The following data represent the ages of award winners for best actor and best actress in a leading role for the 20 years from 1985 to 2004. Answer parts ​(a)minus​(b) below. Full data set Best Actor Ages Best Actress Ages 40 45 64 52 38 35 48 27 60 44 32 32 33 25 37 26 61 37 37 51 33 53 43 46 52 24 25 32 49 39 22 35 33 39 54 43 34 70 44 25 ​(a) Construct an ordered back to back​ stem-and-leaf display.

Answer:[tex]\begin{array}{ccc}\text{Stem}&|&\text{Leaf}\\ \\2&|&2,4,5,5,5,6,7\\3&|&2,2,2,3,3,3,4,5,5,7,7,7,8,9,9\\4&|&0,3,3,4,4,5,6,8,9\\5&|&1,2,2,3,4\\6&|&0,1,4\\7&|&0\end{array}[/tex]Step-by-step explanation:You are given the set of data40 45 64 52 38 35 48 27 60 44 32 32 33 25 37 26 61 37 37 51 33 53 43 46 52 24 25 32 49 39 22 35 33 39 54 43 34 70 44 25 ​First, rewrite it in ascending order:22 24 25 25 25 26 27 32 32 32 33 33 33 34 35 35 37 37 37 38 39 39 40 43 43 44 44 45 46 48 49 51 52 52 53 54 60 61 64 70   ​The first gigit of each number write into the stem column and the second digit of each number write into the leaf column. So, the stem-and-leaf display is[tex]\begin{array}{ccc}\text{Stem}&|&\text{Leaf}\\ \\2&|&2,4,5,5,5,6,7\\3&|&2,2,2,3,3,3,4,5,5,7,7,7,8,9,9\\4&|&0,3,3,4,4,5,6,8,9\\5&|&1,2,2,3,4\\6&|&0,1,4\\7&|&0\end{array}[/tex]