at the beginning of ms. carrolls gym class, the students voted for the game they wanted to play. there were…

at the beginning of ms. carrolls gym class, the students voted for the game they wanted to play. there were 4 votes for kickball, 4 votes for basketball, 4 votes for soccer, and 8 votes for volleyball. select all of the statements that describe the data. the modes of the data are kickball, basketball, and soccer. there were more votes for soccer than for kickball. there were exactly 20 students in the class. fewer than half of the students voted for volleyball.

at the beginning of ms. carrolls gym class, the students voted for the game they wanted to play. there were 4 votes for kickball, 4 votes for basketball, 4 votes for soccer, and 8 votes for volleyball. select all of the statements that describe the data. the modes of the data are kickball, basketball, and soccer. there were more votes for soccer than for kickball. there were exactly 20 students in the class. fewer than half of the students voted for volleyball.

Answer

Answer:

  1. The modes of the data are kickball, basketball, and soccer.
  2. There were exactly 20 students in the class.
  3. Fewer than half of the students voted for volleyball.

Explanation:

Step1: Define mode

The mode is the value that appears most frequently in a data - set. Kickball, basketball, and soccer each have 4 votes (the most - frequent non - unique number of votes), so they are the modes.

Step2: Calculate total number of students

Add the number of votes: $4 + 4+4 + 8=20$. So there are 20 students in the class.

Step3: Check volleyball vote proportion

Half of 20 is 10. Since there are 8 votes for volleyball, $8<10$, so fewer than half of the students voted for volleyball.

Step4: Analyze soccer and kickball votes

There are 4 votes for soccer and 4 votes for kickball, so the statement "There were more votes for soccer than for kickball" is false.