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.

[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 data

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

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]

fichoh fichoh · Answer 2 · 2021-09-10T23:00:29+02:00

Here is the back - to - back stem and leaf plot of the data :

LEAF ___________ stem _________ LEAF

Best actor age_____ | | ___ Best actress age

5, 6, 7 ___________| 2 | _______ 2, 4 5, 5

2, 2, 3, 5, 7, 7, 7, 8__ | 3 | __ 2, 3, 3, 4, 5, 9, 9

0, 4, 5, 8 _________| 4 | ______3, 3, 4, 6, 9

1, 2 _____________ | 5 | ___________ 2, 3

0, 1, 4 ___________ | 6 | ______________

________________ | 7 | _____________ 0

Given the data :

Best actor :

40 45 64 52 38 35 48 27 60 44 32 32 33 25 37 26 61 37 37 51

Best actress :

33 53 43 46 52 24 25 32 49 39 22 35 33 39 54 43 34 70 44 25.

Stem and leaf plot involves an ordered arrangement of values by seperating the the highest placed digit of each value into stems and the other digits into leaves.

Ordering the data :

Best actor :

25, 26, 27, 32, 32, 33, 35, 37, 37, 37, 38, 40, 44, 45, 48, 51, 52, 60, 61, 64

Best actress :

22, 24, 25, 25, 32, 33, 33, 34, 35, 39, 39, 43, 43, 44, 46, 49, 52, 53, 54, 70

The values range from :

22 to 70 ;

Hence, our stems will inculude : 2, 3, 4, 5, 6 and 7