Topics › Statistics › Find Values from Percentiles — Inverse Normal
Statistics · EDA

Find Values from Percentiles — Inverse Normal

Given P(X < x) = p, find x by looking up z in the z-table, then solving x = μ + z·σ.

StatisticsCommon Core SP-2.BEDAVerified correct ✓

Worked examples

A normal distribution has mean μ = 1000 and standard deviation σ = 5. Find the value x at the 97.5th percentile. Use z ≈ 1.960. Round to 4 decimal places.
Answer: 1009.8
A normal distribution has mean μ = 1000 and standard deviation σ = 15. Find the value x at the 10th percentile. Use z ≈ -1.282. Round to 4 decimal places.
Answer: 980.77

Every problem on Pounce is generated and checked by code — never a wrong answer key.

Master Find Values from Percentiles — Inverse Normal

Code-verified problems at exactly the right level, explained the way your kid learns.

Start your free trial 🐾

Build up to this

Normal Probability Calculations Using z-tables

More Statistics topics

Frequency Tables — Relative Frequency and Marginal DistributionsCompare Distributions — Shape, Center, Spread, and Outliers (SOCS)Dot Plots and Histograms — Construct and InterpretBoxplots and the Five-Number SummaryMean and Standard Deviation — Compute and InterpretStandardized Scores (z-scores) — Position Within a DistributionNormal Distribution — The 68-95-99.7 Empirical RuleNormal Probability Calculations Using z-tables