$1-$ Use an RMD document to include the following answers:Within Use a graphical method to describe the velocity distribution of galaxy cluster A$1775.($ Note if you use hist$()$ explore the options to help the plot$)$

$2-$Examine the graph, part a$.$ Is there evidence to support the double cluster theory? Explain.

$3-$Calculate numerical descriptive measures $($e$.$g$.,$ mean and standard deviation$)$ for galaxy velocities in cluster A$1775.$ Depending on your answer to part b$,$ you may need to calculate two sets of numerical descriptive measures, one for each of the clusters $($say$,$ A$1775$A and A$1775$B$,$ use side$-$by$-$side boxplots with a formula in the argument$)$ within the double cluster. $($Please note that this will require some wrangling of the data $--$ you may use $[]$ or the dplyr package$)$

$4-$Suppose you observe a galaxy velocity of $20,000$ km$/$s$.$ Is this galaxy likely to belong to cluster A$1775$A or A$1775$B$?$ Explain.

$5-$Using the unclustered data $(51$ values$)$ how many measured velocities were within $1$ standard deviation of the mean?

$($please include the exact answer to this last question of part #$5.)$

Thank you

VELOCITY

$22922$

$20210$

$21911$

$19225$

$18792$

$21993$

$23059$

$20785$

$22781$

$23303$

$22192$

$19462$

$19057$

$23017$

$20186$

$23292$

$19408$

$24909$

$19866$

$22891$

$23121$

$19673$

$23261$

$22796$

$22355$

$19807$

$23432$

$22625$

$22744$

$22426$

$19111$

$18933$

$22417$

$19595$

$23408$

$22809$

$19619$

$22738$

$18499$

$19130$

$23220$

$22647$

$22718$

$22779$

$19026$

$22513$

$19740$

$22682$

$19179$

$19404$

$22193$