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      • The standard normal distribution is a normal distribution of standardized values called z-scores. A z-score is measured in units of the standard deviation. For example, if the mean of a normal distribution is five and the standard deviation is two, the value 11 is three standard deviations above (or to the right of) the mean.
      openstax.org/books/introductory-statistics-2e/pages/6-1-the-standard-normal-distribution

      6.1 The Standard Normal Distribution - OpenStax

  2. www.omnicalculator.com › normal-distributionNormal Distribution Calculator

    Yes, a normal distribution can have large standard deviation compared to the mean. For example, a normal distribution may have a mean of 6 but a standard deviation of 20. In general, the wider the normal distribution relative to the mean, the larger its standard deviation.

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      Let's take a look at an example with multi-colored balls. We...

  3. stats.stackexchange.com › questions › 206081What is implied by standard deviation being much larger than ...

    If the probability model is exponential, the variance is related to the square of the mean, so with an SD greater than the mean, we can infer that there is some evidence the mean is greater than "1" on whichever units you have used to measure the outcome.

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  5. www.statology.org › relationship-between-meanThe Relationship Between Mean & Standard Deviation (With Example)

    Aug 30, 2022 · The standard deviation gives us an idea of how spread out the values are around the mean in a dataset. The higher the value for the standard deviation, the more spread out the values are in a sample. By knowing both of these values, we can know a great deal about the distribution of values in a dataset.

  6. www.simplypsychology.org › normal-distributionBell Shaped Curve: Normal Distribution In Statistics

    Oct 11, 2023 · A normal distribution with a mean of 0 and a standard deviation of 1 is called a standard normal distribution. Figure 1. A standard normal distribution (SND). This is the distribution that is used to construct tables of the normal distribution. Why is the normal distribution important?

    • Can a normal distribution have a large standard deviation compared to the mean?1
    • Can a normal distribution have a large standard deviation compared to the mean?2
    • Can a normal distribution have a large standard deviation compared to the mean?3
    • Can a normal distribution have a large standard deviation compared to the mean?4
    • Can a normal distribution have a large standard deviation compared to the mean?5

  7. math.libretexts.org › Bookshelves › Applied8.6: The Normal Distribution - Mathematics LibreTexts

    1 day ago · If a dataset is perfectly normally distributed, then 68% of the data values will fall within one standard deviation of the mean. For example, suppose we have a set of data that follows the normal distribution with mean 400 and standard deviation 100. This means 68% of the data would fall between the values of 300 (one standard deviation below ...

  8. www.scribbr.com › statistics › normal-distributionNormal Distribution | Examples, Formulas, & Uses - Scribbr

    Oct 23, 2020 · The standard normal distribution, also called the z-distribution, is a special normal distribution where the mean is 0 and the standard deviation is 1. Any normal distribution can be converted into the standard normal distribution by turning the individual values into z-scores.

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  10. ecampusontario.pressbooks.pub › introstats › chapter5.4 The Standard Normal Distribution – Introduction to Statistics

    The standard normal distribution is a normal distribution of these standardized z z -scores. For any normal distribution with mean μ μ and standard deviation σ σ, we can transform the normal distribution to the standard normal distribution using the formula. z = x− μ σ z = x − μ σ. where x x is a value from the normal distribution.