Relative Frequency Worksheet

Relative Frequency Worksheet

Read each question carefully and provide your answers in the spaces provided. Show all your work for calculations.

Relative frequency is the ratio of the number of times an event occurs in an experiment to the total number of trials in the experiment. It is often used as an estimate of the probability of an event.

1. Relative frequency is calculated by dividing the number of times an event occurs by the  .

2. As the number of trials in an experiment increases, the relative frequency tends to get closer to the actual   of the event.

3. A coin is flipped 50 times. It lands on heads 28 times. What is the relative frequency of landing on heads?

4. A spinner has 4 equal sections: Red, Blue, Green, Yellow. If the spinner is spun 100 times and lands on Red 20 times, what is the relative frequency of landing on Red?

5. A factory produces light bulbs. Out of 1000 bulbs tested, 25 were found to be defective. Calculate the relative frequency of producing a defective bulb.

6. A bag contains red and blue marbles. A marble is drawn, its color is recorded, and then it is replaced. This is done 200 times. Red is drawn 120 times. What is the relative frequency of drawing a blue marble?

7. The following bar graph shows the results of rolling a fair six-sided die 60 times. Calculate the relative frequency for each outcome.

8. A biased coin is flipped. After 100 flips, the relative frequency of heads is 0.6. If the coin is flipped 200 more times, and the relative frequency of heads for all 300 flips is 0.55, how many heads appeared in the additional 200 flips?

9. Explain the difference between theoretical probability and relative frequency. Provide an example for each.