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In a list of 29 ages, 18 ages are below 58 and one age equals 58. What percentile is the age 58?
AThe 58th percentile
BThe 64th percentile
CThe 62nd percentile
DThe 66th percentile
Answer & Solution
Correct answer: B. The 64th percentile
1. The count below the value is x, which is 18 ages.
2. The count of ages equal to the value is y, which is 1 age.
3. The numerator is 18 plus half of 1, which is 18.5.
4. Dividing 18.5 by 29 and multiplying by 100 gives 63.80.
5. Rounding to the nearest whole number makes 58 the 64th percentile.
6. Reading 58 as its own percentile confuses the value with its rank, and 62 or 66 follow from dropping or double counting the tied age.
_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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