Match the following levels of measurement with the statistical analysis that can be performed: Nominal | Mode Interval | Standard Deviation Ordinal | Median
Understand the Problem
The question asks us to match levels of measurement (Nominal, Interval, Ordinal) with the appropriate statistical analysis that can be performed on each. This requires understanding the properties of each measurement level and the types of analyses suitable for those properties.
Answer
Nominal: Mode; Ordinal: Median; Interval: Standard Deviation
Here's the correct matching of levels of measurement with appropriate statistical analysis:
Nominal: Mode Ordinal: Median Interval: Standard Deviation
Answer for screen readers
Here's the correct matching of levels of measurement with appropriate statistical analysis:
Nominal: Mode Ordinal: Median Interval: Standard Deviation
More Information
The level of measurement (nominal, ordinal, interval, ratio) dictates the type of statistical analysis that can be applied to the data. Nominal data, being categorical, is best described by the mode. Ordinal data, which has a meaningful order, is best described by the median. Interval data, with equal intervals between values, allows for the use of the standard deviation.
Tips
A common mistake is applying statistical analyses to levels of measurement for which they are inappropriate (e.g., calculating a mean for nominal data).
Sources
- Levels of Measurement | Nominal, Ordinal, Interval and Ratio - Scribbr - scribbr.com
- What are the four levels of measurement? - Scribbr - scribbr.com
- Types of data measurement scales: nominal, ordinal, interval, and ratio - mymarketresearchmethods.com
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