Using the following data on the Observations $10,13,4,$ and $20,$ confirm that the complete linkage distance between the cluster containing $\{10,13\}$ and the cluster containing $\{4,20\}$ is $2\mathrm{.}577$ units as displayed in the dendrogram.

If required, round your answers to three decimal places. Do not round intermediate calculations.

Distance from Observation $10$ and Observation $4$:

$1\mathrm{.}492$

Distance from Observation $10$ and Observation $20$:

$2\mathrm{.}055$

Distance from Observation $13$ and Observation $4$:

$2\mathrm{.}577$

Distance from Observation $13$ and Observation $20$:

$2\mathrm{.}226$

Based on complete linkage, the merger of cluster $\{10,13\}$ and cluster $\{4,20\}$ is

the largest

of these four distances. Thus, the increase in within$-$cluster dissimilarity of the new merged cluster

$-$ Select your answer $-$

based on the distance between Observation $13$ and Observation $4.$