Which statement describes a percentile in a data set?

• A. It is a value that splits the data into two equal halves.
• B. A value below which a percentage of data falls; used to describe distributions.
• C. The maximum value of the dataset.
• D. The mean value.

Answer: (B)

Percentile is a value in a data set below which a given percentage of observations fall. It helps describe where a particular value sits within the overall distribution, not just the average or the extremes. For example, the 25th percentile is the value below which 25% of the data lie, and the 50th percentile is the median. This concept is used to describe how the data are spread and where most observations lie.

The statement that matches this idea says a percentile is a value below which a percentage of data falls and is used to describe distributions. That captures the general purpose of percentiles. The other options describe other statistics: the maximum is the top value, the mean is the average, and the idea of splitting data into two equal halves refers specifically to the 50th percentile (the median), which is just one special case of a percentile rather than the general concept.