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

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14y ago

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Can a standard deviation be 0?

Yes. For this to happen, the values would all have to be the same.


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


How can one determine the standard deviation of a portfolio?

To determine the standard deviation of a portfolio, you would need to calculate the weighted average of the individual asset standard deviations and their correlations. This involves multiplying the squared weight of each asset by its standard deviation, adding these values together, and then taking the square root of the result. This calculation helps measure the overall risk and volatility of the portfolio.


How would a data set containing the values of a variable with a mean of 50 and standard deviation of 2 compare with a mean of 50 and standard deviation of 20?

The first set would have most data points very close to 50 while in the second set they would be much further away.


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 would it mean if a standard deviation was calculated to equal 0?

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


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.


What does a large standard deviation signify?

Standard deviation is basically how much your scores vary from the mean or average score. So if you have a mean of 5 and a standard deviation of 2 it indicates that most of your values are around 5, and if they are not they will usually be +/- 2 units different (between 3 and 7). If you have a large standard deviation it simply means that your data includes a wide range of values. In some cases it may mean that you have an outlier, or an error in your data, in other cases it is normal depending on what you are measuring.For example if you are taking a sample of peoples ages and you get a mean of 50 and a standard deviation of 20 that would be normal because you can expect ages to range from 0-100. But if you are measuring shoe size and you get a mean of 8 and a standard deviation of 6 you can expect that something is wrong with your data because not many people have size 2 or size 14 shoes.


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.


Why would someone need a standard deviation calculator?

A standard deviation calculator allows the user to find the mean spread away from the mean in a statistical environment. Most users needing to find the standard deviation are in the statistics field. Usually, the data set will be given and must be typed into the calculator. The standard deviation calculator will then give the standard deviation of the data. In order to find the variance of the data, simply square the answer.