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Standard deviation is the square root of the variance. Since you stated the variance is 4, the standard deviation is 2.

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Q: If a set of data has 100 points and a variance 4 then what is the standard deviation?
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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.


Is variance square of standard deviation?

Yes, the variance of a data set is the square of the standard deviation (sigma) of the set. This means that the variance is always a positive number, even though the data might have a negative sigma value.


Why variance is bigger than standard deviation?

The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.


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.


Given that the variance for a data set is 1.20 what is the standard deviation?

1.10

Related questions

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.


If a set of data has 100 points and variance 4 then the standard deviation is?

The SD is 2.


What is the relationship between standard deviation and variance for the same sample data?

The standard deviation is the square root of the variance.


Relation between mean and standard deviation?

Standard deviation is the variance from the mean of the data.


What does the standard deviation tell us?

standard deviation is the square roots of variance, a measure of spread or variability of data . it is given by (variance)^1/2


If the variance of the data a population is 256 what is the standard deviation of the data values?

16


Is variance square of standard deviation?

Yes, the variance of a data set is the square of the standard deviation (sigma) of the set. This means that the variance is always a positive number, even though the data might have a negative sigma value.


Why variance is bigger than standard deviation?

The variance is standard deviation squared, or, in other terms, the standard deviation is the square root of the variance. In many cases, this means that the variance is bigger than the standard deviation - but not always, it depends on the specific values.


If the variance of the data values in a sample is 121 what is the standard deviation of the data values?

11


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.


If the variance of the data values in a population is 196 what is the standard deviation of the data values?

14 Apex


Given that the variance for a data set is 1.20 what is the standard deviation?

1.10