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What does a negative deviation mean?

Anonymous

∙ 10y ago

Updated: 4/28/2022

A negative deviation means that the observation is smaller than whatever it is that the deviation is being measured from.

Wiki User

∙ 10y ago

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Q: What does a negative deviation mean?

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Continue Learning about Statistics

Relation between quartile deviation and mean deviation?

mean deviation =(4/5)quartile deviation

How does one interpret a standard deviation which is more than the mean?

Standard deviation is a measure of the dispersion of the data. When the standard deviation is greater than the mean, a coefficient of variation is greater than one. See: http://en.wikipedia.org/wiki/Coefficient_of_variation If you assume the data is normally distributed, then the lower limit of the interval of the mean +/- one standard deviation (68% confidence interval) will be a negative value. If it is not realistic to have negative values, then the assumption of a normal distribution may be in error and you should consider other distributions. Common distributions with no negative values are gamma, log normal and exponential.

Can standard deviation be a negative?

No. Standard deviation is the square root of a non-negative number (the variance) and as such has to be at least zero. Please see the related links for a definition of standard deviation and some examples.

How do mean deviation from median?

The mean deviation from the median is equal to the mean minus the median.

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.

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Related Questions

Would the mean and standard deviation be negative if the set has only negative values?

The mean would be negative, but standard deviation is always positive.

How do you know if a z score is positive or negative?

A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.

What can cause standard deviation to be negative?

Standard deviation can never be negative.

Can The standard deviation of a distribution be a negative value?

No. The standard deviation is not exactly a value but rather how far a score deviates from the mean.

Can the standard deviation or variance be negative?

No, a standard deviation or variance does not have a negative sign. The reason for this is that the deviations from the mean are squared in the formula. Deviations are squared to get rid of signs. In Absolute mean deviation, sum of the deviations is taken ignoring the signs, but there is no justification for doing so. (deviations are not squared here)

What is mean deviation and why is quartile deviation better than mean deviation?

What is mean deviation and why is quartile deviation better than mean deviation?

What does a negative z-score mean?

z-score of a value=(that value minus the mean)/(standard deviation). So if a value has a negative z-score, then it is below the mean.

Can standard deviation and variance be negative?

No. Neither the standard deviation nor the variance can ever be negative.

Can average deviation be negative?

No, average deviation cannot be negative. Deviation is a representation of differences between numbers. A difference is always an absolute value, so the number cannot be negative (even though subtracting the deviation from an average may result in a a negative result).

What is the mean absolute deviation of 8590687579?

None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0None.The mean of a single number is itself.Therefore deviation from the mean = 0Therefore absolute deviation = 0Therefore mean absolute deviation = 0

Is the mean deviation the mean of the actual values of the deviation from the?

No. The mean deviation is 0. Always.

How do you calculate mean average deviation?

The mean average deviation is the same as the mean deviation (or the average deviation) and they are, by definition, 0.

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