Edexcel S1 2024 January — Question 1

Exam BoardEdexcel
ModuleS1 (Statistics 1)
Year2024
SessionJanuary
TopicData representation
TypeComplete frequency table from histogram only

  1. The histogram below shows the distribution of the heights, to the nearest cm , of 408 plants.
    \includegraphics[max width=\textwidth, alt={}, center]{86446ce3-496a-4f02-9566-9b207bac9efa-02_1001_1473_340_296}
    1. Use the histogram to complete the following table.
    Height \(( h\) cm)\(5 \leqslant h < 9\)\(9 \leqslant h < 13\)\(13 \leqslant h < 15\)\(15 \leqslant h < 17\)\(17 \leqslant h < 25\)
    Frequency32152120
  2. Use interpolation to estimate the median. The mean height of these plants is 13.2 cm correct to one decimal place.
  3. Describe the skew of these data. Give a reason for your answer. Two of these plants are chosen at random.
  4. Estimate the probability that both of their heights are between 8 cm and 14 cm