# What is the mean of distribution?

**mean**of the sampling

**distribution**of the

**mean**is the

**mean**of the population from which the scores were sampled. Therefore, if a population has a

**mean**μ, then the

**mean**of the sampling

**distribution**of the

**mean**is also μ.

Also to know is, what is the mean of a probability distribution?

The **mean of a probability distribution** is the long-run arithmetic average value of a random variable having that **distribution**. In this context, it is also known as the expected value.

**Sampling Distribution of the Sample Mean**. If repeated random

**samples**of a given size n are taken from a population of values for a quantitative variable, where the population

**mean**is μ (mu) and the population standard deviation is σ (sigma) then the

**mean**of all

**sample**means (x-bars) is population

**mean**μ (mu).

Also asked, what is the mean of the sample means?

**Sample Means**. The **sample mean** from a group of observations is an estimate of the population **mean** . For example, suppose the random variable X records a randomly selected student's score on a national test, where the population distribution for the score is normal with **mean** 70 and standard deviation 5 (N(70,5)).

The **mean** is the sum of the numbers in a data set divided by the total number of values in the data set. The **mean** is also known as the average. The **mean** can be used to get an overall idea or picture of the data set. **Mean** is best used for a data set with numbers that are close together.