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
31
54
48
47
42
37
29
49
31
43
40
36
35
33
22
28
34
39
61
60
50
39
33
37
31
51
49
26
38
30
25
33
43
53
44
54
70
63
22
28
(a) Construct an ordered back to back stem-and-leaf display.
Best Actor Age
Best Actress Age
nothing
2

nothing
nothing
3

nothing
nothing
4

nothing
nothing
5

nothing
nothing
6

nothing

7

nothing
(b) Compare the two populations. What can you conclude from the back to back stem-and-leaf display?
A.
Both men and women receive more awards on average as they get older.
B.
While most men and most women receive an award in their thirties, men tend to receive the award at a younger age on average than women do.
C.
While most men and most women receive an award in their thirties, women tend to receive the award at a younger age on average than men do.
D.
Most men and most women receive awards in their twenties and thirties.