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Q: What are the units of measurement of standard deviation?

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The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.

'Standard' units provide a fixed, recognisable measurement by which everything can be compared.

Standard units are used for measurmen as there is a system called the SI units and that is considered as the international system of units that is why we use standard units for measurment .

The formula for standard deviation has both a square (which is a power of 2) and a square-root (a power of 1/2). Both must be there to balance each other, to keep the standard deviation value's magnitude similar to (having the same units as) the sample numbers from which it's calculated. If either is removed from the formula, the resulting standard deviation value will have different units, reducing its usefulness as a meaningful statistic.

Information is not sufficient to find mean deviation and standard deviation.

Related questions

The standard deviation has the same measurement units as the variable and is, therefore, more easily comprehended.

Units of measure do follow the standard deviation.

They are effectively the same but the standard deviation is more popular because the units of measurement are the same as those for the variable.

One can't associate a standard deviation with a single measurement like this.

units

SI units

The answer depends on the individual measurement in question as well as the mean and standard deviation of the data set.

Standard Deviation

Suppose the mean of a sample is 1.72 metres, and the standard deviation of the sample is 3.44 metres. (Notice that the sample mean and the standard deviation will always have the same units.) Then the coefficient of variation will be 1.72 metres / 3.44 metres = 0.5. The units in the mean and standard deviation 'cancel out'-always.

Standard units is the international system of units that IS WHY we use the si unit system .

Units of measurement provide a standard to measure mass, length etc.So, it is useful.

The "z-score" is derived by subtracting the population mean from the measurement and dividing by the population standard deviation. It measures how many standard deviations the measurement is above or below the mean. If the population mean and standard deviation are unknown the "t-distribution" can be used instead using the sample mean and sample deviation.

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