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- Which mean to use and when? - Cross Validated
So we have arithmetic mean (AM), geometric mean (GM) and harmonic mean (HM) Their mathematical formulation is also well known along with their associated stereotypical examples (e g , Harmonic mea
- What is the difference between mean value and average?
The mean you described (the arithmetic mean) is what people typically mean when they say mean and, yes, that is the same as average The only ambiguity that can occur is when someone is using a different type of mean, such as the geometric mean or the harmonic mean, but I think it is implicit from your question that you were talking about the arithmetic mean
- mean - Difference between standard error and standard deviation - Cross . . .
I'm struggling to understand the difference between the standard error and the standard deviation How are they different and why do you need to measure the standard
- Why is Standard Deviation preferred over Absolute Deviations from the Mean?
The mean is the number that minimizes the sum of squared deviations Absolute mean deviation achieves point (1), and absolute median deviation achieves both points (1) and (3)
- What is the difference between Mean Squared Deviation and Variance?
I also guess that some people prefer using mean squared deviation as a name for variance because it is more descriptive -- you instantly know from the name what someone is talking about, while for understanding what variance is you need to know at least elementary statistics Check the following threads to learn more:
- Explaining Mean, Median, Mode in Laymans Terms
Hence, the mean acts as the balancing point in a distribution This visual allows an immediate understanding of the mean as it relates to the distribution of the data points Other property of the mean that becomes readily apparent from this demonstration is the fact that the mean will always be between the min and the max values in the
- Mean absolute deviation vs. standard deviation - Cross Validated
After calculating the "sum of absolute deviations" or the "square root of the sum of squared deviations", you average them to get the "mean deviation" and the "standard deviation" respectively The mean deviation is rarely used
- Standard Error vs. Standard Deviation of Sample Mean
Remember that the sample mean $\bar x$ is itself a random variable So the first formula tells you the standard deviation of the random variable $\bar x$ in terms of the standard deviation of the original distribution and the sample size
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