$[$DATA$]$ Academy Award Winners The following data represent the ages on the ceremony date of the Academy Award winners for Best Actor and Best Actress in a leading role for the $41$ years from $1978$ to $2018.$

$\backslash$table$[[$Best Actor Ages$],[30,40,42,37,76,39,50,55,54,50,59],[36,62,43,51,48,44,32,42,36,33,],[37,38,60,32,45,60,46,40,45,41,],[47,29,43,37,38,45,39,53,52,41,]]$

$\backslash$table$[[$Best Actress Ages$],[32,41,33,31,74,33,32,22,29,29,60],[61,21,41,26,33,44,80,42,33,54,],[36,45,45,49,39,34,26,25,38,26,],[35,35,28,30,29,61,62,49,33,28,]]$

a$.$ Construct a back$-$to$-$back stem$-$and$-$leaf plot.

b$.$ Compare the two populations. What can you conclude from the backto$-$back stem$-$and$-$leaf plot?