Question

(05.05 mc)males and females (ages 13-18) were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/tv.the survey showed the following frequencies:females—playing computer games: 4; music: 20; watching movies/tv: 16males—playing computer games: 15; music: 12; watching movies/tv: 13which of the following is a correct two-way frequency table for the data?

Explanation:

Step1: Identify raw frequency data

Female: Computer Games=4, Music=20, Movies/TV=16; Male: Computer Games=15, Music=12, Movies/TV=13

Step2: Calculate row totals

Female total: $4 + 20 + 16 = 40$; Male total: $15 + 12 + 13 = 40$

Step3: Calculate column totals

Computer Games total: $4 + 15 = 19$; Music total: $20 + 12 = 32$; Movies/TV total: $16 + 13 = 29$

Step4: Calculate grand total

$40 + 40 = 80$ (or $19 + 32 + 29 = 80$)

Step5: Match to correct table

The first table uses raw frequencies and matches all calculated totals. The other tables use relative frequencies, which are not requested (the question asks for a two-way frequency table, not relative frequency).

Answer:

A.

Male and Female Leisure Time Activity Preferences	Computer Games	Music	Watching movies/TV	Row totals
Male	15	12	13	40
Column totals	19	32	29	80