Relative Frequency

Front

What is relative frequency?

Back

Relative frequency is the ratio of the number of times an event occurs to the total number of trials or observations. It is often expressed as a fraction, decimal, or percentage.

Front

How do you calculate relative frequency?

Back

Relative frequency is calculated using the formula: \( \text{Relative Frequency} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \)

Front

What is the difference between relative frequency and probability?

Back

Relative frequency is based on actual data from experiments or observations, while probability is a theoretical measure of how likely an event is to occur.

Front

If 10 out of 100 students prefer chocolate ice cream, what is the relative frequency of students who prefer chocolate?

Back

The relative frequency is \( \frac{10}{100} = 0.1 \) or 10%.

Front

In a survey, 30 out of 200 people said they exercise regularly. What is the relative frequency of people who exercise regularly?

Back

The relative frequency is \( \frac{30}{200} = 0.15 \) or 15%.

Front

What is a two-way table?

Back

A two-way table is a statistical table that displays the frequency distribution of two categorical variables, allowing for the analysis of the relationship between them.

Front

How can you use a two-way table to find relative frequency?

Back

To find relative frequency using a two-way table, divide the frequency of the specific category by the total frequency of all categories.

Front

If 45 out of 100 students have brown hair, what percentage of students have brown hair?

Back

The percentage is \( \frac{45}{100} \times 100 = 45\% \).

Front

What is the relative frequency of students who have visited Maine if 15 out of 100 students have visited?

Back

The relative frequency is \( \frac{15}{100} = 0.15 \) or 15%.

Front

What does it mean if the relative frequency of an event is 0.25?

Back

It means that the event occurs 25% of the time in the observed data.