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Boat lengths at a marina include 25 three times and 27 three times, with no other length appearing more than twice. What is the mode?
AThe mode is 25 only
BThe mode is 27 only
CThe mode is 26, the middle
DThe modes are 25 and 27
Answer & Solution
Correct answer: D. The modes are 25 and 27
1. The mode is the value with the highest frequency.
2. Both 25 and 27 occur three times, and nothing occurs more often.
3. Since the two share the highest frequency, both are modes and the data are bimodal.
4. Reporting 26 averages the two modes, but a mode must be a value that actually occurs.
_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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