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The Forces That Determine the Size of Groups ("Swarms") of Social

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The forces that determine the size of groups ("swarms") of social insects and the rates at
which they grow are not well understood. Biologists have observed large variability in the size of swarms across species. In a study of the social wasp, Polybia occidentalis,
investigators dismantled a nest of these insects and marked a few insects for future
identification in new swarms. Twenty-five days after dismantling the original swarm they
had located new swarms of wasps from the original colonies. The data below present the
numbers of adults and workers in the new swarms in two different years. "Drones" are
fertile males that mate with the queen. "Workers" are infertile females that labor in the nest
and defend the colony.  First  Year  Swarm # Number  of  Drones  Number  of  Workers  Second  Year  Swarm # Number  of  Drones  Number  of  Workers 15985971355339224212691673356755732782524371325471966952792605152129644356156140742417413581261079108101107964\begin{array}{|c|r|r|r|r|r|}\hline \begin{array}{c}\text { First } \\\text { Year } \\\text { Swarm } \\\#\end{array} & \begin{array}{c}\text { Number } \\\text { of } \\\text { Drones }\end{array} & \begin{array}{c}\text { Number } \\\text { of } \\\text { Workers }\end{array} & \begin{array}{c}\text { Second } \\\text { Year } \\\text { Swarm } \\\#\end{array} & \begin{array}{c}\text { Number } \\\text { of } \\\text { Drones }\end{array} & \begin{array}{c}\text { Number } \\\text { of } \\\text { Workers }\end{array} \\\hline 1 & 598 & 597 & 1 & 355 & 339 \\\hline 2 & 24 & 21 & 2 & 691 & 673 \\\hline 3 & 567 & 557 & 3 & 278 & 252 \\\hline 4 & 371 & 325 & 4 & 719 & 669 \\\hline 5 & 279 & 260 & 5 & 152 & 129 \\\hline 6 & 44 & 35 & 6 & 156 & 140 \\\hline 7 & 42 & 41 & 7 & 41 & 35 \\\hline 8 & 126 & 107 & & & \\\hline 9 & 108 & 101 & & & \\\hline 10 & 79 & 64 & & & \\\hline\end{array}
-Construct comparative box plots of the numbers of drones in the swarms in the
first and second years.  The forces that determine the size of groups ( swarms ) of social insects and the rates at which they grow are not well understood. Biologists have observed large variability in the size of swarms across species. In a study of the social wasp, Polybia occidentalis, investigators dismantled a nest of these insects and marked a few insects for future identification in new swarms. Twenty-five days after dismantling the original swarm they had located new swarms of wasps from the original colonies. The data below present the numbers of adults and workers in the new swarms in two different years.  Drones  are fertile males that mate with the queen.  Workers  are infertile females that labor in the nest and defend the colony.  \begin{array}{|c|r|r|r|r|r|} \hline \begin{array}{c} \text { First } \\ \text { Year } \\ \text { Swarm } \\ \# \end{array} & \begin{array}{c} \text { Number } \\ \text { of } \\ \text { Drones } \end{array} & \begin{array}{c} \text { Number } \\ \text { of } \\ \text { Workers } \end{array} & \begin{array}{c} \text { Second } \\ \text { Year } \\ \text { Swarm } \\ \# \end{array} & \begin{array}{c} \text { Number } \\ \text { of } \\ \text { Drones } \end{array} & \begin{array}{c} \text { Number } \\ \text { of } \\ \text { Workers } \end{array} \\ \hline 1 & 598 & 597 & 1 & 355 & 339 \\ \hline 2 & 24 & 21 &  2 & 691 & 673 \\ \hline 3 & 567 & 557 &  3 & 278 & 252 \\ \hline 4 & 371 & 325 & 4 & 719 & 669 \\ \hline 5 & 279 & 260 & 5 & 152 & 129 \\ \hline 6 & 44 & 35 & 6 & 156 & 140 \\ \hline 7 & 42 & 41 &  7 & 41 & 35 \\ \hline 8 & 126 & 107 & & &  \\ \hline 9 & 108 & 101 & & & \\ \hline 10 & 79 & 64 & & & \\ \hline \end{array}  -Construct comparative box plots of the numbers of drones in the swarms in the first and second years.

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