Which of the following examples represents a discrete data constraint with viable solutions?
• number of tests passed
• distance between points
• average score on a test
• average weight of all the newborns in a hospital ward
• Number of tests passed: This represents a discrete data constraint because the number of tests passed can only be a whole number (e.g. 0, 1, 2, etc.) and cannot have fractions or decimals. Viable solutions could include any whole number greater than or equal to zero.
Example: The number of tests passed by a student can be 0, 1, 2, 3, etc.
• Distance between points: This represents a continuous data constraint because the distance between two points can have fractional or decimal values. Viable solutions could include any positive number.
Example: The distance between two cities could be 10.5 kilometers or 3.7 miles.
• Average score on a test: This represents a continuous data constraint because the average score can have fractional or decimal values. Viable solutions could include any number between 0 and the maximum possible score.
Example: The average score on a test could be 78.5%.
• Average weight of all the newborns in a hospital ward: This represents a continuous data constraint because the average weight can have fractional or decimal values. Viable solutions could include any positive number.
Example: The average weight of newborns in a hospital ward could be 3.2 kilograms or 7.1 pounds.