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Sampling is used in statistics because you can't possibly ask everyone in the world how old they are in order to find out the average age of all humans. But by getting a representative sample, you can make a pretty accurate estimation of the average age of everyone on the planet.

Another less obvious reason sampling is used is to get rid of bias. If you ask 10 of your friends if they like apples and 9 of them say they do, you can't say that 90% of people like apples. Maybe 90% of your friends, but it's very important to get a sample that accurately represents and reflects the population you are studying.

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15y ago
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15y ago

Samples are used to describe the popularion (hence the name descriptive statistics). To perform a census or obtain data from a population is usually time consuming and costly.

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Q: Why sample used in statistic?
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What symbol is used for the standard deviation when it is a sample statistic?

σ (sigma)


A numerical value used as a summary measure for a sample such as sample mean is known as a?

This is called a sample statistic. They are often used to give a general picture of a more specific whole.


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No. A statistic is a number describing a characteristic of a sample.


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A point estimate is a single value (statistic) used to estimate a population value (parameter)true apex


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The relations depend on what measures. The sample mean is an unbiased estimate for the population mean, with maximum likelihood. The sample maximum is a lower bound for the population maximum.


What is a numerical summary of a sample?

That is the definition of a statistic


As the sample size increases what does the expected value of M do?

You have not defined M, but I will consider it is a statistic of the sample. For an random sample, the expected value of a statistic, will be a closer approximation to the parameter value of the population as the sample size increases. In more mathematical language, the measures of dispersion (standard deviation or variance) from the calculated statistic are expected to decrease as the sample size increases.


Does a parameter describe a population or a sample?

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