Which statement best describes the purpose of quantiles in a data set?

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Multiple Choice

Which statement best describes the purpose of quantiles in a data set?

Quantiles create cut-points that partition a data set into equal-sized portions, so a certain percentage of observations falls below each cut-point. This makes it easy to describe where data lie in relation to the rest of the distribution and compare distributions across data sets. They aren’t about measuring spread (that’s standard deviation or interquartile range), nor about weighting data to handle outliers. While the median is a specific quantile (the 50th percentile), quantiles encompass a whole set of thresholds that divide the data into equal groups, not a single value.

Quantiles create cut-points that partition a data set into equal-sized portions, so a certain percentage of observations falls below each cut-point. This makes it easy to describe where data lie in relation to the rest of the distribution and compare distributions across data sets. They aren’t about measuring spread (that’s standard deviation or interquartile range), nor about weighting data to handle outliers. While the median is a specific quantile (the 50th percentile), quantiles encompass a whole set of thresholds that divide the data into equal groups, not a single value.

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