Relative frequencies practice

1. In a survey of 500 students, 300 reported owning a smartphone. What is the relative frequency of students who own a smartphone?

Relative frequency = (Number of students owning a smartphone / Total number of students) x 100
Relative frequency = (300 / 500) x 100
Relative frequency = 0.6 x 100
Relative frequency = 60%

Therefore, the relative frequency of students who own a smartphone is 60%.

2. In a study of 100 employees, 20 reported feeling stressed at work. What is the relative frequency of employees who feel stressed at work?

Relative frequency = (Number of employees feeling stressed / Total number of employees) x 100
Relative frequency = (20 / 100) x 100
Relative frequency = 0.2 x 100
Relative frequency = 20%

Therefore, the relative frequency of employees who feel stressed at work is 20%.

3. In a survey of 400 households, 100 reported having a pet. What is the relative frequency of households with pets?

Relative frequency = (Number of households with pets / Total number of households) x 100
Relative frequency = (100 / 400) x 100
Relative frequency = 0.25 x 100
Relative frequency = 25%

Therefore, the relative frequency of households with pets is 25%.

4. In a poll of 300 voters, 150 stated that they would vote for candidate A. What is the relative frequency of voters who would vote for candidate A?

Relative frequency = (Number of voters voting for candidate A / Total number of voters) x 100
Relative frequency = (150 / 300) x 100
Relative frequency = 0.5 x 100
Relative frequency = 50%

Therefore, the relative frequency of voters who would vote for candidate A is 50%.