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math.stats-percentile Calculator
Calculates the percentile rank of a value in a dataset and identifies quartiles (Q1, Q2, Q3) and interquartile range (IQR). The IQR (Q3−Q1) is the standard metric for identifying outliers: values more than 1.5×IQR beyond Q1 or Q3 are outlier candidates.
Inputs
X
Reference formula or conversion factor shown for context.
Mean
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Std
Reference formula or conversion factor shown for context.
N
Reference formula or conversion factor shown for context.
Results
z-score
Number of standard deviations a value is from the mean. |z| below 2: within normal range. |z| above 2: in the outer 5% of the distribution. |z| above 3: in the outer 0.3%.
percentile
The value below which the given percentage of the data falls. The 90th percentile means 90% of values are below this point.
rank approx
The position in an ordered list, from best to worst or lowest to highest.
grade
Letter or numerical grade indicating quality, creditworthiness, or performance on a defined scale.