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    • What Is The Mean?
    • How to Find The Mean
    • Mean Formula
    • When Do You Use The average?
    • Using Sample Means to Estimate Population Means

    The mean in math and statisticssummarizes an entire dataset with a single number representing the data’s center point or typical value. It is also known as the arithmetic mean, and it is the most common measure of central tendency. It is frequently called the “average.” Learn how to find the mean and know when it is and is not a good statistic to u...

    Finding the mean is very simple. Just add all the values and divide by the number of observations. The mean formula is below: For example, if the heights of five people are 48, 51, 52, 54, and 56 inches. Here’s how to find the mean: 48 + 51 + 52 + 54 + 56 / 5 = 52.2 Their average height is 52.2 inches.

    There are two versions of the mean formula in math—the sample and populationformulas. In each case, the process for how to find the mean mathematically does not change. Add the values and divide by the number of values. However, the formula notation differs between the two types.

    Ideally, the mean in math (aka the average) indicates the region where most values in a distribution fall. Statisticians refer to it as the central location of a distribution. You can think of it as the tendency of data to cluster around a middle value. The histogrambelow illustrates the average accurately finding the center of the data’s distribut...

    In statistics, analysts often use a sample average to estimate a population mean. For small samples, the sample can differ greatly from the population. However, as the sample size grows, the law of large numbersstates that the sample average is likely to be close to the population value. Hypothesis tests, such as t-tests and ANOVA, use samples to d...

  2. not measured, counted, or clearly known: The park was developed in several phases, at undetermined costs, between 2015 and 2020. Local residents will be without an emergency water supply for an undetermined length of time. More examplesFewer examples.

  3. Suppose scores on exams in statistics are normally distributed with an unknown population mean and a population standard deviation of three points. A random sample of 36 scores is taken and gives a sample mean (sample mean score) of 68.

  4. not measured, counted, or clearly known: The park was developed in several phases, at undetermined costs, between 2015 and 2020. Local residents will be without an emergency water supply for an undetermined length of time. Fewer examples.

  5. Statistics, like all other branches of mathematics, uses mathematical models to describe phenomena that occur in the real world. Some mathematical models are deterministic. These models can be used when one value is precisely determined from another value.

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