Z-Score Calculator
Statistics
Intro: Compute a standardized z-score and (optionally) its normal percentile.
Worked example
- $x=85, μ=80, σ=10$
- $\displaystyle z=\frac{85-80}{10}=0.5$.
- Percentile $\approx \Phi(0.5)=0.6915\,(69.15\%)$.
- Answer: $\boxed{z=0.5,\; \text{percentile}\approx69.2\%}$.
FAQs
Use sample s instead of σ?
If μ,σ unknown, you may standardize with x̄ and s for an approximate z.
Why choose MathGPT?
- Get clear, step-by-step solutions that explain the “why,” not just the answer.
- See the rules used at each step (power, product, quotient, chain, and more).
- Optional animated walk-throughs to make tricky ideas click faster.
- Clean LaTeX rendering for notes, homework, and study guides.
How this calculator works
- Type or paste your function (LaTeX like
\sin,\lnworks too). - Press Generate a practice question button to generate the derivative and the full reasoning.
- Review each step to understand which rule was applied and why.
- Practice with similar problems to lock in the method.