"Threaded Problem: Tornado The data set “Tornadoes_2017” located at www.pearsonhighered.com/ sullivanstats contains a variety of variables that were measured for all tornadoes in the United States in 2017. For each of the following variables in the data set, indicate the level of measurement of each variable.


Length"

Verified step by step guidance

1. Understand the concept of levels of measurement, which classify variables into four types: nominal, ordinal, interval, and ratio.
2. Recall that the 'Length' of a tornado is a quantitative variable that measures a physical distance, typically in miles or kilometers.
3. Since 'Length' represents a measurable quantity with a true zero point (no length means zero), it is not just ordered but also has meaningful ratios between values.
4. Identify that variables with these properties (quantitative, meaningful zero, and ratios) are classified as ratio level of measurement.
5. Therefore, conclude that the 'Length' variable in the Tornadoes_2017 data set is measured at the ratio level.

Key Concepts

Levels of Measurement

Levels of measurement classify data based on their nature and the mathematical operations that can be performed. The four common levels are nominal, ordinal, interval, and ratio. Understanding these levels helps determine appropriate statistical analyses and interpretations.

Ratio Level of Measurement

The ratio level is the highest measurement level, characterized by a true zero point and equal intervals between values. Variables measured at this level allow for meaningful comparisons using multiplication and division, such as length, weight, or time.

Variable Types in Data Sets

Variables in data sets can be quantitative or qualitative. Quantitative variables, like length, represent measurable quantities and are often measured at interval or ratio levels. Identifying the type of variable is essential for selecting the correct level of measurement.