Statistics

Z-Score Calculator

Find how many standard deviations a value is from the mean.

Calculated Output

Z-score 1.5

Formula: z = (x − μ) ÷ σ

Step-by-Step Breakdown

1. Values used:

2. Value (x) = 85

3. Mean (μ) = 70

4. Standard deviation (σ) = 10

6. Z-score = 1.5

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The math behind it

z = (value − mean) ÷ standard deviation. z = 2 means two standard deviations above the mean.

x 85, μ 70, σ 10 → z = 1.5.

Negative z?

The value is below the mean.