Solved on Dec 14, 2023
Determine if the average weight of babies born in a week is a discrete or continuous variable.
STEP 1
Assumptions
1. The variable in question is the average weight of babies born in a week.
2. We need to determine if this variable is discrete or continuous.
STEP 2
Understand the difference between discrete and continuous variables.
- Discrete variables are countable and often represent whole numbers. They can take on a finite or countably infinite number of values.
- Continuous variables can take on any value within a given range. They are measurable and can represent fractions or decimals.
STEP 3
Analyze the variable in question.
The weight of a baby can vary continuously within a range (from the lightest possible weight to the heaviest possible weight) and can be measured with increasing precision, such as pounds and ounces, or kilograms and grams.
STEP 4
Determine the nature of the variable.
Since the weight of babies can take on any value within a range and can be measured to a high degree of precision, it is a continuous variable.
STEP 5
Identify the variable as continuous.
The average weight of babies born in a week is a continuous variable because it is a measure of weight, which can take on any value within a range and is not countable.
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