Compare using diagrams only

Questions that provide only graphical representations (cumulative frequency graphs, box plots, stem-and-leaf diagrams) and ask students to extract and compare features of distributions without calculating statistics from raw data.

2 questions · Moderate -0.8

2.02f Measures of average and spread
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CAIE S1 2011 June Q3
7 marks Moderate -0.8
3 The following cumulative frequency table shows the examination marks for 300 candidates in country \(A\) and 300 candidates in country \(B\).
Mark\(< 10\)\(< 20\)\(< 35\)\(< 50\)\(< 70\)\(< 100\)
Cumulative frequency, \(A\)2568159234260300
Cumulative frequency, \(B\)104672144198300
  1. Without drawing a graph, show that the median for country \(B\) is higher than the median for country \(A\).
  2. Find the number of candidates in country \(A\) who scored between 20 and 34 marks inclusive.
  3. Calculate an estimate of the mean mark for candidates in country \(A\).
CAIE S1 2019 June Q4
6 marks Moderate -0.8
4 The Mathematics and English A-level marks of 1400 pupils all taking the same examinations are shown in the cumulative frequency graphs below. Both examinations are marked out of 100 . \includegraphics[max width=\textwidth, alt={}, center]{be6c6525-a20c-42d0-8fef-1cd254baaa76-06_1682_1246_404_445} Use suitable data from these graphs to compare the central tendency and spread of the marks in Mathematics and English.