// multi-utility computation suite · offline · instant · precise
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math.stats-z-score Calculator
Converts a raw score to a z-score using the population mean and standard deviation, and looks up the corresponding percentile in the normal distribution. A z-score of +2 means the value is two standard deviations above the mean — in the 97.7th percentile.
Inputs
X
Reference formula or conversion factor shown for context.
Mu
Arithmetic average. Sensitive to outliers — if your data has extreme values, the median may be more representative.
Sigma
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%.
approx percentile
The value below which the given percentage of the data falls. The 90th percentile means 90% of values are below this point.
\u03c3 from mean
Arithmetic average — sum divided by count. Simple and familiar, but pulled by outliers. If your data contains extreme values, the median may be more representative.
grade
Letter or numerical grade indicating quality, creditworthiness, or performance on a defined scale.