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learn.howToCalculate

learn.whatIsHeading

A z-score (standard score) expresses a value's distance from the population mean in standard deviation units. z = (x − μ) / σ. Positive z = above average; negative z = below average.

ଷ୍ଟେପ୍-ଷ୍ଟେପ୍ ଗାଇଡ୍ |

  1. 1z = (x − μ) / σ
  2. 2Percentile from z-score: use standard normal CDF
  3. 3z=1.96 → 97.5th percentile
  4. 4Enables comparison across different measurement scales

ସମାଧାନ ହୋଇଥିବା ଉଦାହରଣ

ଇନପୁଟ୍
Score 85 · Mean 70 · SD 15
ଫଳ
z = 1.0 → 84th percentile
(85-70)/15=1.0; P(Z<1)=84.1%

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