answersLogoWhite

0

Can the variance be zero

Updated: 4/28/2022
User Avatar

Wiki User

14y ago

Best Answer

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.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Can the variance be zero
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

Calcultate minimum variance?

It is zero.


What is varience?

In statistics, variance measures how far apart a set of numbers is spread out. If the numbers are identical, the variance is zero. Variance can never be negative.


Does variance and standard deviation assume nominal data?

No. Variance and standard deviation are dependent on, but calculated irrespective of the data. You do, of course, have to have some variation, otherwise, the variance and standard deviation will be zero.


What difference between a favorable variance and an unfavorable variance?

Favourable variance is that variance which is good for business while unfavourable variance is bad for business


What is the difference between negative price variance and volume variance?

Negative price variance is when the cost is less than budgeted. Volume variance is a variance in the volume produce.


What are the variances in a 4 variance analysis?

efficiency variance, spending variance, production volume variance, variable and fixed components


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.


What factors causes Budget Variance?

There are 7 variances associated with a budget ( which are generally calculated for controlling purposes) 1- Material Price variance 2- Material Quantity variance 3- Labor rate variance 4- Labor efficiency variance 5- Spending variance 6- Efficiency variance 7- Capacity variance


Which is not a measure of dispersion range or variance?

Variance


What is Assumptions for Variance Heterogeneous?

Unequal in Variance


What is Assumptions for Variance Homogeneous?

Equal in Variance


Can variance be negative?

Since Variance is the average of the squared distanced from the mean, Variance must be a non negative number.