Multiple Choice
For each data set determine if it is quantitative or qualitative & which level of measurement best applies.
(A) A hospital records the birth weights of newborns.
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1. Intro to Stats and Collecting Data
Levels of Measurement
2:12 minutesProblem 1.1.29
Textbook Question
"In Problems 27–34, determine the level of measurement of each variable.
Volume of water used by a household in a day"
Verified step by step guidance1
Understand the four levels of measurement: nominal, ordinal, interval, and ratio. Each level has specific characteristics regarding the type of data and the operations that can be performed on it.
Identify the nature of the variable: 'Volume of water used by a household in a day' is a quantitative variable because it represents a measurable amount.
Determine if the variable has a true zero point. Since volume can be zero (no water used), this indicates the presence of an absolute zero.
Check if the variable allows for meaningful comparisons using ratios. For example, twice the volume means twice as much water, which is meaningful.
Conclude that the variable is measured at the ratio level because it is quantitative, has a true zero, and supports meaningful ratio comparisons.
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Video duration:
2mKey Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Level of Measurement
The level of measurement classifies data based on its nature and the mathematical operations that can be performed. Common levels include nominal, ordinal, interval, and ratio, each with increasing complexity and precision.
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Ratio Level Measurement
Ratio level data have all the properties of interval data, with a meaningful zero point indicating the absence of the quantity measured. This allows for comparisons using multiplication and division, such as calculating ratios or percentages.
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Continuous Quantitative Variable
A continuous quantitative variable can take any value within a range and is measurable, such as volume of water used. It is typically measured at the interval or ratio level, allowing for precise calculations and meaningful comparisons.
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