Relative Frequency Worksheet

Relative Frequency Practice

Read each question carefully and provide clear, concise answers. Show all your work where applicable.

1. In your own words, explain what relative frequency means and how it differs from theoretical probability.

A coin is tossed 100 times. It lands on heads 58 times and tails 42 times.

2. The relative frequency of landing on heads is  .

3. The relative frequency of landing on tails is  .

4. A survey asked 200 students about their favorite sport. The results showed 80 preferred soccer, 60 preferred basketball, 40 preferred tennis, and 20 preferred swimming. What is the relative frequency of students who prefer basketball?

5. As the number of trials in an experiment increases, the relative frequency of an event tends to get closer to its theoretical probability.

6. A quality control manager inspects 500 products and finds 15 defects. Calculate the relative frequency of finding a defective product. If the company produces 10,000 products, how many defects would you expect?

7. The following bar graph shows the number of cars of different colors sold at a dealership in a month. Use the graph to answer the questions below.

a) What is the total number of cars sold?

b) Calculate the relative frequency of selling a black car.

c) Which color car has the highest relative frequency?