Controls
Center of the original distribution.
Typical distance from the mean.
Drag the orange point on the top graph or use this slider.
Original Distribution
meanraw valueone SD marks
x = 85
Standard Normal Scale
0z-scoreinteger z marks
z = 1.50
Raw x
85
Mean μ
70
SD σ
10
Distance
15
z-score
1.50
Tip: change the mean or standard deviation and watch the same raw score move on the standard normal scale.
Z-Score Calculation
Formula
z = x − μσ
Substitute Values
Result
Distance
15
z-score
1.50
Positive z-scores are above the mean. Negative z-scores are below the mean.