answersLogoWhite

0


Best Answer

The standard deviation is the square root of the variance.

User Avatar

Wiki User

โˆ™ 2012-03-03 21:51:41
This answer is:
๐Ÿ™
0
๐Ÿคจ
0
๐Ÿ˜ฎ
0
User Avatar
Study guides
๐Ÿ““
See all Study Guides
โœ๏ธ
Create a Study Guide

Add your answer:

Earn +20 pts
Q: What is the relationship between standard deviation and variance for the same sample data?
Write your answer...
Submit
Related questions

What is the relationship between the variance and the standard deviation?

is variance the square of the standard deviation


What is the relationship between standard deviation and variance?

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.


The difference between variance and standard deviation?

The SD is the (positive) square root of the variance.


How is standard deviation found?

Formally, the standard deviation is the square root of the variance. The variance is the mean of the squares of the difference between each observation and their mean value. An easier to remember form for variance is: the mean of the squares minus the square of the mean.


What will happen if the difference between scores and the mean decreases?

The variance and the standard deviation will decrease.


What is the relationship between standard deviation and precision?

The more precise a result, the smaller will be the standard deviation of the data the result is based upon.


What is the relationship between Confidence Interval and decreased Standard Deviation?

There is absolutely no relationship to what you've asked. I'm pretty sure you simply framed the question in the wrong way, but to literally answer your question... none. Zero relationship. There's no such thing. There is however a relationship between standard deviation and a CI, but a CI can in no shape way or form influence a standard deviation.


Distinguish between mean deviation and standard deviation?

The mean deviation for any distribution is always 0 and so conveys no information whatsoever. The standard deviation is the square root of the variance. The variance of a set of values is the sum of the probability of each value multiplied by the square of its difference from the mean for the set. A simpler way to calculate the variance is Expected value of squares - Square of Expected value.


Difference between standard deviation and mean devition?

The mean deviation (also called the mean absolute deviation) is the mean of the absolute deviations of a set of data about the data's mean. The standard deviation sigma of a probability distribution is defined as the square root of the variance sigma^2,


What is the relationship between the mean and standard deviation in statistics?

The 'standard deviation' in statistics or probability is a measure of how spread out the numbers are. It mathematical terms, it is the square root of the mean of the squared deviations of all the numbers in the data set from the mean of that set. It is approximately equal to the average deviation from the mean. If you have a set of values with low standard deviation, it means that in general, most of the values are close to the mean. A high standard deviation means that the values in general, differ a lot from the mean. The variance is the standard deviation squared. That is to say, the standard deviation is the square root of the variance. To calculate the variance, we simply take each number in the set and subtract it from the mean. Next square that value and do the same for each number in the set. Lastly, take the mean of all the squares. The mean of the squared deviation from the mean is the variance. The square root of the variance is the standard deviation. If you take the following data series for example, the mean for all of them is '3'. 3, 3, 3, 3, 3, 3 all the values are 3, they're the same as the mean. The standard deviation is zero. This is because the difference from the mean is zero in each case, and after squaring and then taking the mean, the variance is zero. Last, the square root of zero is zero so the standard deviation is zero. Of note is that since you are squaring the deviations from the mean, the variance and hence the standard deviation can never be negative. 1, 3, 3, 3, 3, 5 - most of the values are the same as the mean. This has a low standard deviation. In this case, the standard deviation is very small since most of the difference from the mean are small. 1, 1, 1, 5, 5, 5 - all the values are two higher or two lower than the mean. This series has the highest standard deviation.


What is variance?

The variance of a random variable is a measure of its statistical dispersion, indicating how far from the expected value its values typically are (Wikipedia 2006). The variance of a real-valued random variable is its second central moment, and it also happens to be its second cumulant (Wikipedia 2006). The variance of a random variable is the square of its standard deviation (Wikipedia 2006). Variance is the difference between what is expected and the actuals. it is the difference between "should take" and "did take". The deviation from the actuals is called variance. Variance can be of two types positive and negative.


Does standard deviation have to be between 0 and 1?

Standard deviation doesn't have to be between 0 and 1.


What is the difference between standard error of mean and standard deviation of means?

Standard error of the mean (SEM) and standard deviation of the mean is the same thing. However, standard deviation is not the same as the SEM. To obtain SEM from the standard deviation, divide the standard deviation by the square root of the sample size.


How much error between sample mean and population mean?

The answer depends on the underlying variance (standard deviation) in the population, the size of the sample and the procedure used to select the sample.


How To Calculate Standard Deviation?

You can calculate standard deviation by addin the numbers of data that are together and dividing that number by the amount pieces of data.THAT IS TOTALLY INCORRECT.What was answered above was the calculation for getting an (mean) average.If you take five numbers for example 1, 2, 3, 4, 5 then the (mean) average is 3.But the standard deviation between them is 1.58814 and the variance is 2.5Also the population std. deviation will be 1.41421 and the population variance will be 2.see standard-deviation.appspot.com/


What is a difference between a pooled variance and a combined variance?

Pooled variance is a method for estimating variance given several different samples taken in different circumstances where the mean may vary between samples but the true variance (equivalently, precision) is assumed to remain the same. A combined variance is a method for estimating variance from several samples, given the size, mean and standard deviation of each. Mathematically, a combined variance is equal to the calculated variance of the set of the data from all samples. See links.


What is the difference between variable overheads cost variance andfixed overheads cost variance?

Variable overhead cost variance is that variance which is in variable overheads costs between the standard cost and the actual variable cost WHILE fixed overheads cost variance is variance between standard fixed overhead cost and actual fixed overhead cost.


How do you apply standard deviation to normal curve?

The distance between the middle and the inflection point is the standard deviation.


What is the difference between standard deviation and mean?

The mean is the average value and the standard deviation is the variation from the mean value.


What is favourable variance?

A favorable variance is the difference between the budgeted or standard cost and the actual cost. If the actual cost is less than budgeted or standard cost, it is a favorable variance.


What is the relationship between the relative size of the starndard deviation and the kurtosis of a distribution?

It is inversely proportional; a larger standard deviation produces a small kurtosis (smaller peak, more spread out data) and a smaller standard deviation produces a larger kurtosis (larger peak, data more centrally located).


Difference between beta and standard deviation?

* * *


What is the difference between standard error and standard deviation?

Standard error is the difference between a researcher's actual findings and their expected findings. Standard error measures the accuracy of one's predictions. Standard deviation is the difference between the results of one's experiment as compared with other results within that experiment. Standard deviation is used to measure the consistency of one's experiment.


What is standard deviation?

It is defined as the positive square root of the mean of the squared deviations from mean. The square of S.D is called variance. The standard deviation is used as a measure of the variance of a measurement within a group of objects. In essence, it is the average difference between the measurement of any one object and the mean measurement for the group. For example, if the average measured weight of brown bears is 140kg (265lbs) and the standard deviation of weights among brown bears is 5kg (11lbs), then any particular, individual brown bear is likely to weight between 135-145kg (254-276lbs), and very likely to weight between 130-150kg (243-287lbs). It's impossible to know the weight of an individual bear just by looking at the mean weight for all bears, but the standard deviation tells you what range of weights the weight of an individual bear will fall in.

People also asked

What is the importance of first aid in 2 pages?

View results

What is the sample standard deviation of 27.5?

View results