CAIE S1 2023 March — Question 1

Exam BoardCAIE
ModuleS1 (Statistics 1)
Year2023
SessionMarch
TopicData representation
TypeDraw histogram then perform calculations

1 Each year the total number of hours, \(x\), of sunshine in Kintoo is recorded during the month of June. The results for the last 60 years are summarised in the table.
\(x\)\(30 \leqslant x < 60\)\(60 \leqslant x < 90\)\(90 \leqslant x < 110\)\(110 \leqslant x < 140\)\(140 \leqslant x < 180\)\(180 \leqslant x \leqslant 240\)
Number
of years
48142572
  1. Draw a cumulative frequency graph to illustrate the data.
    \includegraphics[max width=\textwidth, alt={}, center]{2577c597-0a04-4909-ad71-1347aacec6d9-02_1395_1397_881_415}
  2. Use your graph to estimate the 70th percentile of the data.
  3. Calculate an estimate for the mean number of hours of sunshine in Kintoo during June over the last 60 years.