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TI-84 Plus STAT CALC
normalcdf
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z-score
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normalcdf Result

AP Statistics Tool

Normal Distribution Calculator

A TI-84 style calculator for AP Statistics. Switch between three modes using the tabs on the screen.

📊 normalcdf( lower, upper, μ, σ )

Calculates the area under the normal curve between two values. Gives P(lower < X < upper).

Use -999 for negative infinity and 999 for positive infinity.

Example: normalcdf(-999, 1.5, 0, 1) = 0.9332 → P(Z < 1.5)

🔁 invNorm( area, μ, σ )

Given a left-tail area (probability), finds the corresponding cutoff value.

Example: invNorm(0.95, 0, 1) = 1.6449

📐 z-score

Calculates z = (x − μ) / σ and gives the corresponding tail probabilities.

Example: x = 75, μ = 70, σ = 5 → z = 1.00

💡 AP Exam Quick Reference

• P(Z < 1.645) ≈ 0.95 → 90% confidence critical value

• P(Z < 1.960) ≈ 0.975 → 95% confidence critical value

• P(Z < 2.576) ≈ 0.995 → 99% confidence critical value

• P(Z < -1.645) ≈ 0.05 (left tail α = 0.05)