Students in 11th and 12th grades were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/TV.

| | Computer Games | Music | Watching movies/TV | Row totals |
|---|---|---|---|---|
| 11th grade students | 4 | 20 | 16 | |
| 12th grade students | 15 | | 13 | 40 |
| Column totals | | 32 | 29 | 80 |

What is the marginal frequency of students who prefer playing computer games?
A. 4
B. 9
C. 15
D. 19

Question

Students in 11th and 12th grades were surveyed to choose a favorite free-time activity: playing computer games, listening to music, or watching movies/TV. 
 
| | Computer Games | Music | Watching movies/TV | Row totals | 
|---|---|---|---|---| 
| 11th grade students | 4 | 20 | 16 | | 
| 12th grade students | 15 | | 13 | 40 | 
| Column totals | | 32 | 29 | 80 | 
 
What is the marginal frequency of students who prefer playing computer games? 
A. 4 
B. 9 
C. 15 
D. 19

GinnyAnswer · Answer

Add the number of 11th-grade students who prefer computer games to the number of 12th-grade students who prefer computer games. 
 The number of 11th-grade students who prefer computer games is 4. 
 The number of 12th-grade students who prefer computer games is 15. 
 Calculate the sum: 4 + 15 = 19 ​ . 
 
 Explanation 
 
 Understand the problem We are given a table that shows the leisure time activity preferences of 11th and 12th grade students. The activities are computer games, music, and watching movies/TV. We want to find the marginal frequency of students who prefer playing computer games. This means we need to find the total number of students who prefer computer games, regardless of their grade. 
 
 Identify the relevant data From the table, we can see that 4 students in the 11th grade prefer computer games, and 15 students in the 12th grade prefer computer games. To find the total number of students who prefer computer games, we add these two numbers together. 
 
 Calculate the total The calculation is as follows: 4 + 15 = 19 So, the total number of students who prefer computer games is 19. 
 
 State the final answer Therefore, the marginal frequency of students who prefer playing computer games is 19.

Examples 
 Understanding marginal frequencies is useful in market research. For example, if a company wants to know how many people in a certain region prefer a particular brand of coffee, they can conduct a survey and then calculate the marginal frequency to get an estimate of the brand's popularity. This information can then be used to make decisions about marketing and product development.

Answer (1)

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