Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/tv. the survey showed the following frequencies: men—playing sports: 11; dancing: 3; watching movies/tv: 6 women—playing sports: 5; dancing: 16; watching movies/tv: 9 which of the following is a correct two-way frequency table for the data?

The two-way table is attached.

Step-by-step explanation:

The activities are listed as columns, with an additional column for totals.  The genders are listed as rows, with an additional row for totals.

Step-by-step explanation:

Given that Men and women (ages 22–40) were surveyed to choose a favorite free-time activity: playing sports, dancing, or watching movies/TV. The survey showed the following frequencies: Men—playing sports: 11; dancing: 3; watching movies/TV: 6 Women—playing sports: 5; dancing: 16; watching movies/TV: 9

In two way table we can write Men and women as rows, and columns as the name of hobbies such as playing sports, dancing, etc

The two way table will be as follows:

                  Playing sports        Dancing          Watching movies     Total

Men                    11                          3                          6                       20

Women               5                          16                        9                        30

Total                   16                         19                       15                        50

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction