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Yes. It all the observed values are exactly the same then the SD will be 0.

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Q: Is it possible for the standard deviation of a set of data to be zero Explain.?
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What is standard deviation used for?

Standard deviation is a measure of the spread of data.


Can a standard deviation of 4.34 be correct?

Yes, a standard deviation of 4.34 can be correct. Standard deviation is a measure of dispersion or variability in a data set. It represents the average amount by which individual data points deviate from the mean. Therefore, a standard deviation of 4.34 simply indicates that there is some variability in the data, with data points on average deviating by 4.34 units from the mean.


If the standard deviation is small the data is more dispersed?

No, if the standard deviation is small the data is less dispersed.


What does one standard deviation mean?

Standard deviation is a measure of variation from the mean of a data set. 1 standard deviation from the mean (which is usually + and - from mean) contains 68% of the data.


Explain the purpose of calculating standard deviation and quartile deviation?

Standard deviation helps planners and administrators to arrive at a figure that could be used to determine a range that can effectively describe a given set of numerical information/data; and based on which a decision concerning a system of those data can be made.


Why do we need the standard deviation?

The standard deviation is a measure of the spread of data.


Relation between mean and standard deviation?

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


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 a large standard deviation means?

A large standard deviation means that the data were spread out. It is relative whether or not you consider a standard deviation to be "large" or not, but a larger standard deviation always means that the data is more spread out than a smaller one. For example, if the mean was 60, and the standard deviation was 1, then this is a small standard deviation. The data is not spread out and a score of 74 or 43 would be highly unlikely, almost impossible. However, if the mean was 60 and the standard deviation was 20, then this would be a large standard deviation. The data is spread out more and a score of 74 or 43 wouldn't be odd or unusual at all.


What are the units of measurement of standard deviation?

Standard deviation has the same unit as the data set unit.


What does standard deviation show us about a set of scores?

Standard Deviation tells you how spread out the set of scores are with respects to the mean. It measures the variability of the data. A small standard deviation implies that the data is close to the mean/average (+ or - a small range); the larger the standard deviation the more dispersed the data is from the mean.


What does a standard deviation of 0 tell you?

The smaller the standard deviation, the closer together the data is. A standard deviation of 0 tells you that every number is the same.