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What does standard deviation tell about distribution and varity?
It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.
What is the z score of 1.0?
It is the value that is one standard deviation greater than the mean of a Normal (Gaussian) distribution.
Can the mean be less than the standard deviation?
In general, a mean can be greater or less than the standard deviation.
What are all the values a standard deviation can take?
The standard deviation must be greater than or equal to zero.
Is the higher the standard deviation the greater the variation?
Yes. Since the standard deviation is defined as the square root of the variance, it can be said that the higher the standard deviation, the higher the variance.
What does standard deviation tell about distribution and varity?
It is a measure of the spread of the distribution. The greater the standard deviation the more variety there is in the observations.
Can a standard deviation be greater than its mean?
Yes - but the distribution is not a normal distribution - this can happen with a distribution that has a very long tail.
What is the difference between a general normal curve and a standard normal curve?
A standard normal distribution has a mean of zero and a standard deviation of 1. A normal distribution can have any real number as a mean and the standard deviation must be greater than zero.
Can standard deviation be greater than mean?
Standard deviation can be greater than the mean.
What is the z score of 1.0?
It is the value that is one standard deviation greater than the mean of a Normal (Gaussian) distribution.
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.
Can the mean be less than the standard deviation?
In general, a mean can be greater or less than the standard deviation.
What are all the values a standard deviation can take?
The standard deviation must be greater than or equal to zero.
Assume that X has a normal distribution with mean equals 15.2 and standard deviation equals 0.9 What is the probability that X is greater than 16.1?
0.8413
Is the higher the standard deviation the greater the variation?
Yes. Since the standard deviation is defined as the square root of the variance, it can be said that the higher the standard deviation, the higher the variance.
How does the standard normal distribution differ from the t-distribution?
The normal distribution and the t-distribution are both symmetric bell-shaped continuous probability distribution functions. The t-distribution has heavier tails: the probability of observations further from the mean is greater than for the normal distribution. There are other differences in terms of when it is appropriate to use them. Finally, the standard normal distribution is a special case of a normal distribution such that the mean is 0 and the standard deviation is 1.
How do you calculate mean and Median smaller then Standard deviation?
In the same way that you calculate mean and median that are greater than the standard deviation!
