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# This post addresses topics in statistics.

What are the mean, variance, and standard deviation?
How are they useful? What is a normal distribution?
How is it useful?

A population is normally distributed with a mean of 100 and a standard deviation of Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

#### Solution Preview

Another term commonly used for the mean is an average. When we're talking about the mean, we're referring to the average of the numbers used. To determine the mean, we add the numbers and divide by the number of numbers present. It is useful in many different settings. The mean of a set of numbers can tell us our grade point average or the average as to how a sports team is performing. By having information that shows the mean, we are able to make further inferences or let it lead us to draw further data from the numbers. Here is additional information to help explain the statistical mean and the ways that it can be used:

The statistical variance tells us how significantly the data is apart from the expected value. If our expected value is 100 and our variance gives us 90, we have a statistical variance of 10. The actual calculation to use (the formula needed) to ...

#### Solution Summary

This solution discusses the following questions and topics:

What are the mean, variance, and standard deviation?
How are they useful? What is a normal distribution?
How is it useful?

A population is normally distributed with a mean of 100 and a standard deviation of Would it be unusual for the mean of a sample of 3 to be 115 or more? Why or why not?

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