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Which expression gives the index used to locate the kth percentile in an ordered set of n values?
Ai = (k/100)(n - 1)
Bi = (k/100)(n + 1)
Ci = (100/k)(n + 1)
Di = (k/100)(n) + 1
Answer & Solution
Correct answer: B. i = (k/100)(n + 1)
1. The index i gives the position of the wanted value in the ordered list.
2. It is the fraction k over 100 multiplied by one more than the number of data points.
3. When i comes out as a whole number the percentile is the value in that position; otherwise the values either side are averaged.
_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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