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If data set A has a larger standard deviation than data set B data set A is less spread out than data set B.?
This statement is incorrect. If data set A has a larger standard deviation than data set B, it indicates that data set A is more spread out, not less. A larger standard deviation reflects greater variability and dispersion of data points from the mean, while a smaller standard deviation suggests that data points are closer to the mean and thus less spread out.
What is the standard deviation of 9?
You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.
Can a standard deviation of a sample be less than a standard deviation of a population?
Sure it can. But in the survey business, the trick is to select your sample carefully so that they'll be equal, i.e. a sample that is accurately representative of the population.
Is it possible for the standard deviation to be less than the sample mean?
Absolutely. In fact I would commonly expect it to be. If, for example, the sample mean for the length of a bolt was 5.5 cm, you would certainly hope the standard deviation was a lot less than 5.5 cm. or it would imply bolts with a negative length (not quite sure how you'd do that without breaching some alternate dimension - no pun intended.)
Is it true or false that the standard deviation of a set is always smaller than the variance of that set?
False. The standard deviation of a set is the square root of the variance, so it is not always smaller; in fact, it is always less than or equal to the variance when the variance is positive. The standard deviation can be equal to the variance only when the variance is 1 (since the square root of 1 is 1).
Can the mean be less than the standard deviation?
In general, a mean can be greater or less than the standard deviation.
Is mean deviation less than standard deviation?
Yes, the mean deviation is typically less than or equal to the standard deviation for a given dataset. The mean deviation measures the average absolute deviations from the mean, while the standard deviation takes into account the squared deviations, which can amplify the effect of outliers. Consequently, the standard deviation is usually greater than or equal to the mean deviation, but they can be equal in certain cases, such as when all data points are identical.
Can the Variance ever be smaller than standard deviation?
Yes. If the variance is less than 1, the standard deviation will be greater that the variance. For example, if the variance is 0.5, the standard deviation is sqrt(0.5) or 0.707.
When is a t test better than a z score?
When you don't have the population standard deviation, but do have the sample standard deviation. The Z score will be better to do as long as it is possible to do it.
How do you know if a z score is positive or negative?
A negative Z-Score corresponds to a negative standard deviation, i.e. an observation that is less than the mean, when the standard deviation is normalized so that the standard deviation is zero when the mean is zero.
Can standard deviation be greater than mean?
Standard deviation can be greater than the mean.
Why the value of relative standard deviation should be less than 2?
There is no reason for that to happen.
Can a standard deviation be less than 1?
Yes. Standard deviation depends entirely upon the distribution; it is a measure of how spread out it is (ie how far from the mean "on average" the data is): the larger it is the more spread out it is, the smaller the less spread out. If every data point was the mean, the standard deviation would be zero!
Can standard deviation value be less than 01?
Yes, it can have any non-negative value.
What is the standard deviation of 9?
You need more than one number to calculate a standard deviation, so 9 does not have a standard deviation.
Is it possible to have a standard deviation of less than one?
Anand Mehta said yes and this is correct. You will get a SD, for example, if all of the data points are less than one, or if the data points are very close together and there is not much spread in the data..
What does it indicate if the mean is greater than the standard deviation?
It does not indicate anything if the mean is greater than the standard deviation.
