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


Is there a measure of central location that the sum of deviations of each value will always be zero?

yes is it the median?


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.


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

the mean


Which measure of central tendency is always part of any data set?

mean


What is the smallest measure of central tendency in a positively skewed distribution?

If the distribution is positively skewed distribution, the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency. This is true if we assume the distribution has a single mode.


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.


Is the best measure of central tendency always the mean?

Its the one most commonly used but outliers can seriously distort the mean.


What are the characteristics of mean as a measure of central tendency?

One of the characteristics of mean when measuring central tendency is that when there are positively skewed distributions, the mean is always greater than the median. Another characteristic is that when there are negatively skewed distributions, the mean is always less than the median.


Is Mean is more sensitive to skewness than the median?

If the distribution is positively skewed , then the mean will always be the highest estimate of central tendency and the mode will always be the lowest estimate of central tendency (If it is a uni-modal distribution). If the distribution is negatively skewed then mean will always be the lowest estimate of central tendency and the mode will be the highest estimate of central tendency. In both positive and negative skewed distribution the median will always be between the mean and the mode. If a distribution is less symmetrical and more skewed, you are better of using the median over the mean.


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.


The sum of the deviations from the mean is always?

0 (zero).