Raw Score Calculator

Your details

Choose the direction of the calculation.
The arithmetic mean of the distribution (mu).
μ
Population standard deviation (sigma). Must be greater than zero.
σ
The standardised score (number of standard deviations from the mean).
Raw scoreBetween 1 and 2 SDs
122.5

The value on the original measurement scale corresponding to the given z-score.

Z-score1.5
Percentile rank0.93%
Two-tailed p-value0.1336
1.593.3% below · Z-score

Z-score: 1.5000 | Raw score: 122.5000 | Percentile: 93.3%

  • The raw score 122.5000 is 1.50 standard deviations above the mean (100).
  • This score sits at the 93.3th percentile, meaning 93.3% of the distribution falls at or below it.
  • With a two-tailed p-value of 0.1336, a result this extreme is not statistically significant at the 5% level.
  • The middle 95% of this distribution spans from 70.60 to 129.40.

Next stepUse the percentile rank to compare this score to a reference population, or toggle the mode to go in the other direction.

 = Powered by OnlyCalculators