Following are the running times (in minutes) for the 12 top-grossing movies rated PG or PG-13, and the 12 top-grossing movies rated R, for the recent weekend. Construct back-to-back stem-and-leaf plots for these data sets. If there are no leaves on a particular stem, select the "None" button.

Question

Following are the running times (in minutes) for the 12 top-grossing movies rated PG or PG-13, and the 12 top-grossing movies rated R, for the recent weekend. Construct back-to-back stem-and-leaf plots for these data sets. If there are no leaves on a particular stem, select the "None" button.
Movies rated pg or pg-13 VS Movies Rated R
Wreck-It Ralph	108	Silver Linings Playbook	122
Lincoln	145	A Good Day to Die Hard	97
Quartet	98	Parker	118
Dark Skies	97	Zero Dark Thirty	157
Life of Pi	126	Argo	120
Escape From Planet Earth	89	Phantom	97
The Hobbit: An Unexpected Journey	166	Identity Thief	111
Emperor	98	Spring Breakers	94
The Last Exorcism Part II	88	21 and Over	93
Warm Bodies	97	Hansel and Gretel: Witch Hunters	88
The Incredible Burt Wonderstone	100	Dead Man Down	110
Snitch	112	The Call	95

GPT-4o mini · Answer

To create a back-to-back stem-and-leaf plot for the running times of PG or PG-13 movies versus R-rated movies, we first need to organize the data into stems and leaves.

Step 1: Organize the data

PG or PG-13 Movies' Running Times:

Wreck-It Ralph: 108
Lincoln: 145
Quartet: 98
Dark Skies: 97
Life of Pi: 126
Escape From Planet Earth: 89
The Hobbit: An Unexpected Journey: 166
Emperor: 98
The Last Exorcism Part II: 88
Warm Bodies: 97
The Incredible Burt Wonderstone: 100
Snitch: 112

Sorted PG or PG-13 Movies: 88, 89, 97, 97, 98, 98, 100, 108, 112, 126, 145, 166

R-rated Movies' Running Times:

Silver Linings Playbook: 122
A Good Day to Die Hard: 97
Parker: 118
Zero Dark Thirty: 157
Argo: 120
Phantom: 97
Identity Thief: 111
Spring Breakers: 94
21 and Over: 93
The Call: 95
Dead Man Down: 110
Hansel and Gretel: Witch Hunters: 88

Sorted R-rated Movies: 88, 93, 94, 95, 97, 97, 110, 111, 118, 120, 122, 157

Step 2: Create the Stem-and-Leaf Plot

Stems: 8, 9, 10, 11, 12, 13, 14, 15, 16

The stems are the tens digits, and the leaves are the units digits. In this case, the leaves will be organized on either side of the stems for PG, PG-13 movies (left) and R-rated movies (right).

            PG / PG-13          |   R
Stem        Leaves             |   Leaves
----------------------------------------------
8          8 9                 | 8
9                               | 3 4 5 7 7
10         0 8 12              | 0 1 8
11                             | 0 1 8
12         -                   | 0 2 
13                             | -
14         5                   | -
15                             | 7
16         6                   | -

Notes on the Plot:

The values on the left represent the leaves for PG or PG-13 movies and those on the right represent the R-rated movies.
The dash "-" indicates that there are no leaves for that stem.

Final Back-to-Back Stem-and-Leaf Plot:

            PG / PG-13          |   R
Stem        Leaves             |   Leaves
----------------------------------------------
8          8 9                 | 8
9                               | 3 4 5 7 7
10         0 8 12              | 0 1 8
11                             | 0 1 8
12                             | 0 2 
13                             | -
14         5                   | -
15                             | 7
16         6                   | -

This plot represents the running times for the movies rated PG/PG-13 and R on a back-to-back stem-and-leaf plot efficiently.