QuestionClassify these variables as continuous or discrete: song length, people in line, tree height, dice roll. Explain your choice.
Studdy Solution
STEP 1
Assumptions1. We are identifying variables as either continuous or discrete.
. A continuous variable is a variable that has an infinite number of possible values.
3. A discrete variable is a variable that has a finite number of possible values.
STEP 2
We start with the first variable, the length of a song. This variable can take on any value within a certain range (for example, a song could be.25 minutes,.26 minutes,.265 minutes, etc.), so it is a continuous variable.
STEP 3
The second variable is the number of people in line at a box office to purchase theater tickets. This variable can only take on whole number values (you can't have half a person), so it is a discrete variable.
STEP 4
The third variable is the height of a tree. This variable can take on any value within a certain range (a tree could be10. feet,10.51 feet,10.515 feet, etc.), so it is a continuous variable.
STEP 5
The fourth variable is the result of a roll of dice. This variable can only take on whole number values between1 and, so it is a discrete variable.
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