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โˆ™ 2013-02-15 23:49:53
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Q: Which measure of central location will the sum of the deviation of each value from the data's average will always be zero?
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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.


Does standard deviation and mean deviation measure dispersion the same?

No. The average of the deviations, or mean deviation, will always be zero. The standard deviation is the average squared deviation which is usually non-zero.


What is statistical average?

average is defined as a single value which has tendency to represent the data as a whole. averages are also called "measure of central tendency" or "measure of location"


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


What does mean deviation tells us about the data?

It is a measure of how variable the data is. The average distance from the average.


Why you measure standard deviation?

The idea is to know how much the values "spread out" from the average.


What is strandard deviation?

It is a measure of how much individual values spread around the average.


What is mean and standard deviation?

They are statistical measures. For a set of observations of some random variable the mean is a measure of central tendency: a kind of measure which tells you around what value the observations are. The standard deviation is a measure of the spread around the mean.


What provides a measure of central location for the data?

mean


Why do you seldom use the mean or average deviation as a measure of dispersion?

because of grace severo


What standard deviation tells us about a distribution?

It is a measure of the spread of the distribution: whether all the observations are clustered around a central measure or if they are spread out.


Do units of measure follow the standard deviation?

Units of measure do follow the standard deviation.


What measure of central location is used to determine an average annual percent increase?

The geometric mean can be used to find average percent change over a period of time.


How do you find absolute deviation?

You do not have absolute deviation in isolation. Absolute deviation is usually defined around some measure of central tendency - usually the mean but it could be another measure. The absolute deviation of an observation x, about a measure m is |x - m| which is the non-negative value of (x - m). That is, |x - m| = x - m if x ≥ m and m - x if x < m


What is standard deviation used for?

Standard deviation is a measure of the spread of data.


What are the uses of standard deviation?

The standard deviation is a measure of the spread of data.


What is the difference between central tendency and average or mean?

The average or mean is one measure of central tendency. There are several.


Is range a measure of central location?

No, it isn't. Mean, median, and mode are the three most common measures of central location (although there are others). These measures of central location are attempts to find the middle value of a range.


What are the criteria for choosing measure of central tendency and measure of variation?

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.


Is mean a measure of central location?

yes it is, but it is actually called central tendecey just like( the median and mode)


Know as the measure of sample?

Mean or average is the most common measure of central tendency of a sample.


Why standard deviation is better measure of variance?

1. Standard deviation is not a measure of variance: it is the square root of the variance.2. The answer depends on better than WHAT!


Why standard deviation is best measure of dispersion?

standard deviation is best measure of dispersion because all the data distributions are nearer to the normal distribution.


Which measure of varartion is preferred when the mean is used as the measure of center?

standard deviation