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Generally speaking, the kth percentile is a value at or below which at least k percent of the observations lie. Group of answer choicesTrueFalse

Question

Generally speaking, the kth percentile is a value at or below which at least k percent of the observations lie.

Group of answer choices
True
False

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Solution

The statement is True.

Explanation

Percentiles are statistical measures used to understand the distribution of a dataset. The kth percentile, by definition, is the value below which a certain percentage (k%) of the data points fall. In other words, if you have a dataset sorted in ascending order, the kth percentile is the point where at least k% of the data is equal to or less than that value.

For instance, if you have a dataset of exam scores and determine that the 70th percentile is 85, this means that 70% of the students scored 85 or below. This robust definition helps in understanding how a particular observation compares to others within a given set, offering insights into the distribution and spread of the data. Percentiles are widely used in various fields including education, health assessments, and finance to evaluate performance and assess outcomes.

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