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  1. Khan Academy | Khan Academy

    Oops. Something went wrong. Please try again. Uh oh, it looks like we ran into an error. You need to refresh. If this problem persists, tell us.

  2. Concept check: Standard deviation (article) | Khan Academy

    Standard deviation involves adding and subtracting values at various steps in the calculation process. For example, the differences between each data point and the mean are calculated, …

  3. Population standard deviation (video) | Khan Academy

    It's a way of quantifying how spread out the data is from its mean. A small standard deviation means that the data points are generally close to the mean, while a large standard deviation …

  4. Measures of spread: range, variance & standard deviation

    The range is easy to calculate—it's the difference between the largest and smallest data points in a set. Standard deviation is the square root of the variance. Standard deviation is a measure …

  5. Population and sample standard deviation review

    The formula we use for standard deviation depends on whether the data is being considered a population of its own, or the data is a sample representing a larger population.

  6. Statistics: Alternate variance formulas (video) | Khan Academy

    Sal explains a different variance formula and why it works! For a population, the variance is calculated as σ² = ( Σ (x-μ)² ) / N. Another equivalent formula is σ² = ( (Σ x²) / N ) - μ². If we …

  7. The idea of spread and standard deviation - Khan Academy

    In population standard deviation is calculated using every individual from that population while in sample standard deviation we take specific number of individuals from the population.

  8. Reference: Conditions for inference on a proportion (article) | Khan ...

    While meeting the independence condition is necessary for using the standard deviation formula for the sample proportion, the other conditions (random and normal) are also important for the …

  9. Normal distribution problems: Empirical rule - Khan Academy

    The rule states that (approximately): - 68% of the data points will fall within one standard deviation of the mean. - 95% of the data points will fall within two standard deviations of the mean. - …

  10. Variance of a population (video) | Khan Academy

    The standard deviation (sigma) is a measure of how much the data is spread out around the mean, not a better guess as to what the mean should be. A small value of sigma indicates that …