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For 40 ordered survival times the median location is 20.5, and both the 20th and 21st values are 24 months. What is the median?
AThe median is 24 months
BThe median is 20.5 months
CThe median is 23.6 months
DThe median is 22.5 months
Answer & Solution
Correct answer: A. The median is 24 months
1. The location 20.5 says the median lies between the 20th and 21st observations.
2. Both of those observations are 24 months.
3. Averaging 24 and 24 gives 24 months, so the median is 24 months.
4. A value of 20.5 months reports the location rather than the value, which are two different things.
_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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