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Must a quartile always be one of the observed values in a data set?
ANo, a quartile may or may not be part of the data
BYes, a quartile is always an observed value
CYes, unless the data set has an even count
DNo, a quartile is never one of the values
Answer & Solution
Correct answer: A. No, a quartile may or may not be part of the data
1. A quartile is a cut point that separates ordered data into quarters.
2. When the cut falls between two observations, the quartile is the average of them and belongs to no observation.
3. When the cut lands on an observation, the quartile is that value, so a quartile may or may not be part of the data.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.2 Measures of the Location of the Data_
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