What statement best defines a quantile?

What statement best defines a quantile?

• A. The maximum value in a data set.
• B. Values that split a data set into equal portions.
• C. A measure of data dispersion around the mean.
• D. The average of all observations.

Answer: (B)

Quantiles are cutpoints that divide a dataset into equal-sized portions when the data are ordered. A quantile is a value below which a specified percentage of observations fall. This includes quartiles (four parts), the median (the 50th percentile), and percentiles (one hundred parts). The maximum or the mean and dispersion measures are not quantiles, so the description that quantiles are values that split a data set into equal portions is the correct way to define them. The median serves as the 50th percentile, illustrating how a quantile marks a point that partitions the data by proportion.

Quantiles are cutpoints that divide a dataset into equal-sized portions when the data are ordered. A quantile is a value below which a specified percentage of observations fall. This includes quartiles (four parts), the median (the 50th percentile), and percentiles (one hundred parts). The maximum or the mean and dispersion measures are not quantiles, so the description that quantiles are values that split a data set into equal portions is the correct way to define them. The median serves as the 50th percentile, illustrating how a quantile marks a point that partitions the data by proportion.