Question

How are cumulative frequencies and percentiles different? How are they the same?

How are cumulative frequencies and percentiles different? How are they the same?

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Answer #1

Cumulative frequency tells you that for a given data point, how many data points in the sample is below or above that data point (determined as lower or upper cumulative frequency respectively). On the other hand percentile is a data point whose data point has some integer percentage of the total frequency as lower cumulative frequency e.g. 5th percentile implies it's lower cumulative frequency is 5% of the total frequency. Hence, cumulative frequency is a type of frequency distribution but percentile is a data point in the sample.

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