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Standard deviation is a measure of the scatter or dispersion of the data. Two sets of data can have the same mean, but different standard deviations. The dataset with the higher standard deviation will generally have values that are more scattered. We generally look at the standard deviation in relation to the mean. If the standard deviation is much smaller than the mean, we may consider that the data has low dipersion. If the standard deviation is much higher than the mean, it may indicate the dataset has high dispersion A second cause is an outlier, a value that is very different from the data. Sometimes it is a mistake. I will give you an example. Suppose I am measuring people's height, and I record all data in meters, except on height which I record in millimeters- 1000 times higher. This may cause an erroneous mean and standard deviation to be calculated.

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Q: What determines the standard deviation to be high?
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11 Determines how far away the data values are from the average?

Standard deviation determines how far away the data values are from the average.


What is considered a high standard deviation?

There's no valid answer to your question. The problem is a standard deviation can be close to zero, but there is no upper limit. So, I can make a statement that if my standard deviation is much smaller than my mean, this indicates a low standard deviation. This is somewhat subjective. But I can't make say that if my standard deviation is many times the mean value, that would be considered high. It depends on the problem at hand.


In research how to define standard deviation?

Standard deviation shows how much variation there is from the "average" (mean). A low standard deviation indicates that the data points tend to be very close to the mean, whereas high standard deviation indicates that the data are spread out over a large range of values.


What are the assumptions of standard deviation?

The standard deviation is the standard deviation! Its calculation requires no assumption.


What if I have a very high standard deviation?

The larger the value of the standard deviation, the more the data values are scattered and the less accurate any results are likely to be.


What does the sample standard deviation best estimate?

The standard deviation of the population. the standard deviation of the population.


What is standard deviation of 155.45?

The standard deviation is 0.


If quartile deviation is 24. find mean deviation and standard deviation?

Information is not sufficient to find mean deviation and standard deviation.


What is the relationship between standard deviation and variance?

Standard deviation is the square root of the variance.


Is a standard deviation of 18 considered high?

The standard deviation, in itself, cannot be high nor low. If the same measurements were recorded using a unit that was a ten times as large (centimetres instead of millimetres), the standard deviation for exactly the same data set would be 1.8. And if they were recorded in metres the sd would be 0.018


What is the standard deviation of a standard normal distribution?

The standard deviation in a standard normal distribution is 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.