ea494c0-5e1a-4da9-a189-30128654fa1d-08_1090_1424_404_356}
  1. Estimate how many leaves have a length between 14 and 24 centimetres.
  2. \(10 \%\) of the leaves have a length of \(L\) centimetres or more. Estimate the value of \(L\).
  3. Estimate the median and the interquartile range of the lengths.
    Sharim measured the lengths, in centimetres, of 160 palm leaves of a different type. He drew a box-and-whisker plot for the data, as shown on the grid below.
    \includegraphics[max width=\textwidth, alt={}, center]{7ea494c0-5e1a-4da9-a189-30128654fa1d-09_540_1287_1181_424}
  4. Compare the central tendency and the spread of the two sets of data.