answersLogoWhite

0

Why sum of deviation from mean is zero?

Updated: 4/28/2022
User Avatar

Wiki User

14y ago

Best Answer

That's like saying that on average, the values are equal to the average.

That's like saying that on average, the values are equal to the average.

That's like saying that on average, the values are equal to the average.

That's like saying that on average, the values are equal to the average.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar
More answers
User Avatar

Wiki User

14y ago

That's like saying that on average, the values are equal to the average.

This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Why sum of deviation from mean is zero?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Continue Learning about Other Math

What is the Sum of deviation from the mean is?

The sum of deviations from the mean, for any set of numbers, is always zero. For this reason it is quite useless.


Can the variance be zero?

Variance is standard deviation squared. If standard deviation can be zero then the variance can obviously be zero because zero squared is still zero. The standard deviation is equal to the sum of the squares of each data point in your data set minus the mean, all that over n. The idea is that if all of your data points are the same then the mean will be the same as every data point. If the mean is the equal to every data point then the square of each point minus the mean would be zero. All of the squared values added up would still be zero. And zero divided by n is still zero. In this case the standard deviation would be zero. Short story short: if all of the points in a data set are equal than the variance will be zero. Yes the variance can be zero.


What is the mean absoulute deviation of the data set 1247262538453535413932251830?

The mean absolute deviation for one number is always zero.


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?


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)

Related questions

What is the sum of the deviation from the mean of ungroup data?

It is zero.


What is the Sum of deviation from the mean is?

The sum of deviations from the mean, for any set of numbers, is always zero. For this reason it is quite useless.


What will the sum of the deviation score always be?

zero


Why does the mean absolute value deviation is calculated using absolute value?

if no absolute value is used the sum is zero.


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.


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


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.


How do you compute mean deviation?

You don't need to. The mean deviation is, by definition, zero.


What is the deviation mean of 50?

The deviation about the mean of a single number is always zero.


What is absolute mean deviation of first 50 digits of pi?

The mean deviation of any set of numbers is always zero and so the absolute mean deviation is also always zero.


How do you derive mean deviation from mean for pareto distribution?

The total deviation from the mean for ANY distribution is always zero.


Can the variance be zero?

Variance is standard deviation squared. If standard deviation can be zero then the variance can obviously be zero because zero squared is still zero. The standard deviation is equal to the sum of the squares of each data point in your data set minus the mean, all that over n. The idea is that if all of your data points are the same then the mean will be the same as every data point. If the mean is the equal to every data point then the square of each point minus the mean would be zero. All of the squared values added up would still be zero. And zero divided by n is still zero. In this case the standard deviation would be zero. Short story short: if all of the points in a data set are equal than the variance will be zero. Yes the variance can be zero.