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For 29 ordered ages the 21st value is 64 years and the 22nd is 67 years. Using i = (k/100)(n + 1), what is the 70th percentile?
AIt is 65.5 years
BIt is 67.0 years
CIt is 64.0 years
DIt is 70.0 years
Answer & Solution
Correct answer: C. It is 64.0 years
1. Here k is 70 and n is 29, so the index is 0.70 multiplied by 30.
2. That product is 21, which is a whole number.
3. A whole number index points straight at the value in that position, so the answer is the 21st age, 64 years.
4. Averaging the 21st and 22nd ages to get 65.5 years is only needed when the index is not a whole number.
_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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