is 5th percentile is spread, center or neither??

Expert Solution

The center of a data set is a single value which we use for the whole data set, we usually use mean or median for the center.

A measure of spread or measure of dispersion, is used to describe the variability in a data set. Measures of spread include the range, quartiles and the interquartile range, variance and standard deviation.

Talking about percentiles, they are statistical measures of position. They do not measure a central tendency or a spread (dispersion) . Percentiles indicate the value below which a given percentage of observations in a group of observations fall. The 5th percentile is the value below which 5% of the observations may be found.

So, 5th percentile is neither spread or center. It is a measure of position.

orchestra answered 2 years ago

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