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The standard normal curve - how to use

The standard normal curve-how to use

What is the standard normal curve?

The standard normal curve is a curve that can be generated by a function, an equation. It is bell-shaped, symmetrical, its mean is 0, and it has three standard deviations. The equation that generates the standard normal curve is:
$$y={{1\overσ\sqrt{2π}}}e^{-{(χ-μ)^2}\over2σ^2}$$

The surface area between two standard deviations can be calculated. Study the graphs below and always remember them. They are the basis of all other distributions (t-dstribution, F-distribution).
standard-normal-curve standard-normal-curve standard-normal-curve standard-normal-curve standard-normal-curve

How is the standard normal curve used?

Normal distribution, use number 1. To describe, to organize data.

Normal distribution, use number 2. Making statements of probability, betting.

Normal distribution, use number 3. To make statements regarding the reliability of a single mean.

Normal distribution, use number 4. To make statements regarding the reliability of the difference between two means.

Important tip:

Standard deviation 1.96 Percent of curve 95%


Standard deviation 2.58 Percent of curve 99%

Always remember this!
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