Z-Score Calculator

Calculate the z-score (standard score) that indicates how many standard deviations a value is from the mean.

Z-स्कोर

1.500000

Absolute Distance (in SDs)1.5000
Raw Deviation15.0000

Z-Score vs Value (x)

सूत्र देखें →

सूत्र

## How to Calculate a Z-Score ### Formula **Z = (X - mu) / sigma** The z-score expresses how far a data point is from the population mean in units of standard deviations. A positive z-score means the value is above the mean; a negative z-score means below. Z-scores allow comparison across different scales and distributions.

हल किया गया उदाहरण

A student scores 85 on a test where the class mean is 70 and SD is 10.

  1. 01Z = (X - mu) / sigma
  2. 02Z = (85 - 70) / 10
  3. 03Z = 15 / 10 = 1.5
  4. 04The score is 1.5 standard deviations above the mean