# 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).

#### 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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