percentile
Sign in to saveIn statistics, a percentile or percentile score, also known as centile (often denoted as P_k or Pk, for a given percentage k), is a score (e.g., a data point value) below which a given fraction of all scores in its frequency distribution exists ("exclusive" definition). Alternatively, it is a score or below which a given percentage of the all scores exists ("inclusive" definition). I.e., a score in the k-th percentile would be above approximately k% of all scores in its set. For example, under the exclusive definition, the 97th percentile (P97) is the value such that 97% of the data points are
Article
13 sectionsContents
- Definitions
- In the normal distribution
- Applications
- Calculation methods
- The nearest-rank method
- The CDF method
- The linear interpolation between closest ranks method
- First variant, ''C'' = 1/2
- Second variant, ''C'' = 1
- Third variant, ''C'' = 0
- {{anchor|Weighted percentile}}The weighted percentile method
- See also
- References
In statistics, a percentile or percentile score, also known as centile (often denoted as P_k or Pk, for a given percentage k), is a score (e.g., a data point value) below which a given fraction of all scores in its frequency distribution exists ("exclusive" definition). Alternatively, it is a score or below which a given percentage of the all scores exists ("inclusive" definition). I.e., a score in the k-th percentile would be above approximately k% of all scores in its set. For example, under the exclusive definition, the 97th percentile (P97) is the value such that 97% of the data points are less than it. Percentiles assume scores are pre-sorted.
Percentiles are a type of quantiles, obtained by a subdivision into 100 groups. The 25th percentile (P25) is also known as the first quartile (Q1), the 50th percentile (P50) as the median or second quartile (Q2), and the 75th percentile (P75) as the third quartile (Q3). For example, the 50th percentile (median) is the score (or , depending on the definition) which 50% of the scores in the distribution are found.