Normal Distribution Upper And Lower Bounds Calculator

Normal distribution, also known as the Gaussian distribution, is a fundamental concept in statistics. Understanding and calculating its upper and lower bounds is crucial in various fields, including finance, engineering, and quality control.

1. Enter the mean (μ) and standard deviation (σ) of your data.
2. Select your desired confidence level.
3. Click ‘Calculate’.

The formula for calculating the upper and lower bounds of a normal distribution is:

Upper Bound = μ + Z * σ

Lower Bound = μ – Z * σ

where Z is the Z-score corresponding to your chosen confidence level.

Comparison of Z-scores for different confidence levels

Confidence Level	Z-score
90%	1.645
95%	1.96
99%	2.576

• Always ensure your data is normally distributed before using this calculator.
• Consider using a different statistical method if your data is not normally distributed.

What is the difference between mean, median, and mode?

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For more information, see the following authoritative sources:

• NIST’s Engineering Statistics Handbook
• Statistics How To