12.2 Distribution Tables & Frequencies

The results of a survey of students’ music preferences are organized in this frequency table.

Find the relative frequency of classical music.
Remember to reduce your answer!

•  $\frac{5}{40}$  

•  $5$  

•  $\frac{1}{8}$  

•  $\frac{3}{20}$  

The results of a survey of students’ music preferences are organized in this frequency table.

Find the relative frequency of rock music.
Remember to reduce your answer!

•  $\frac{1}{4}$  

•  $10$  

•  $\frac{1}{10}$  

•  $\frac{10}{40}$  

The results of a survey of students’ music preferences are organized in this frequency table.

Find the relative frequency of alternative music.
Remember to reduce your answer!

•  $\frac{3}{10}$   

•  $6$  

•  $\frac{6}{40}$  

•  $\frac{3}{20}$  

A spinner has 3 equal sections colored red, blue, and green. A student conducts an experiment where she spins the spinner twice and records the results. The results are shown in the frequency table above.

What is the probability of spinning red exactly once on the next two spins?

•  $\frac{3}{20}$  

•  $\frac{13}{23}$  

•  $\frac{16}{23}$  

•  $\frac{5}{21}$  

A spinner has 3 equal sections colored red, blue, and green. A student conducts an experiment where she spins the spinner twice and records the results. The results are shown in the frequency table above.

What is the probability of spinning blue twice on the next two spins?

•  $\frac{1}{23}$  

•  $\frac{13}{23}$  

•  $\frac{12}{23}$  

•  $\frac{5}{23}$  

A student records the favorite season for 50 students.

The results are shown in the table at the right.

What is the relative frequency of spring?

• $\frac{19}{50}$

• $\frac{7}{50}$

• $13$

• $\frac{13}{50}$

A student records the favorite season for 50 students.The results are shown in the table at the right.

What is the relative frequency of winter?

•  $\frac{11}{50}$  

• $\frac{7}{50}$

• $\frac{13}{50}$

•  $7$  

A track coach makes the probability distribution below for the number of wins for some of the team members. Explain the error the coach made when making the table above.

• The frequency does not add to 100.

• The probability needs to be number of wins over the frequency.

• The probability should be out of 25 not 10.

• The coach did not make any errors.

A student randomly chooses songs on her iPod to play. Out of 30 different choices, she chooses 8 hip-hop songs, 4 country songs, 11 rock songs, and 7 classical songs. What is the probability that the student chooses a country song? Round to the nearest hundredth.

• 0.367

• 0.133

• 0.267

• 7.5

A survey was given to 100 teenagers to determine their favorite way to stay entertained during quarantine. The results show that 49 students watch Netflix, 22 students listen to music, 14 students FaceTime their friends, and 15 students workout.

What is the relative frequency of students who like to watch Netflix?

• 50%

• 2.04%

• 49%

• 22%