Experimental & Theoretical Probability Warmup 2

​ (a)   is the number of times that something occurs.

• Frequency

• Relative Frequency

• Percentage

Answer explanation

Frequency is the number of times that something occurs.

​ (a)   tells us the number of times something occurs compared to the ​ (b)  

• Relative Frequency

• total

• Frequency

• percentage

• column

• row

Answer explanation

Relative Frequency tells us the number of times something occurs compared to the total.

To calculate the relative frequency, what ratio do you set up?

Answer explanation

To calculate the relative frequency, you set up the ratio of frequency to the total number of observations.

Erika wanted to see if there was a relationship between how often someone eats fast food in a week and how the person gets to work each day. She conducted a survey where participants answered how often they eat fast food as well as whether they drive to work or use public transportation.

Erika wants to know the relative frequency of participants who eat fast food 3 or more times a week. Which ratio should she use to calculate her percentage?

Answer explanation

To calculate the relative frequency of participants who eat fast food 3 or more times a week, Erika should use the ratio 91/167 as it represents the number of participants who eat fast food 3 or more times out of the total participants.

Erika wanted to see if there was a relationship between how often someone eats fast food in a week and how the person gets to work each day. She conducted a survey where participants answered how often they eat fast food as well as whether they drive to work or use public transportation.

What is the relative frequency of participants who drive to work?

• 87%

• 50%

• 61%

• 55%

Answer explanation

The relative frequency of participants who drive to work is 61% as stated in the correct answer choice.

Students in a middle school were asked about their favorite movie genre. The results are organized in the two-way table.

What is the relative frequency of people whose favorite movie genre is action.

• 48%

• 51%

• 26%

• 23%

• 28%

Answer explanation

The relative frequency of people whose favorite movie genre is action is calculated by dividing the number of people who like action movies by the total number of students, which is 23%.