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CalcVerse📊 Stats & DataNormal Distribution & Z-Score

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Normal Distribution & Z-Score

Bell curve, z-scores and the 68–95–99.7 rule

Grades 10–12

Normal Distribution & Z-Score

μ (mean)

σ (std dev)

x value

Z-Score

1.500

z = (x − μ) / σ = (1.5 − 0) / 1

P(X < 1.5)93.32%

P(X > 1.5)6.68%

68 – 95 – 99.7 Rule

±1σ

68.27%

±2σ

95.45%

±3σ

99.73%