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Q: Which measure of variation is appropriate when using the mean?

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When using the mean: the variance or standard deviation. When using the median: the range or inter-quartile range.

Central tendency is measured by using the mean, median and mode of a set of numbers. Variation is measured by using the range, variance and standard deviation of a set of numbers.

Are you talking of this in means of Statistics? If you are, then the variation from the mean is measured in standard deviation.

No. A range is one measure of variation. It is easy to find, but it is also a rather crude measure.

mean

Yes.

It is a descriptive statistical measure used to measure the shape of the curve drawn from the frequency distribution or to measure the direction of variation. It is a measure of how far positively skewed (below the mean) or negatively skewed (above the mean) the majority (that's where the mode comes in) of the data lies. Useful when conducting a study using histograms. (mean - mode) / standard deviation. or [3(Mean-Median)]/Standard deviation

If you mean force (not forse) then you measure it using newtons.

Not sure what cable exactly you mean, but the meter is quite appropriate to measure cables in general.

One the main advantage of using the coefficient of variation over the standard deviation to measure volatility is the fact that CV is normalized and can be used to directly compare different asset's volatility. The standard deviation must be used in the context of the mean of the data.

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.

Coeff of Variation = Mean/SD

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