- #1

dekra2000

- 1

- 0

thanks for help

You are using an out of date browser. It may not display this or other websites correctly.

You should upgrade or use an alternative browser.

You should upgrade or use an alternative browser.

- MHB
- Thread starter dekra2000
- Start date

In summary, the expression for normal distribution is given by the probability density function (PDF) of the normal distribution. The mean (μ) represents the center point of the curve and the most probable value, while the standard deviation (σ) measures the spread of the data from the mean. Normal distribution is commonly used in statistics to model and analyze continuous data, calculate probabilities, and make predictions. The 68-95-99.7 rule is a commonly used rule that states approximately 68%, 95%, and 99.7% of the data falls within one, two, and three standard deviations of the mean, respectively. It is also known as the empirical rule or the 3-sigma rule.

- #1

dekra2000

- 1

- 0

thanks for help

Physics news on Phys.org

- #2

Greg

Gold Member

MHB

- 1,378

- 0

Hi dekra2000 and welcome to MHB!

Any thoughts on how to begin?

The expression for normal distribution is given by the probability density function (PDF) of the normal distribution, which is:

f(x) = (1/√(2πσ^2)) * e^(-1/2((x-μ)/σ)^2)

μ represents the mean or average of the distribution. It is the center point of the curve and indicates the most probable value.

σ represents the standard deviation of the distribution. It measures how spread out the data is from the mean. A smaller σ indicates a narrower curve and a larger σ indicates a wider curve.

Normal distribution is commonly used in statistics to model and analyze continuous data. It is used to calculate probabilities and make predictions about a population based on a sample. It is also used in hypothesis testing and to determine confidence intervals.

The 68-95-99.7 rule is a commonly used rule of thumb in normal distribution. It states that approximately 68% of the data falls within one standard deviation (σ) of the mean (μ), 95% falls within two σ of the mean, and 99.7% falls within three σ of the mean. This rule is also known as the empirical rule or the 3-sigma rule.

- Replies
- 3

- Views
- 592

- Replies
- 3

- Views
- 998

- Replies
- 2

- Views
- 831

- Replies
- 2

- Views
- 1K

- Replies
- 5

- Views
- 2K

- Replies
- 7

- Views
- 1K

- Replies
- 7

- Views
- 359

- Replies
- 1

- Views
- 2K

- Replies
- 7

- Views
- 1K

- Replies
- 30

- Views
- 3K

Share: