In the context of discrete data constraints, the example that represents a discrete data constraint with viable solutions is "number of tests passed."
Here's a brief explanation for each option:
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Average score on a test - This is a continuous data constraint, as scores can have decimal values and can take on a range of values.
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Average weight of all the newborns in a hospital ward - This also represents continuous data as weight is measured on a continuous scale and can include decimals.
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Number of tests passed - This is discrete data, as it can only take on whole number values (e.g., 0, 1, 2, etc.). You cannot pass a fraction of a test.
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Distance between points - This is a continuous data constraint, as distance can be measured in various units and can also include decimal values.
Therefore, the "number of tests passed" is the only discrete example listed.