# Expression for normal distribution

• MHB
• dekra2000
In summary, the expression for normal distribution is given by the probability density function (PDF) of the normal distribution. The mean (&#956;) represents the center point of the curve and the most probable value, while the standard deviation (&#963;) 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.
dekra2000
Write an expression for normal distribution for the data: Measured values are: 4,393; 4,372; 4,381; 4,373 and 4,401

thanks for help

Hi dekra2000 and welcome to MHB!

Any thoughts on how to begin?

## What is the expression for normal distribution?

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)

## What does μ represent in the expression for normal distribution?

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

## What does σ represent in the expression for normal distribution?

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.

## How is normal distribution used in statistics?

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.

## What is the 68-95-99.7 rule in normal distribution?

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.

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