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Normal Distribution and Standardization

by Anonymous

Adjust the mean and standard deviation to shape a normal curve, confirm the 68–95–99.7 rule, and standardize with z to read probabilities.

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About this app

An interactive learning app for exploring normal distributions and standardization. Adjust the mean and standard deviation to see how the bell curve shifts and changes shape, review the 68–95–99.7 rule, and calculate z-scores with the probability to the left of a selected value. Guided missions provide practice with changing parameters, selecting standard-deviation intervals, and interpreting z.

Use cases

  • High school students studying probability and statistics
  • Teachers demonstrating normal-distribution concepts
  • Learners practicing the 68–95–99.7 rule
  • Students connecting raw values to z-scores
  • Classroom review of standardization basics

Features

  • Interactive normal curve with adjustable mean and standard deviation
  • Visual comparison with the standard normal distribution (m=0, s=1)
  • 1s, 2s, and 3s interval views showing approximately 68%, 95%, and 99.7%
  • z-score calculation using z = (x βˆ’ m) Γ· s
  • Displayed probability to the left of x
  • Step-by-step missions with reset and next controls