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Theoretically, it is the distribution of a statistic based on all possible samples of a given size. In practice, it may be the distribution under repeated samples.

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Q: What is sample distribution?
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Related questions

What is the expected shape of the distribution of the sample mean?

The distribution of the sample mean is bell-shaped or is a normal distribution.


The distribution of sample means is not always a normal distribution Under what circumstances will the distribution of sample means not be normal?

The distribution of sample means will not be normal if the number of samples does not reach 30.


What is the shape of the distribution of the mean of a sample?

The mean of a sample is a single value and so its distribution is a single value with probability 1.


Does the distribution of sample means have a standard deviation that increases with the sample size?

No, it is not.


What does the Central Limit Theorem say about the traditional sample size that separates a large sample size from a small sample size?

The Central Limit Theorem states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger — no matter what the shape of the population distribution. This fact holds especially true for sample sizes over 30.


What happens to the distribution of the sample means if the sample size is increased?

the means does not change


Is it possible for sample not normal to be from normal population?

Yes. You could have a biased sample. Its distribution would not necessarily match the distribution of the parent population.


What is random distribution in biology?

A random distribution is a random sample set displayed in the form of a bell curve. See random sample set.


What distribution does the F distribution approach as the sample size increases?

The F distribution is used to test whether two population variances are the same. The sampled populations must follow the normal distribution. Therefore, as the sample size increases, the F distribution approaches the normal distribution.


Is the sample size in poisson probability distribution?

It can be.


What is the mean of the sampling distribution of the sample mean?

Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample. Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution." When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.


What is the sampling distribution of sample means and why is it useful?

Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample. Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution." When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.