Textbook Question
"In Problems 27–34, determine the level of measurement of each variable.
Volume of water used by a household in a day"
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1. Intro to Stats and Collecting Data
Levels of Measurement
2:27 minutesProblem 1.1.34
Textbook Question
"In Problems 27–34, determine the level of measurement of each variable.
Time of day measured in military time"
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 mathematical operations that can be performed.
Identify the nature of the variable 'Time of day measured in military time.' Military time is a way of expressing time using a 24-hour clock, such as 1300 for 1:00 PM.
Determine if the variable has a meaningful order. Since time progresses in a sequence, military time values can be ordered from earliest to latest, so it is at least ordinal.
Check if the differences between values are meaningful. For example, the difference between 1300 and 1400 is one hour, which is consistent and meaningful, indicating the variable is at least interval level.
Assess if there is a true zero point that indicates the absence of the quantity measured. Since military time starts at 0000 (midnight), which represents the start of the day (a true zero point), the variable is measured at the ratio level.
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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 in measurement.
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Interval Level of Measurement
Interval data have meaningful differences between values but no true zero point. Examples include temperature in Celsius or military time, where subtraction is meaningful but ratios are not because zero does not indicate absence of the quantity.
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Military Time as Interval Data
Military time records time on a 24-hour scale, representing hours and minutes. It is considered interval data because the differences between times are meaningful, but zero (00:00) does not mean 'no time,' so ratios are not interpretable.
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