Draw back-to-back stem-and-leaf diagram

A question is this type if and only if it provides two data sets and asks the student to represent them using a back-to-back stem-and-leaf diagram.

7 questions

CAIE FP2 2014 June Q6
6 Emly at a atcula cmay a \(b\) ty \(t\) duc abc \(t\) cmay dcd \(t t\)
\(t u\) ac day at ay tm bt am ad m F a adm aml mly
\(t u m b u a b c t y a b\)
a \(g\) t llg tabl
\(k g u a c\) daym am \(t m T\)
duc xtm ad all mly \(t k\)
ad \(t\) ya at \(t\) tduct xtm
Emly
\(B\)
\(A t\)
a ad aml tt t tt at t gcac ll t t ulat ma umb
\(u\) abc a dcad ll g t tduct xtm
CAIE FP2 2013 November Q10
10 Cutna ee \(e\) ee \(n\) ee \(n\) tey ee \(n m m e\) me ut na \(n\) ene ut na tenume ee \(n e \quad n \quad e \quad n \quad n t e n t e\)
\(e\)
ene
Tet tite neee atee eateden eeene me \(n\) eme ut na
\(A \quad e n m m e \quad n t e n t n t\) ee tentee \(t\) unttte t enteme me nteet w \(n\) neee y te tet
me ut naeme ut na
\(t\)\(n\)\(n\)\(e\)\(n\)e ent
\(t\)\(t\)\(u\)\(e\)\(t\)eent n u n te
\(11 y \quad\) one \(g a a\) \begin{table}[h]
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ma aym \(g\)та а agа а а \(y\)
\(a\)\(a\)-
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\(
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\multirow[t]{3}{*}{
\)a\(
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y \)a \quad a\(
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\)m$
\end{table} \begin{verbatim} ay \(g\) a maag a ma \end{verbatim}
\includegraphics[max width=\textwidth, alt={}]{bd7c631e-eb5a-42c7-9d17-d9ed16f616d8-5_40_17_1009_239}
\begin{verbatim} , та та аа а тта а ) а тата ута a \end{verbatim} LNE LAN PAGE
CAIE S1 2024 June Q4
4 The times taken, in seconds, by 15 members of each of two swimming clubs, the Penguins and the Dolphins, to swim 50 metres are shown in the following table.
Penguins353942444545485056585961666872
Dolphins364143484949505154565660616471
  1. Draw a back-to-back stem-and-leaf diagram to represent this information, with Penguins on the left-hand side.
    \includegraphics[max width=\textwidth, alt={}, center]{9b21cc0f-b043-4251-8aa9-cb1e5c2fb5d0-09_2720_33_141_20} The diagram shows a box-and-whisker plot representing the times for the Penguins.
  2. On the same diagram, draw a box-and-whisker plot to represent the times for the Dolphins.
    \includegraphics[max width=\textwidth, alt={}, center]{9b21cc0f-b043-4251-8aa9-cb1e5c2fb5d0-09_719_1219_424_424}
  3. Hence state one difference between the distributions of the times for the Penguins and the Dolphins.
CAIE S1 2021 November Q6
6 The weights, in kg, of 15 rugby players in the Rebels club and 15 soccer players in the Sharks club are shown below.
Rebels7578798082828384858689939599102
Sharks666871727475757678838384858692
  1. Represent the data by drawing a back-to-back stem-and-leaf diagram with Rebels on the left-hand side of the diagram.
  2. Find the median and the interquartile range for the Rebels.
    A box-and-whisker plot for the Sharks is shown below.
    \includegraphics[max width=\textwidth, alt={}, center]{a2709c37-6e81-4873-8f38-94cb9f3c3252-09_533_1246_388_445}
  3. On the same diagram, draw a box-and-whisker plot for the Rebels.
  4. Make one comparison between the weights of the players in the Rebels club and the weights of the players in the Sharks club.
CAIE S1 2007 June Q4
4 The lengths of time in minutes to swim a certain distance by the members of a class of twelve 9 -year-olds and by the members of a class of eight 16 -year-olds are shown below.
9-year-olds:13.016.116.014.415.915.114.213.716.716.415.013.2
16-year-olds:14.813.011.411.716.513.712.812.9
  1. Draw a back-to-back stem-and-leaf diagram to represent the information above.
  2. A new pupil joined the 16 -year-old class and swam the distance. The mean time for the class of nine pupils was now 13.6 minutes. Find the new pupil's time to swim the distance.
CAIE S1 2014 June Q1
1 Some adults and some children each tried to estimate, without using a watch, the number of seconds that had elapsed in a fixed time-interval. Their estimates are shown below.
Adults:555867746361637156535478736462
Children:869589726184779281544368626783
  1. Draw a back-to-back stem-and-leaf diagram to represent the data.
  2. Make two comparisons between the estimates of the adults and the children.
CAIE S1 2019 March Q5
5 The weights, in kg, of the 11 members of the Dolphins swimming team and the 11 members of the Sharks swimming team are shown below.
Dolphins6275698263806565738272
Sharks6884597071647780667472
  1. Draw a back-to-back stem-and-leaf diagram to represent this information, with Dolphins on the left-hand side of the diagram and Sharks on the right-hand side.
  2. Find the median and interquartile range for the Dolphins.