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Which measure of central tendency will the sum of the deviations always be zero?

For which measure of central tendency will the sum of the deviations always be zero?


Which measure of central location will the sum of the deviations of each value from the data's average always be zero?

the mean


For which measure of central location will the sum of the deviations of each value from the data's average will always be zero?

The mean.


What is the sum of all deviations of a data value from a measure of central location that will always be zero?

Difference (deviation) from the mean.


For which measure of central tendency will the sum of the deviations always be zero?

Mean


Which measure of central location will the sum of the deviation of each value from the data's average will always be zero?

the mean %100


The sum of the deviations about the mean always equals what?

The sum of total deviations about the mean is the total variance. * * * * * No it is not - that is the sum of their SQUARES. The sum of the deviations is always zero.


A value that is typical or representative of the data is referred to as a measure of central location?

No, it is not, values typical of the data are always located at the extremes of all data frequencies.


Which measures of central location always have only one value for a set of grouped or ungrouped data?

Mean and median are the measures of central location that always have one value. This is true for a set of grouped or ungrouped data.


The sum of the deviations from the mean is always?

0 (zero).


Which measures of central location always have only one value?

median and mode


Why don't we measure spread about the mean by simply averaging the deviations of individual data values from their mean?

Averaging the deviations of individual data values from their mean would always result in zero, since the mean is the point at which the sum of deviations is balanced. This occurs because positive and negative deviations cancel each other out. Instead, measures like variance and standard deviation are used, which square the deviations to ensure all values contribute positively, providing a meaningful representation of spread around the mean.