The following data represent the ages of award winners for best actor and best a

Question

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) -(b) below. Best Actor Ages Full data set 46 34 47 52 40 Best Actress Ages 37 35 38 49 51 32 35 28 23 35 21 34 35 47 32 53 25 31 72 25 (a) Construct an ordered back to back stem-and-leaf display. Best Actor Ag est Actress Age (b) Compare the two populations. What can you conclude from the back to back stem-and-leaf display? O A. Both men and women receive more awards on average as they get older 0 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 O C. Most men and most women receive awards in their twenties and thirties. 0 D. 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

Explanation / Answer

Solution :
Given data best actor ages is 46,36,47,50,37,38,51,36,34,60,52,44,35,49,32,53,40,63,40,25

=> ordering form is 25 , 32 , 34 , 35 , 36 , 36 , 37 , 38 , 40 , 40 , 44 , 46 , 47 , 49 , 50 , 51 , 52 , 53 , 60 , 63  

best actress ages is 35,28,21,27,33,34,26,47,53,23,44,31,72,35,25,32,30,35,42,63

=> ordering form is 21 , 23 , 25 , 26 , 27 , 28 , 30 , 31 , 32 , 33 , 34 , 35 , 35 , 35 , 42 , 44 , 47 , 53 , 63 , 72

(a) stem and leaf plot

Best actor age Best actress age

5 | 2 | 1 3 5 6 7 8
| |
8 7 6 6 5 4 2 | 3 | 0 1 2 3 4 5 5 5
| |
9 7 6 4 0 0 | 4 | 2 4 7
| |
3 2 1 0 | 5 | 3
| |
3 0 | 6 | 3
| |
| 7 | 2

(b) option D. 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.   

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