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Q: What is the arithmetic mean of the absolute values of the deviations of the individual values from the mean in a data set?

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An arithmetic mean is a measure of central tendency of a set of values computed by dividing the sum of the values by the number of values.

The arithmetic mean is calculated by adding together the values and dividing by how many values there are. This is distinct from the geometric mean which is calculated as the nth root of the product of the values where n is the number of values multiplied together.

All numbers have opposites that are the same as their absolute values.

Arithmetic operations act on the values of numbers or expressions. Logical operations act on the truth-values of statements or equations.

The answer depends on absolute deviation from what: the mean, median or some other measure. Suppose you have n observations, x1, x2, ... xn and you wish to calculate the sum of the absolute deviation of these observations from some fixed number c. The deviation of x1 from c is (x1 - c). The absolute deviation of x1 from c is |x1 - c|. This is the non-negative value of (x1 - c). That is, if (x1 - c) â‰¤ 0 then |x1 - c| = (x1 - c) while if (x1 - c) < 0 then |(x1 - c)| = - (x1 - c). Then the sum of absolute deviations is the above values, summed over x1, x2, ... xn.

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It gets the average of the absolute deviations of a set of values from their mean. It can use numbers or references to those numbers.

ZeroDetails:The "Standard Deviation" for ungrouped data can be calculated in the following steps:all the deviations (differences) from the arithmetic mean of the set of numbers are squared;the arithmetic mean of these squares is then calculated;the square root of the mean is the standard deviationAccordingly,The arithmetic mean of set of data of equal values is the value.All the deviations will be zero and their squares will be zerosThe mean of squares is zeroThe square root of zero is zero which equals the standard deion

An arithmetic mean is a measure of central tendency of a set of values computed by dividing the sum of the values by the number of values.

When 'x' and 'y' both have the same sign.

The arithmetic mean is more commonly known as the average. It is the sum of the values divided by the number of values.

summing the values and dividing by the number of values

The arithmetic mean is calculated by adding together the values and dividing by how many values there are. This is distinct from the geometric mean which is calculated as the nth root of the product of the values where n is the number of values multiplied together.

Males generally can generate higher values of force compared to women. The difference is not on an individual basis but a population level.

You need to have all the values within the range to calculate the arithmetic mean .

All numbers have opposites that are the same as their absolute values.

Additive opposites MUST have the same absolute values.

Arithmetic operations act on the values of numbers or expressions. Logical operations act on the truth-values of statements or equations.

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