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A standard deviation of zero means that all the data points are the same value.

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14y ago

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Can standard deviation equal zero?

Standard deviation can only be zero if all the data points in your set are equal. If all data points are equal, there is no deviation. For example, if all the participants in a survey coincidentally were all 30 years old, then the value of age would be 30 with no deviation. Thus, there would also be no standard deviation.A data set of one point (small sample) will always have a standard deviation of zero, because the one value doesn't deviate from itself at all.!


Are the mean and standard deviation equal in a poisson distribution?

The mean and variance are equal in the Poisson distribution. The mean and std deviation would be equal only for the case of mean = 1. See related link.


Using mean of 6.375 and Standard deviation of 1.47 plot values on normal distribution?

Your middle point or line for the plot (mean) would be 6.375. Then you would add/subtract 1.47 from your mean. For example, one standard deviation would equal 6.375 + 1.47 and one standard deviation from the left would be 6.375 - 1.47


Would the mean and standard deviation be negative if the set has only negative values?

The mean would be negative, but standard deviation is always positive.


The standard deviation of a distribution is 5 if you mutiply each score by 3 what would the new standard deviation be?

It would be 3*5 = 15.


How do you divide standard deviation?

Standard deviation is a number and you would divide it in exactly the same way as you would divide any other number!


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 is the deviation from the mean of 3?

The deviation from the mean of a dataset is calculated by subtracting the mean from each individual data point. If the mean of the dataset is 3, then the deviation from the mean for that value is 0, as it is equal to the mean. If you are referring to a specific value other than the mean, the deviation would be that value minus 3.


What is the standard deviation of 34?

The standard deviation of a single value, such as 34, is not defined in the traditional sense because standard deviation measures the spread of a set of data points around their mean. If you have a dataset that consists solely of the number 34, the standard deviation would be 0, since there is no variation. However, if you're referring to a dataset that includes 34 along with other values, the standard deviation would depend on the entire dataset.


If each score in a set of scores were increased by 6 points how would this affect the mean and the standard deviation?

This would increase the mean by 6 points but would not change the standard deviation.


If the standard deviation of the final was 12 points and if each value in the data set where multiplied by 1.75 what would be the standard deviation of the resulting data?

If each value in a data set is multiplied by a constant, the standard deviation of the resulting data set is also multiplied by that constant. In this case, since the original standard deviation is 12 points and each value is multiplied by 1.75, the new standard deviation would be 12 * 1.75 = 21 points.


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.