$($b$)$Based on AI in medical physics, In a study involving patient toxicity response to abdominal radiation, theteam you are working with have managed to generate the followingtabulated data for each patient: age $($years$),$ sex $($M$/$F$),$ blood group $($A$,$B$,$ AB$,$ O$),$ a set of $8$ blood plasma metabolite markers $($measured in unitsof mg$/$cm$\backslash$deg $),$ and Gl toxicity grade $($from $1-$ mild, to $4-$ life$-$threatening$).$Explain how you would prepare this dataset for analysis using the K$-$means clustering algorithm to try and associate Gl toxicity grade againstthe other $11$ input variables, and in your answer indicate what sort ofdimension reduction algorithm you would use to permit you to show yourteam the results in $2$ dimensions $($instead of the original $11).[15$ marks$]$