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A sample has 100 values. Where does the median sit in the ordered data?
AAt the 50th value in the order
BAt the 51st value in the order
CAt the 100.5th place in the order
DMidway between the 50th and 51st
Answer & Solution
Correct answer: D. Midway between the 50th and 51st
1. The location of the median is (n + 1) divided by 2.
2. With n equal to 100 that gives 101 divided by 2, which is 50.5.
3. A location of 50.5 is not a real position, so the median lies midway between the 50th and 51st values.
4. Naming the 50th value alone ignores the second of the two middle observations.
_Source: OpenStax Introductory Business Statistics (CC BY 4.0), Ch 2 "Descriptive Statistics", section 2.3 Measures of the Center of the Data_
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