# Normal distribution

A normal distribution is a type of probability distribution that is symmetrical around the mean, with a bell-shaped curve. Normal distributions are important in statistics and are often used to model data. Many real-world phenomena, such as IQ scores, height, weight, and blood pressure, follow a normal distribution.

### What is normal distributions with examples?

A normal distribution is a statistical distribution that is characterized by a symmetrical bell-shaped curve. A normal distribution is defined by its center (mean) and spread (standard deviation). The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1.

Here are some examples of distributions that are normal:

-The heights of people in a population
-The test scores of students in a class
-The IQ scores of people in a population
-The weight of newborn babies in a hospital

##### What is normal distribution used for?

Normal distribution is used for many things, including:

- predicting future events (e.g. stock prices)
- analyzing results from experiments
- understanding the spread of diseases
- measuring intelligence

There are many other applications for normal distribution as well.

##### What is normal distribution and its properties?

The normal distribution is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distributions appear as a bell curve.

There are several properties of the normal distribution:

1. It is continuous, meaning that there are an infinite number of values between any two data points.
2. It is defined by its mean and standard deviation.
3. 68% of data points fall within one standard deviation of the mean, 95% fall within two standard deviations, and 99.7% fall within three standard deviations.
4. It is symmetric about the mean, with data points falling evenly on either side.
5. It is unimodal, meaning that there is only one peak in the distribution.

#### How can you tell if data is normally distributed?

There are a few ways that you can tell if data is normally distributed. One way is to look at a histogram of the data. If the data is normally distributed, the histogram should be shaped like a bell curve. Another way to tell if data is normally distributed is to calculate the skewness and kurtosis of the data. If the skewness and kurtosis are both 0, then the data is normally distributed.

### What are the 4 characteristics of a normal distribution?

1. A normal distribution is a symmetric distribution.
2. A normal distribution has a bell-shaped curve.
3. The mean, median, and mode of a normal distribution are all equal.
4. A normal distribution is defined by its mean and standard deviation.