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- Calculating standard deviation step by step - Khan Academy
The standard deviation formula may look confusing, but it will make sense after we break it down In the coming sections, we'll walk through a step-by-step interactive example
- Population and sample standard deviation review - Khan Academy
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
- Measures of spread: range, variance standard deviation
Standard deviation measures how far apart numbers are in a data set Variance, on the other hand, gives an actual value to how much the numbers in a data set vary from the mean
- Variance and standard deviation of a discrete random variable
We learn how to calculate the mean and standard deviation of a discrete random variable The concept of a random variable is explained, along with methods to calculate its expected value (mean) and measure its spread (variance and standard deviation)
- The idea of spread and standard deviation - Khan Academy
A standard deviation close to 0 indicates that the data points tend to be close to the mean (shown by the dotted line) The further the data points are from the mean, the greater the standard deviation
- 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, squared, summed, divided, and then squared again (in the population formula)
- Visually assessing standard deviation (video) | Khan Academy
Think about it: remember how the standard deviation squared is the sum of all the points minus the mean squared? Since it is squared, there is no negative numbers, and only the distance from the mean matters on the value of the standard deviation
- Mean and standard deviation of a discrete random variable
Practice calculating and interpreting the mean and standard deviation of a discrete random variable
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