Percentiles are values that split the data into how many equal parts?

Percentiles are values that split the data into how many equal parts?

• A. a type of quantile; they are values that split the data into 100 equal parts.
• B. the middle 50% of the data.
• C. values that split the data into four equal parts.
• D. a measure of central tendency.

Answer: (A)

Percentiles are a type of quantile that divide the data into 100 equal parts. The pth percentile is the value below which p percent of observations fall, so they show how a value compares to the entire distribution. This is why percentiles are used to understand relative standing, such as knowing what percentile a score falls into. The middle 50% of the data, by contrast, is defined by the interquartile range (between the 25th and 75th percentiles), not by the entire percentile concept. Splitting the data into four equal parts refers to quartiles, not percentiles. And a percentile is not a measure of central tendency (like the mean or median), which describe a typical value rather than a position within the distribution. So percentiles split the data into 100 equal parts.

Percentiles are a type of quantile that divide the data into 100 equal parts. The pth percentile is the value below which p percent of observations fall, so they show how a value compares to the entire distribution. This is why percentiles are used to understand relative standing, such as knowing what percentile a score falls into.

The middle 50% of the data, by contrast, is defined by the interquartile range (between the 25th and 75th percentiles), not by the entire percentile concept. Splitting the data into four equal parts refers to quartiles, not percentiles. And a percentile is not a measure of central tendency (like the mean or median), which describe a typical value rather than a position within the distribution.

So percentiles split the data into 100 equal parts.